TSTP Solution File: GRP274-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP274-1 : 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 16:15:08 EDT 2022

% Result   : Unsatisfiable 1.93s 0.79s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  348 (  27 unt;   0 def)
%            Number of atoms       : 1215 ( 389 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1692 ( 825   ~; 847   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  21 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :   63 (  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1492,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f79,f88,f89,f94,f99,f100,f113,f118,f123,f124,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f338,f383,f407,f501,f547,f566,f575,f582,f646,f665,f673,f716,f779,f793,f1244,f1301,f1307,f1321,f1383,f1426,f1433,f1491]) ).

fof(f1491,plain,
    ( ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(avatar_contradiction_clause,[],[f1490]) ).

fof(f1490,plain,
    ( $false
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(subsumption_resolution,[],[f1489,f1416]) ).

fof(f1416,plain,
    ( identity = inverse(identity)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(backward_demodulation,[],[f1373,f1403]) ).

fof(f1403,plain,
    ( identity = sk_c7
    | ~ spl10_12
    | ~ spl10_26 ),
    inference(backward_demodulation,[],[f117,f772]) ).

fof(f772,plain,
    ( identity = sF6
    | ~ spl10_26 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl10_26
  <=> identity = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).

fof(f117,plain,
    ( sk_c7 = sF6
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl10_12
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f1373,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f1179,f1368]) ).

fof(f1368,plain,
    ( sk_c7 = sk_c3
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f1288,f1367]) ).

fof(f1367,plain,
    ( sk_c7 = multiply(inverse(sk_c7),identity)
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1339,f1346]) ).

fof(f1346,plain,
    ( identity = sk_c5
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1331,f2]) ).

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

fof(f1331,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f435,f484]) ).

fof(f484,plain,
    ( sk_c7 = sk_c6
    | ~ spl10_21 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl10_21
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).

fof(f435,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f185,f93]) ).

fof(f93,plain,
    ( sk_c6 = sF7
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl10_6
  <=> sk_c6 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f185,plain,
    sk_c5 = multiply(inverse(sk_c7),sF7),
    inference(superposition,[],[f164,f42]) ).

fof(f42,plain,
    multiply(sk_c7,sk_c5) = sF7,
    introduced(function_definition,[]) ).

fof(f164,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f155,f1]) ).

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

fof(f155,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f1339,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl10_7
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f1259,f484]) ).

fof(f1259,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f459,f98]) ).

fof(f98,plain,
    ( sk_c5 = sF5
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl10_7
  <=> sk_c5 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f459,plain,
    sk_c7 = multiply(inverse(sk_c6),sF5),
    inference(superposition,[],[f164,f38]) ).

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

fof(f1288,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl10_5 ),
    inference(superposition,[],[f164,f1210]) ).

fof(f1210,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f755,f87]) ).

fof(f87,plain,
    ( sk_c7 = sF4
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl10_5
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f755,plain,
    identity = multiply(sF4,sk_c3),
    inference(superposition,[],[f2,f36]) ).

fof(f36,plain,
    inverse(sk_c3) = sF4,
    introduced(function_definition,[]) ).

fof(f1179,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f36,f87]) ).

fof(f1489,plain,
    ( identity != inverse(identity)
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(forward_demodulation,[],[f1485,f1416]) ).

fof(f1485,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(trivial_inequality_removal,[],[f1482]) ).

fof(f1482,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(superposition,[],[f1420,f2]) ).

fof(f1420,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(forward_demodulation,[],[f1418,f1403]) ).

fof(f1418,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(backward_demodulation,[],[f1393,f1403]) ).

fof(f1393,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1392,f484]) ).

fof(f1392,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1324,f1346]) ).

fof(f1324,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c7 != inverse(X6) )
    | ~ spl10_11
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f112,f484]) ).

fof(f112,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl10_11
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

fof(f1433,plain,
    ( spl10_24
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(avatar_split_clause,[],[f1408,f771,f483,f115,f496]) ).

fof(f496,plain,
    ( spl10_24
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).

fof(f1408,plain,
    ( identity = sk_c6
    | ~ spl10_12
    | ~ spl10_21
    | ~ spl10_26 ),
    inference(backward_demodulation,[],[f484,f1403]) ).

fof(f1426,plain,
    ( spl10_1
    | ~ spl10_12
    | ~ spl10_16
    | ~ spl10_26 ),
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1425,plain,
    ( $false
    | spl10_1
    | ~ spl10_12
    | ~ spl10_16
    | ~ spl10_26 ),
    inference(subsumption_resolution,[],[f1312,f1403]) ).

fof(f1312,plain,
    ( identity != sk_c7
    | spl10_1
    | ~ spl10_16 ),
    inference(backward_demodulation,[],[f68,f378]) ).

fof(f378,plain,
    ( identity = sF3
    | ~ spl10_16 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl10_16
  <=> identity = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).

fof(f68,plain,
    ( sk_c7 != sF3
    | spl10_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl10_1
  <=> sk_c7 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f1383,plain,
    ( ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_21
    | spl10_26 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_21
    | spl10_26 ),
    inference(subsumption_resolution,[],[f1381,f1218]) ).

fof(f1218,plain,
    ( identity != sk_c7
    | ~ spl10_12
    | spl10_26 ),
    inference(superposition,[],[f773,f117]) ).

fof(f773,plain,
    ( identity != sF6
    | spl10_26 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f1381,plain,
    ( identity = sk_c7
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f1362,f1378]) ).

fof(f1378,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1377,f1371]) ).

fof(f1371,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f1221,f1368]) ).

fof(f1221,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl10_5 ),
    inference(superposition,[],[f164,f1179]) ).

fof(f1377,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1343,f1368]) ).

fof(f1343,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl10_12
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f1274,f484]) ).

fof(f1274,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl10_12 ),
    inference(superposition,[],[f3,f1258]) ).

fof(f1258,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f40,f117]) ).

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

fof(f1362,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(forward_demodulation,[],[f1332,f1346]) ).

fof(f1332,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl10_6
    | ~ spl10_21 ),
    inference(backward_demodulation,[],[f436,f484]) ).

fof(f436,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f42,f93]) ).

fof(f1321,plain,
    ( spl10_21
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13 ),
    inference(avatar_split_clause,[],[f1320,f120,f96,f71,f483]) ).

fof(f71,plain,
    ( spl10_2
  <=> sk_c6 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f120,plain,
    ( spl10_13
  <=> sk_c6 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f1320,plain,
    ( sk_c7 = sk_c6
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f1318,f1259]) ).

fof(f1318,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(superposition,[],[f164,f1271]) ).

fof(f1271,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f1269,f145]) ).

fof(f145,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f47,f122]) ).

fof(f122,plain,
    ( sk_c6 = sF9
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f47,plain,
    inverse(sk_c4) = sF9,
    introduced(function_definition,[]) ).

fof(f1269,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl10_2 ),
    inference(superposition,[],[f164,f1256]) ).

fof(f1256,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl10_2 ),
    inference(forward_demodulation,[],[f30,f73]) ).

fof(f73,plain,
    ( sk_c6 = sF0
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f30,plain,
    multiply(sk_c4,sk_c5) = sF0,
    introduced(function_definition,[]) ).

fof(f1307,plain,
    ( spl10_16
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f1304,f81,f377]) ).

fof(f81,plain,
    ( spl10_4
  <=> sk_c5 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f1304,plain,
    ( identity = sF3
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f1302,f2]) ).

fof(f1302,plain,
    ( sF3 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl10_4 ),
    inference(superposition,[],[f164,f410]) ).

fof(f410,plain,
    ( sk_c5 = multiply(sk_c5,sF3)
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f197,f83]) ).

fof(f83,plain,
    ( sk_c5 = sF8
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f197,plain,
    sk_c5 = multiply(sF8,sF3),
    inference(forward_demodulation,[],[f192,f44]) ).

fof(f44,plain,
    inverse(sk_c2) = sF8,
    introduced(function_definition,[]) ).

fof(f192,plain,
    sk_c5 = multiply(inverse(sk_c2),sF3),
    inference(superposition,[],[f164,f35]) ).

fof(f35,plain,
    multiply(sk_c2,sk_c5) = sF3,
    introduced(function_definition,[]) ).

fof(f1301,plain,
    ( ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | ~ spl10_5
    | ~ spl10_10
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f1298,f1179]) ).

fof(f1298,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl10_10
    | ~ spl10_12 ),
    inference(trivial_inequality_removal,[],[f1297]) ).

fof(f1297,plain,
    ( sk_c7 != inverse(sk_c3)
    | sk_c7 != sk_c7
    | ~ spl10_10
    | ~ spl10_12 ),
    inference(superposition,[],[f109,f1258]) ).

fof(f109,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl10_10
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f1244,plain,
    ( spl10_1
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13
    | ~ spl10_16
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f1243]) ).

fof(f1243,plain,
    ( $false
    | spl10_1
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13
    | ~ spl10_16
    | ~ spl10_24 ),
    inference(subsumption_resolution,[],[f1233,f1214]) ).

fof(f1214,plain,
    ( identity != sk_c7
    | spl10_1
    | ~ spl10_16 ),
    inference(forward_demodulation,[],[f68,f378]) ).

fof(f1233,plain,
    ( identity = sk_c7
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(superposition,[],[f1063,f1]) ).

fof(f1063,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(backward_demodulation,[],[f973,f1056]) ).

fof(f1056,plain,
    ( sk_c7 = sk_c5
    | ~ spl10_7
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f1055,f1]) ).

fof(f1055,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl10_7
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f1054,f497]) ).

fof(f497,plain,
    ( identity = sk_c6
    | ~ spl10_24 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f1054,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f38,f98]) ).

fof(f973,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl10_2
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f955,f625]) ).

fof(f625,plain,
    ( identity = sk_c4
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f616,f2]) ).

fof(f616,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(backward_demodulation,[],[f189,f497]) ).

fof(f189,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl10_13 ),
    inference(superposition,[],[f164,f151]) ).

fof(f151,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl10_13 ),
    inference(superposition,[],[f2,f145]) ).

fof(f955,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl10_2
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f30,f954]) ).

fof(f954,plain,
    ( identity = sF0
    | ~ spl10_2
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f73,f497]) ).

fof(f793,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_17
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f792]) ).

fof(f792,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_17
    | ~ spl10_24 ),
    inference(subsumption_resolution,[],[f791,f744]) ).

fof(f744,plain,
    ( identity = inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_17 ),
    inference(forward_demodulation,[],[f386,f717]) ).

fof(f717,plain,
    ( identity = sk_c1
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f712,f2]) ).

fof(f712,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f193,f711]) ).

fof(f711,plain,
    ( identity = sF1
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f78,f509]) ).

fof(f509,plain,
    ( identity = sk_c7
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f507,f2]) ).

fof(f507,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(superposition,[],[f164,f427]) ).

fof(f427,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f410,f69]) ).

fof(f69,plain,
    ( sk_c7 = sF3
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f78,plain,
    ( sk_c7 = sF1
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl10_3
  <=> sk_c7 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f193,plain,
    sk_c1 = multiply(inverse(sF1),identity),
    inference(superposition,[],[f164,f149]) ).

fof(f149,plain,
    identity = multiply(sF1,sk_c1),
    inference(superposition,[],[f2,f31]) ).

fof(f31,plain,
    inverse(sk_c1) = sF1,
    introduced(function_definition,[]) ).

fof(f386,plain,
    ( identity = inverse(sk_c1)
    | ~ spl10_17 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl10_17
  <=> identity = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).

fof(f791,plain,
    ( identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_17
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f787,f744]) ).

fof(f787,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_24 ),
    inference(trivial_inequality_removal,[],[f785]) ).

fof(f785,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_24 ),
    inference(superposition,[],[f782,f2]) ).

fof(f782,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f781,f619]) ).

fof(f619,plain,
    ( identity = sk_c5
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_24 ),
    inference(backward_demodulation,[],[f549,f497]) ).

fof(f549,plain,
    ( sk_c6 = sk_c5
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(forward_demodulation,[],[f532,f180]) ).

fof(f180,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f164,f1]) ).

fof(f532,plain,
    ( sk_c5 = multiply(inverse(identity),sk_c6)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f435,f509]) ).

fof(f781,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | sk_c5 != inverse(X4) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f780,f509]) ).

fof(f780,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | sk_c5 != inverse(X4) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f103,f619]) ).

fof(f103,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c5)
        | sk_c5 != inverse(X4) )
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl10_8
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c5)
        | sk_c5 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f779,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_17
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f778]) ).

fof(f778,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_17
    | ~ spl10_24 ),
    inference(subsumption_resolution,[],[f764,f744]) ).

fof(f764,plain,
    ( identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_24 ),
    inference(trivial_inequality_removal,[],[f760]) ).

fof(f760,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_24 ),
    inference(superposition,[],[f752,f1]) ).

fof(f752,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f751,f509]) ).

fof(f751,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_10
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f750,f497]) ).

fof(f750,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_10 ),
    inference(forward_demodulation,[],[f109,f509]) ).

fof(f716,plain,
    ( spl10_17
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f713,f81,f76,f67,f385]) ).

fof(f713,plain,
    ( identity = inverse(sk_c1)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f31,f711]) ).

fof(f673,plain,
    ( ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f672]) ).

fof(f672,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(subsumption_resolution,[],[f671,f640]) ).

fof(f640,plain,
    ( identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(trivial_inequality_removal,[],[f637]) ).

fof(f637,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(superposition,[],[f633,f1]) ).

fof(f633,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f624,f497]) ).

fof(f624,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(backward_demodulation,[],[f609,f497]) ).

fof(f609,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f112,f549]) ).

fof(f671,plain,
    ( identity = inverse(identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(backward_demodulation,[],[f649,f668]) ).

fof(f668,plain,
    ( identity = sk_c3
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f667,f2]) ).

fof(f667,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f186,f509]) ).

fof(f186,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl10_5 ),
    inference(superposition,[],[f164,f150]) ).

fof(f150,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl10_5 ),
    inference(superposition,[],[f2,f146]) ).

fof(f146,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl10_5 ),
    inference(backward_demodulation,[],[f36,f87]) ).

fof(f649,plain,
    ( identity = inverse(sk_c3)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f146,f509]) ).

fof(f665,plain,
    ( ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f664]) ).

fof(f664,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(subsumption_resolution,[],[f629,f640]) ).

fof(f629,plain,
    ( identity = inverse(identity)
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(forward_demodulation,[],[f614,f625]) ).

fof(f614,plain,
    ( identity = inverse(sk_c4)
    | ~ spl10_13
    | ~ spl10_24 ),
    inference(backward_demodulation,[],[f145,f497]) ).

fof(f646,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f645]) ).

fof(f645,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_11
    | ~ spl10_24 ),
    inference(subsumption_resolution,[],[f640,f599]) ).

fof(f599,plain,
    ( identity = inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f520,f539]) ).

fof(f539,plain,
    ( identity = sk_c1
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f517,f2]) ).

fof(f517,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f416,f509]) ).

fof(f416,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f193,f78]) ).

fof(f520,plain,
    ( identity = inverse(sk_c1)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f419,f509]) ).

fof(f419,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f31,f78]) ).

fof(f582,plain,
    ( spl10_24
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13 ),
    inference(avatar_split_clause,[],[f581,f120,f91,f81,f71,f67,f496]) ).

fof(f581,plain,
    ( identity = sk_c6
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f562,f578]) ).

fof(f578,plain,
    ( ! [X12] : multiply(sk_c6,X12) = X12
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f553,f577]) ).

fof(f577,plain,
    ( ! [X13] : multiply(sk_c4,multiply(sk_c6,X13)) = X13
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f563,f569]) ).

fof(f569,plain,
    ( sk_c4 = sk_c2
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f557,f189]) ).

fof(f557,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f411,f549]) ).

fof(f411,plain,
    ( sk_c2 = multiply(inverse(sk_c5),identity)
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f194,f83]) ).

fof(f194,plain,
    sk_c2 = multiply(inverse(sF8),identity),
    inference(superposition,[],[f164,f152]) ).

fof(f152,plain,
    identity = multiply(sF8,sk_c2),
    inference(superposition,[],[f2,f44]) ).

fof(f563,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c6,X13)) = X13
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f538,f549]) ).

fof(f538,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c5,X13)) = X13
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(forward_demodulation,[],[f526,f1]) ).

fof(f526,plain,
    ( ! [X13] : multiply(identity,X13) = multiply(sk_c2,multiply(sk_c5,X13))
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f428,f509]) ).

fof(f428,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c5,X13)) = multiply(sk_c7,X13)
    | ~ spl10_1 ),
    inference(backward_demodulation,[],[f161,f69]) ).

fof(f161,plain,
    ! [X13] : multiply(sk_c2,multiply(sk_c5,X13)) = multiply(sF3,X13),
    inference(superposition,[],[f3,f35]) ).

fof(f553,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c6,X12)) = multiply(sk_c6,X12)
    | ~ spl10_1
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f160,f549]) ).

fof(f160,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c5,X12)) = multiply(sk_c6,X12)
    | ~ spl10_2 ),
    inference(superposition,[],[f3,f144]) ).

fof(f144,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f30,f73]) ).

fof(f562,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f525,f549]) ).

fof(f525,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f427,f509]) ).

fof(f575,plain,
    ( ~ spl10_19
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | spl10_7 ),
    inference(avatar_split_clause,[],[f551,f96,f91,f81,f67,f474]) ).

fof(f474,plain,
    ( spl10_19
  <=> sk_c6 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).

fof(f551,plain,
    ( sk_c6 != sF5
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | spl10_7 ),
    inference(backward_demodulation,[],[f97,f549]) ).

fof(f97,plain,
    ( sk_c5 != sF5
    | spl10_7 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f566,plain,
    ( spl10_19
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(avatar_split_clause,[],[f565,f91,f81,f67,f474]) ).

fof(f565,plain,
    ( sk_c6 = sF5
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f510,f562]) ).

fof(f510,plain,
    ( sF5 = multiply(sk_c6,identity)
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f38,f509]) ).

fof(f547,plain,
    ( spl10_24
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_14 ),
    inference(avatar_split_clause,[],[f546,f126,f81,f76,f67,f496]) ).

fof(f126,plain,
    ( spl10_14
  <=> sk_c6 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

fof(f546,plain,
    ( identity = sk_c6
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f543,f1]) ).

fof(f543,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_4
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f529,f539]) ).

fof(f529,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f432,f509]) ).

fof(f432,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl10_14 ),
    inference(backward_demodulation,[],[f33,f128]) ).

fof(f128,plain,
    ( sk_c6 = sF2
    | ~ spl10_14 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f33,plain,
    multiply(sk_c1,sk_c7) = sF2,
    introduced(function_definition,[]) ).

fof(f501,plain,
    ( ~ spl10_3
    | ~ spl10_9
    | ~ spl10_14 ),
    inference(avatar_contradiction_clause,[],[f500]) ).

fof(f500,plain,
    ( $false
    | ~ spl10_3
    | ~ spl10_9
    | ~ spl10_14 ),
    inference(subsumption_resolution,[],[f472,f419]) ).

fof(f472,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl10_9
    | ~ spl10_14 ),
    inference(trivial_inequality_removal,[],[f470]) ).

fof(f470,plain,
    ( sk_c7 != inverse(sk_c1)
    | sk_c6 != sk_c6
    | ~ spl10_9
    | ~ spl10_14 ),
    inference(superposition,[],[f106,f432]) ).

fof(f106,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl10_9
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f407,plain,
    ( ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f405,f305]) ).

fof(f305,plain,
    ( identity = inverse(identity)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f279,f302]) ).

fof(f302,plain,
    ( identity = sk_c3
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f283,f2]) ).

fof(f283,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f186,f275]) ).

fof(f275,plain,
    ( identity = sk_c7
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f274,f2]) ).

fof(f274,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f266,f271]) ).

fof(f271,plain,
    ( sk_c7 = sF7
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f262,f241]) ).

fof(f241,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f173,f228]) ).

fof(f228,plain,
    ( sk_c7 = sk_c6
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f225,f188]) ).

fof(f188,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl10_7 ),
    inference(superposition,[],[f164,f148]) ).

fof(f148,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl10_7 ),
    inference(backward_demodulation,[],[f38,f98]) ).

fof(f225,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(superposition,[],[f164,f198]) ).

fof(f198,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl10_2
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f191,f145]) ).

fof(f191,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl10_2 ),
    inference(superposition,[],[f164,f144]) ).

fof(f173,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl10_5
    | ~ spl10_12 ),
    inference(superposition,[],[f166,f147]) ).

fof(f147,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl10_12 ),
    inference(backward_demodulation,[],[f40,f117]) ).

fof(f166,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f165,f1]) ).

fof(f165,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl10_5 ),
    inference(superposition,[],[f3,f150]) ).

fof(f262,plain,
    ( multiply(sk_c7,sk_c7) = sF7
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f42,f260]) ).

fof(f260,plain,
    ( sk_c7 = sk_c5
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f244,f241]) ).

fof(f244,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl10_2
    | ~ spl10_7
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f198,f228]) ).

fof(f266,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sF7)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f185,f260]) ).

fof(f279,plain,
    ( identity = inverse(sk_c3)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f146,f275]) ).

fof(f405,plain,
    ( identity != inverse(identity)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f401,f305]) ).

fof(f401,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f398]) ).

fof(f398,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(superposition,[],[f395,f2]) ).

fof(f395,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f394,f286]) ).

fof(f286,plain,
    ( identity = sk_c6
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f228,f275]) ).

fof(f394,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c6 != multiply(X3,identity) )
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f393,f275]) ).

fof(f393,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | identity != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f106,f275]) ).

fof(f383,plain,
    ( ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f382]) ).

fof(f382,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f381,f305]) ).

fof(f381,plain,
    ( identity != inverse(identity)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f368,f305]) ).

fof(f368,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f365]) ).

fof(f365,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(superposition,[],[f350,f2]) ).

fof(f350,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f349,f290]) ).

fof(f290,plain,
    ( identity = sk_c5
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f260,f275]) ).

fof(f349,plain,
    ( ! [X4] :
        ( sk_c5 != inverse(X4)
        | identity != multiply(X4,identity) )
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f348,f275]) ).

fof(f348,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | sk_c5 != inverse(X4) )
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_8
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f103,f290]) ).

fof(f338,plain,
    ( ~ spl10_2
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f337]) ).

fof(f337,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f336,f275]) ).

fof(f336,plain,
    ( identity != sk_c7
    | ~ spl10_2
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f230,f295]) ).

fof(f295,plain,
    ( identity = sF7
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_12
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f271,f275]) ).

fof(f230,plain,
    ( sk_c7 != sF7
    | ~ spl10_2
    | spl10_6
    | ~ spl10_7
    | ~ spl10_13 ),
    inference(backward_demodulation,[],[f92,f228]) ).

fof(f92,plain,
    ( sk_c6 != sF7
    | spl10_6 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f143,plain,
    ( spl10_1
    | spl10_7 ),
    inference(avatar_split_clause,[],[f56,f96,f67]) ).

fof(f56,plain,
    ( sk_c5 = sF5
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f19,f35,f38]) ).

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

fof(f142,plain,
    ( spl10_2
    | spl10_14 ),
    inference(avatar_split_clause,[],[f34,f126,f71]) ).

fof(f34,plain,
    ( sk_c6 = sF2
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f8,f33,f30]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f141,plain,
    ( spl10_1
    | spl10_12 ),
    inference(avatar_split_clause,[],[f54,f115,f67]) ).

fof(f54,plain,
    ( sk_c7 = sF6
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f21,f35,f40]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f140,plain,
    ( spl10_13
    | spl10_6 ),
    inference(avatar_split_clause,[],[f59,f91,f120]) ).

fof(f59,plain,
    ( sk_c6 = sF7
    | sk_c6 = sF9 ),
    inference(definition_folding,[],[f17,f42,f47]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f139,plain,
    ( spl10_4
    | spl10_13 ),
    inference(avatar_split_clause,[],[f48,f120,f81]) ).

fof(f48,plain,
    ( sk_c6 = sF9
    | sk_c5 = sF8 ),
    inference(definition_folding,[],[f27,f47,f44]) ).

fof(f27,axiom,
    ( sk_c5 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f138,plain,
    ( spl10_4
    | spl10_7 ),
    inference(avatar_split_clause,[],[f57,f96,f81]) ).

fof(f57,plain,
    ( sk_c5 = sF5
    | sk_c5 = sF8 ),
    inference(definition_folding,[],[f24,f38,f44]) ).

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

fof(f137,plain,
    ( spl10_14
    | spl10_13 ),
    inference(avatar_split_clause,[],[f52,f120,f126]) ).

fof(f52,plain,
    ( sk_c6 = sF9
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f7,f47,f33]) ).

fof(f7,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f136,plain,
    ( spl10_14
    | spl10_12 ),
    inference(avatar_split_clause,[],[f41,f115,f126]) ).

fof(f41,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f6,f33,f40]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f135,plain,
    ( spl10_7
    | spl10_14 ),
    inference(avatar_split_clause,[],[f39,f126,f96]) ).

fof(f39,plain,
    ( sk_c6 = sF2
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f4,f38,f33]) ).

fof(f4,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f134,plain,
    ( spl10_3
    | spl10_5 ),
    inference(avatar_split_clause,[],[f50,f85,f76]) ).

fof(f50,plain,
    ( sk_c7 = sF4
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f10,f36,f31]) ).

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

fof(f133,plain,
    ( spl10_2
    | spl10_4 ),
    inference(avatar_split_clause,[],[f45,f81,f71]) ).

fof(f45,plain,
    ( sk_c5 = sF8
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f28,f30,f44]) ).

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

fof(f132,plain,
    ( spl10_7
    | spl10_6 ),
    inference(avatar_split_clause,[],[f53,f91,f96]) ).

fof(f53,plain,
    ( sk_c6 = sF7
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f14,f38,f42]) ).

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

fof(f131,plain,
    ( spl10_13
    | spl10_1 ),
    inference(avatar_split_clause,[],[f51,f67,f120]) ).

fof(f51,plain,
    ( sk_c7 = sF3
    | sk_c6 = sF9 ),
    inference(definition_folding,[],[f22,f35,f47]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f130,plain,
    ( spl10_3
    | spl10_12 ),
    inference(avatar_split_clause,[],[f58,f115,f76]) ).

fof(f58,plain,
    ( sk_c7 = sF6
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f11,f40,f31]) ).

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

fof(f129,plain,
    ( spl10_14
    | spl10_5 ),
    inference(avatar_split_clause,[],[f63,f85,f126]) ).

fof(f63,plain,
    ( sk_c7 = sF4
    | sk_c6 = sF2 ),
    inference(definition_folding,[],[f5,f33,f36]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f124,plain,
    ( spl10_4
    | spl10_12 ),
    inference(avatar_split_clause,[],[f49,f115,f81]) ).

fof(f49,plain,
    ( sk_c7 = sF6
    | sk_c5 = sF8 ),
    inference(definition_folding,[],[f26,f44,f40]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f123,plain,
    ( spl10_13
    | spl10_3 ),
    inference(avatar_split_clause,[],[f64,f76,f120]) ).

fof(f64,plain,
    ( sk_c7 = sF1
    | sk_c6 = sF9 ),
    inference(definition_folding,[],[f12,f47,f31]) ).

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

fof(f118,plain,
    ( spl10_12
    | spl10_6 ),
    inference(avatar_split_clause,[],[f65,f91,f115]) ).

fof(f65,plain,
    ( sk_c6 = sF7
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f16,f40,f42]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f113,plain,
    ( ~ spl10_7
    | ~ spl10_6
    | spl10_8
    | spl10_9
    | spl10_10
    | spl10_11 ),
    inference(avatar_split_clause,[],[f46,f111,f108,f105,f102,f91,f96]) ).

fof(f46,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c7 != multiply(X4,sk_c5)
      | sk_c6 != sF7
      | sk_c6 != inverse(X6)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c5 != inverse(X4)
      | sk_c7 != inverse(X5)
      | sk_c5 != sF5 ),
    inference(definition_folding,[],[f29,f42,f38]) ).

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

fof(f100,plain,
    ( spl10_5
    | spl10_6 ),
    inference(avatar_split_clause,[],[f43,f91,f85]) ).

fof(f43,plain,
    ( sk_c6 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f15,f42,f36]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f99,plain,
    ( spl10_3
    | spl10_7 ),
    inference(avatar_split_clause,[],[f55,f96,f76]) ).

fof(f55,plain,
    ( sk_c5 = sF5
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f9,f31,f38]) ).

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

fof(f94,plain,
    ( spl10_6
    | spl10_2 ),
    inference(avatar_split_clause,[],[f61,f71,f91]) ).

fof(f61,plain,
    ( sk_c6 = sF0
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f18,f42,f30]) ).

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

fof(f89,plain,
    ( spl10_5
    | spl10_1 ),
    inference(avatar_split_clause,[],[f37,f67,f85]) ).

fof(f37,plain,
    ( sk_c7 = sF3
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f20,f36,f35]) ).

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

fof(f88,plain,
    ( spl10_4
    | spl10_5 ),
    inference(avatar_split_clause,[],[f60,f85,f81]) ).

fof(f60,plain,
    ( sk_c7 = sF4
    | sk_c5 = sF8 ),
    inference(definition_folding,[],[f25,f36,f44]) ).

fof(f25,axiom,
    ( sk_c5 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f79,plain,
    ( spl10_2
    | spl10_3 ),
    inference(avatar_split_clause,[],[f32,f76,f71]) ).

fof(f32,plain,
    ( sk_c7 = sF1
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f13,f31,f30]) ).

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

fof(f74,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f62,f71,f67]) ).

fof(f62,plain,
    ( sk_c6 = sF0
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f23,f35,f30]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP274-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % 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 22:24:07 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  ipcrm: permission denied for id (688193536)
% 0.14/0.36  ipcrm: permission denied for id (688226306)
% 0.20/0.37  ipcrm: permission denied for id (688291848)
% 0.20/0.38  ipcrm: permission denied for id (688324624)
% 0.20/0.39  ipcrm: permission denied for id (688455707)
% 0.20/0.41  ipcrm: permission denied for id (688521254)
% 0.20/0.43  ipcrm: permission denied for id (688652346)
% 0.20/0.45  ipcrm: permission denied for id (688717894)
% 0.20/0.47  ipcrm: permission denied for id (688783448)
% 0.20/0.47  ipcrm: permission denied for id (688848985)
% 0.20/0.48  ipcrm: permission denied for id (688881756)
% 0.20/0.48  ipcrm: permission denied for id (688914525)
% 0.20/0.50  ipcrm: permission denied for id (689111149)
% 0.20/0.51  ipcrm: permission denied for id (689176692)
% 0.20/0.51  ipcrm: permission denied for id (689242234)
% 0.20/0.52  ipcrm: permission denied for id (689275005)
% 0.20/0.52  ipcrm: permission denied for id (689307775)
% 1.06/0.65  % (6959)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 (2998ds/4Mi)
% 1.06/0.66  % (6959)Instruction limit reached!
% 1.06/0.66  % (6959)------------------------------
% 1.06/0.66  % (6959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.06/0.66  % (6959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.06/0.66  % (6959)Termination reason: Unknown
% 1.06/0.66  % (6959)Termination phase: Saturation
% 1.06/0.66  
% 1.06/0.66  % (6959)Memory used [KB]: 5884
% 1.06/0.66  % (6959)Time elapsed: 0.004 s
% 1.06/0.66  % (6959)Instructions burned: 4 (million)
% 1.06/0.66  % (6959)------------------------------
% 1.06/0.66  % (6959)------------------------------
% 1.06/0.66  % (6987)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.06/0.67  % (6962)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 (2998ds/34Mi)
% 1.33/0.67  % (6968)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 (2998ds/6Mi)
% 1.33/0.67  % (6987)Refutation not found, incomplete strategy% (6987)------------------------------
% 1.33/0.67  % (6987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.67  % (6987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.67  % (6987)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.67  
% 1.33/0.67  % (6987)Memory used [KB]: 5884
% 1.33/0.67  % (6987)Time elapsed: 0.115 s
% 1.33/0.67  % (6987)Instructions burned: 4 (million)
% 1.33/0.67  % (6987)------------------------------
% 1.33/0.67  % (6987)------------------------------
% 1.33/0.67  % (6962)Refutation not found, incomplete strategy% (6962)------------------------------
% 1.33/0.67  % (6962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.68  % (6968)Instruction limit reached!
% 1.33/0.68  % (6968)------------------------------
% 1.33/0.68  % (6968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.68  % (6970)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 (2998ds/5Mi)
% 1.33/0.68  % (6962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.68  % (6962)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.68  
% 1.33/0.68  % (6962)Memory used [KB]: 5884
% 1.33/0.68  % (6962)Time elapsed: 0.096 s
% 1.33/0.68  % (6962)Instructions burned: 4 (million)
% 1.33/0.68  % (6962)------------------------------
% 1.33/0.68  % (6962)------------------------------
% 1.33/0.68  % (6978)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 (2998ds/6Mi)
% 1.33/0.68  % (6980)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 (2998ds/97Mi)
% 1.33/0.69  % (6968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.69  % (6968)Termination reason: Unknown
% 1.33/0.69  % (6968)Termination phase: Saturation
% 1.33/0.69  
% 1.33/0.69  % (6968)Memory used [KB]: 6012
% 1.33/0.69  % (6968)Time elapsed: 0.118 s
% 1.33/0.69  % (6968)Instructions burned: 7 (million)
% 1.33/0.69  % (6968)------------------------------
% 1.33/0.69  % (6968)------------------------------
% 1.33/0.69  % (6978)Instruction limit reached!
% 1.33/0.69  % (6978)------------------------------
% 1.33/0.69  % (6978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.69  % (6978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.69  % (6978)Termination reason: Unknown
% 1.33/0.69  % (6978)Termination phase: Saturation
% 1.33/0.69  
% 1.33/0.69  % (6978)Memory used [KB]: 1407
% 1.33/0.69  % (6978)Time elapsed: 0.132 s
% 1.33/0.69  % (6978)Instructions burned: 7 (million)
% 1.33/0.69  % (6978)------------------------------
% 1.33/0.69  % (6978)------------------------------
% 1.33/0.69  % (6970)Instruction limit reached!
% 1.33/0.69  % (6970)------------------------------
% 1.33/0.69  % (6970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.69  % (6970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.69  % (6970)Termination reason: Unknown
% 1.33/0.69  % (6970)Termination phase: Saturation
% 1.33/0.69  
% 1.33/0.69  % (6970)Memory used [KB]: 5884
% 1.33/0.69  % (6970)Time elapsed: 0.117 s
% 1.33/0.69  % (6970)Instructions burned: 5 (million)
% 1.33/0.69  % (6970)------------------------------
% 1.33/0.69  % (6970)------------------------------
% 1.33/0.69  % (6957)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99966Mi)
% 1.33/0.69  % (6981)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 (2998ds/37Mi)
% 1.33/0.70  % (6958)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 (2998ds/42Mi)
% 1.33/0.70  % (6960)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 (2998ds/43Mi)
% 1.33/0.70  % (6966)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 (2998ds/3Mi)
% 1.33/0.70  % (6960)Refutation not found, incomplete strategy% (6960)------------------------------
% 1.33/0.70  % (6960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.70  % (6960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.70  % (6960)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.70  
% 1.33/0.70  % (6960)Memory used [KB]: 5884
% 1.33/0.70  % (6960)Time elapsed: 0.125 s
% 1.33/0.70  % (6960)Instructions burned: 3 (million)
% 1.33/0.70  % (6960)------------------------------
% 1.33/0.70  % (6960)------------------------------
% 1.33/0.70  % (6966)Instruction limit reached!
% 1.33/0.70  % (6966)------------------------------
% 1.33/0.70  % (6966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.70  % (6966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.70  % (6966)Termination reason: Unknown
% 1.33/0.70  % (6966)Termination phase: Saturation
% 1.33/0.70  
% 1.33/0.70  % (6966)Memory used [KB]: 5884
% 1.33/0.70  % (6966)Time elapsed: 0.004 s
% 1.33/0.70  % (6966)Instructions burned: 3 (million)
% 1.33/0.70  % (6966)------------------------------
% 1.33/0.70  % (6966)------------------------------
% 1.33/0.70  % (6973)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.33/0.70  % (6973)Instruction limit reached!
% 1.33/0.70  % (6973)------------------------------
% 1.33/0.70  % (6973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.70  % (6983)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 (2998ds/46Mi)
% 1.33/0.70  % (6981)Refutation not found, incomplete strategy% (6981)------------------------------
% 1.33/0.70  % (6981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.70  % (6981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.70  % (6981)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.70  
% 1.33/0.70  % (6981)Memory used [KB]: 5884
% 1.33/0.70  % (6981)Time elapsed: 0.092 s
% 1.33/0.70  % (6981)Instructions burned: 2 (million)
% 1.33/0.70  % (6981)------------------------------
% 1.33/0.70  % (6981)------------------------------
% 1.33/0.70  % (6984)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 (2998ds/81Mi)
% 1.33/0.70  % (6965)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 (2998ds/51Mi)
% 1.33/0.70  % (6988)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 (2998ds/100Mi)
% 1.33/0.70  % (6973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.70  % (6973)Termination reason: Unknown
% 1.33/0.70  % (6973)Termination phase: Finite model building preprocessing
% 1.33/0.70  
% 1.33/0.70  % (6973)Memory used [KB]: 6012
% 1.33/0.70  % (6973)Time elapsed: 0.005 s
% 1.33/0.70  % (6973)Instructions burned: 6 (million)
% 1.33/0.70  % (6973)------------------------------
% 1.33/0.70  % (6973)------------------------------
% 1.33/0.71  % (6963)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.33/0.71  % (6964)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 (2998ds/49Mi)
% 1.33/0.71  % (6965)Refutation not found, incomplete strategy% (6965)------------------------------
% 1.33/0.71  % (6965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.71  % (6965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.71  % (6965)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.71  
% 1.33/0.71  % (6965)Memory used [KB]: 5884
% 1.33/0.71  % (6965)Time elapsed: 0.108 s
% 1.33/0.71  % (6965)Instructions burned: 3 (million)
% 1.33/0.71  % (6965)------------------------------
% 1.33/0.71  % (6965)------------------------------
% 1.33/0.71  % (6986)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 (2998ds/73Mi)
% 1.33/0.71  % (6969)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 (2998ds/23Mi)
% 1.33/0.71  % (6977)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 (2998ds/7Mi)
% 1.33/0.72  % (6974)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 (2998ds/2Mi)
% 1.33/0.72  % (6975)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.33/0.72  % (6977)Instruction limit reached!
% 1.33/0.72  % (6977)------------------------------
% 1.33/0.72  % (6977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.72  % (6977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.72  % (6977)Termination reason: Unknown
% 1.33/0.72  % (6977)Termination phase: Saturation
% 1.33/0.72  
% 1.33/0.72  % (6977)Memory used [KB]: 6012
% 1.33/0.72  % (6977)Time elapsed: 0.144 s
% 1.33/0.72  % (6977)Instructions burned: 8 (million)
% 1.33/0.72  % (6977)------------------------------
% 1.33/0.72  % (6977)------------------------------
% 1.33/0.72  % (6979)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 (2998ds/67Mi)
% 1.33/0.72  % (6974)Instruction limit reached!
% 1.33/0.72  % (6974)------------------------------
% 1.33/0.72  % (6974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.72  % (6974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.72  % (6974)Termination reason: Unknown
% 1.33/0.72  % (6974)Termination phase: Saturation
% 1.33/0.72  
% 1.33/0.72  % (6974)Memory used [KB]: 5884
% 1.33/0.72  % (6974)Time elapsed: 0.151 s
% 1.33/0.72  % (6974)Instructions burned: 3 (million)
% 1.33/0.72  % (6974)------------------------------
% 1.33/0.72  % (6974)------------------------------
% 1.33/0.72  % (6976)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 (2998ds/28Mi)
% 1.33/0.72  % (6979)Refutation not found, incomplete strategy% (6979)------------------------------
% 1.33/0.72  % (6979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.72  % (6979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.72  % (6979)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.72  
% 1.33/0.72  % (6979)Memory used [KB]: 5884
% 1.33/0.72  % (6979)Time elapsed: 0.142 s
% 1.33/0.72  % (6979)Instructions burned: 2 (million)
% 1.33/0.72  % (6979)------------------------------
% 1.33/0.72  % (6979)------------------------------
% 1.33/0.72  % (6971)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)
% 1.33/0.72  % (6967)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 (2998ds/51Mi)
% 1.33/0.72  % (6971)Instruction limit reached!
% 1.33/0.72  % (6971)------------------------------
% 1.33/0.72  % (6971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.72  % (6971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.72  % (6971)Termination reason: Unknown
% 1.33/0.72  % (6971)Termination phase: Saturation
% 1.33/0.72  
% 1.33/0.72  % (6971)Memory used [KB]: 5884
% 1.33/0.72  % (6971)Time elapsed: 0.003 s
% 1.33/0.72  % (6971)Instructions burned: 4 (million)
% 1.33/0.72  % (6971)------------------------------
% 1.33/0.72  % (6971)------------------------------
% 1.33/0.72  % (6972)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 (2998ds/29Mi)
% 1.33/0.73  % (6985)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 (2998ds/71Mi)
% 1.79/0.74  % (6986)Refutation not found, incomplete strategy% (6986)------------------------------
% 1.79/0.74  % (6986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.74  % (6986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.74  % (6986)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.74  
% 1.79/0.74  % (6986)Memory used [KB]: 1407
% 1.79/0.74  % (6986)Time elapsed: 0.155 s
% 1.79/0.74  % (6986)Instructions burned: 10 (million)
% 1.79/0.74  % (6986)------------------------------
% 1.79/0.74  % (6986)------------------------------
% 1.79/0.74  % (6969)Instruction limit reached!
% 1.79/0.74  % (6969)------------------------------
% 1.79/0.74  % (6969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.74  % (6969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.74  % (6969)Termination reason: Unknown
% 1.79/0.74  % (6969)Termination phase: Saturation
% 1.79/0.74  
% 1.79/0.74  % (6969)Memory used [KB]: 6268
% 1.79/0.74  % (6969)Time elapsed: 0.173 s
% 1.79/0.74  % (6969)Instructions burned: 24 (million)
% 1.79/0.74  % (6969)------------------------------
% 1.79/0.74  % (6969)------------------------------
% 1.79/0.74  % (6975)Instruction limit reached!
% 1.79/0.74  % (6975)------------------------------
% 1.79/0.74  % (6975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.74  % (6975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.74  % (6975)Termination reason: Unknown
% 1.79/0.74  % (6975)Termination phase: Saturation
% 1.79/0.74  
% 1.79/0.74  % (6975)Memory used [KB]: 6012
% 1.79/0.74  % (6975)Time elapsed: 0.155 s
% 1.79/0.74  % (6975)Instructions burned: 9 (million)
% 1.79/0.74  % (6975)------------------------------
% 1.79/0.74  % (6975)------------------------------
% 1.79/0.74  % (6963)Instruction limit reached!
% 1.79/0.74  % (6963)------------------------------
% 1.79/0.74  % (6963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.74  % (6963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.74  % (6963)Termination reason: Unknown
% 1.79/0.74  % (6963)Termination phase: Saturation
% 1.79/0.74  
% 1.79/0.74  % (6963)Memory used [KB]: 6140
% 1.79/0.74  % (6963)Time elapsed: 0.171 s
% 1.79/0.74  % (6963)Instructions burned: 26 (million)
% 1.79/0.74  % (6963)------------------------------
% 1.79/0.74  % (6963)------------------------------
% 1.79/0.74  % (6985)Refutation not found, incomplete strategy% (6985)------------------------------
% 1.79/0.74  % (6985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.74  % (6985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.74  % (6985)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.74  
% 1.79/0.74  % (6985)Memory used [KB]: 5884
% 1.79/0.74  % (6985)Time elapsed: 0.160 s
% 1.79/0.74  % (6985)Instructions burned: 4 (million)
% 1.79/0.74  % (6985)------------------------------
% 1.79/0.74  % (6985)------------------------------
% 1.93/0.77  % (6976)Instruction limit reached!
% 1.93/0.77  % (6976)------------------------------
% 1.93/0.77  % (6976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.77  % (6976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.77  % (6976)Termination reason: Unknown
% 1.93/0.77  % (6976)Termination phase: Saturation
% 1.93/0.77  
% 1.93/0.77  % (6976)Memory used [KB]: 10618
% 1.93/0.77  % (6976)Time elapsed: 0.187 s
% 1.93/0.77  % (6976)Instructions burned: 28 (million)
% 1.93/0.77  % (6976)------------------------------
% 1.93/0.77  % (6976)------------------------------
% 1.93/0.77  % (7033)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 (2996ds/3Mi)
% 1.93/0.77  % (6964)Instruction limit reached!
% 1.93/0.77  % (6964)------------------------------
% 1.93/0.77  % (6964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.77  % (6964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.77  % (6964)Termination reason: Unknown
% 1.93/0.77  % (6964)Termination phase: Saturation
% 1.93/0.77  
% 1.93/0.77  % (6964)Memory used [KB]: 1535
% 1.93/0.77  % (6964)Time elapsed: 0.183 s
% 1.93/0.77  % (6964)Instructions burned: 51 (million)
% 1.93/0.77  % (6964)------------------------------
% 1.93/0.77  % (6964)------------------------------
% 1.93/0.77  % (6972)Instruction limit reached!
% 1.93/0.77  % (6972)------------------------------
% 1.93/0.77  % (6972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.77  % (6972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.77  % (6972)Termination reason: Unknown
% 1.93/0.77  % (6972)Termination phase: Saturation
% 1.93/0.77  
% 1.93/0.77  % (6972)Memory used [KB]: 1663
% 1.93/0.77  % (6972)Time elapsed: 0.191 s
% 1.93/0.77  % (6972)Instructions burned: 30 (million)
% 1.93/0.77  % (6972)------------------------------
% 1.93/0.77  % (6972)------------------------------
% 1.93/0.78  % (6958)Instruction limit reached!
% 1.93/0.78  % (6958)------------------------------
% 1.93/0.78  % (6958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.78  % (6958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.78  % (6958)Termination reason: Unknown
% 1.93/0.78  % (6958)Termination phase: Saturation
% 1.93/0.78  
% 1.93/0.78  % (6958)Memory used [KB]: 1663
% 1.93/0.78  % (6958)Time elapsed: 0.178 s
% 1.93/0.78  % (6958)Instructions burned: 42 (million)
% 1.93/0.78  % (6958)------------------------------
% 1.93/0.78  % (6958)------------------------------
% 1.93/0.78  % (7023)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/14Mi)
% 1.93/0.79  % (6957)First to succeed.
% 1.93/0.79  % (6980)Instruction limit reached!
% 1.93/0.79  % (6980)------------------------------
% 1.93/0.79  % (6980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.79  % (6983)Instruction limit reached!
% 1.93/0.79  % (6983)------------------------------
% 1.93/0.79  % (6983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.79  % (6983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.79  % (6983)Termination reason: Unknown
% 1.93/0.79  % (6983)Termination phase: Saturation
% 1.93/0.79  
% 1.93/0.79  % (6983)Memory used [KB]: 6652
% 1.93/0.79  % (6983)Time elapsed: 0.207 s
% 1.93/0.79  % (6983)Instructions burned: 46 (million)
% 1.93/0.79  % (6983)------------------------------
% 1.93/0.79  % (6983)------------------------------
% 1.93/0.79  % (7033)Instruction limit reached!
% 1.93/0.79  % (7033)------------------------------
% 1.93/0.79  % (7033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.79  % (7033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.79  % (7033)Termination reason: Unknown
% 1.93/0.79  % (7033)Termination phase: Saturation
% 1.93/0.79  
% 1.93/0.79  % (7033)Memory used [KB]: 5884
% 1.93/0.79  % (7033)Time elapsed: 0.003 s
% 1.93/0.79  % (7033)Instructions burned: 3 (million)
% 1.93/0.79  % (7033)------------------------------
% 1.93/0.79  % (7033)------------------------------
% 1.93/0.79  % (6957)Refutation found. Thanks to Tanya!
% 1.93/0.79  % SZS status Unsatisfiable for theBenchmark
% 1.93/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.79  % (6957)------------------------------
% 1.93/0.79  % (6957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.79  % (6957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.79  % (6957)Termination reason: Refutation
% 1.93/0.79  
% 1.93/0.79  % (6957)Memory used [KB]: 6396
% 1.93/0.79  % (6957)Time elapsed: 0.205 s
% 1.93/0.79  % (6957)Instructions burned: 45 (million)
% 1.93/0.79  % (6957)------------------------------
% 1.93/0.79  % (6957)------------------------------
% 1.93/0.79  % (6728)Success in time 0.443 s
%------------------------------------------------------------------------------