TSTP Solution File: GRP387-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP387-1 : 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_sat --cores 0 -t %d %s

% Computer : n006.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 16:21:31 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  227 (   6 unt;   0 def)
%            Number of atoms       :  675 ( 245 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  840 ( 392   ~; 421   |;   0   &)
%                                         (  27 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  27 usr;  28 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f788,plain,
    $false,
    inference(avatar_sat_refutation,[],[f49,f58,f67,f76,f85,f86,f94,f95,f96,f97,f102,f103,f104,f105,f113,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f142,f209,f296,f305,f307,f343,f366,f384,f405,f527,f567,f569,f571,f621,f622,f642,f645,f748,f767,f787]) ).

fof(f787,plain,
    ( ~ spl3_3
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f786]) ).

fof(f786,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f775,f392]) ).

fof(f392,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f53,f155]) ).

fof(f155,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl3_20
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f53,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl3_3
  <=> inverse(sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f775,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_25 ),
    inference(trivial_inequality_removal,[],[f771]) ).

fof(f771,plain,
    ( sk_c7 != inverse(sk_c7)
    | sk_c7 != sk_c7
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_25 ),
    inference(superposition,[],[f413,f623]) ).

fof(f623,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f1,f565]) ).

fof(f565,plain,
    ( identity = sk_c7
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl3_25
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f413,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f412,f151]) ).

fof(f151,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl3_19
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f412,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7) )
    | ~ spl3_15
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f112,f151]) ).

fof(f112,plain,
    ( ! [X6] :
        ( sk_c5 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7) )
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl3_15
  <=> ! [X6] :
        ( sk_c5 != multiply(X6,sk_c7)
        | sk_c5 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f767,plain,
    ( ~ spl3_3
    | ~ spl3_18
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f766,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f755,f392]) ).

fof(f755,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl3_18
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(trivial_inequality_removal,[],[f751]) ).

fof(f751,plain,
    ( sk_c7 != inverse(sk_c7)
    | sk_c7 != sk_c7
    | ~ spl3_18
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(superposition,[],[f749,f623]) ).

fof(f749,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl3_18
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f141,f155]) ).

fof(f141,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl3_18
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f748,plain,
    ( ~ spl3_3
    | ~ spl3_12
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f747]) ).

fof(f747,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_12
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f746,f392]) ).

fof(f746,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl3_3
    | ~ spl3_12
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f736,f392]) ).

fof(f736,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | ~ spl3_12
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(trivial_inequality_removal,[],[f733]) ).

fof(f733,plain,
    ( sk_c7 != inverse(inverse(sk_c7))
    | sk_c7 != sk_c7
    | ~ spl3_12
    | ~ spl3_20
    | ~ spl3_25 ),
    inference(superposition,[],[f730,f681]) ).

fof(f681,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f2,f565]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f730,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl3_12
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f93,f155]) ).

fof(f93,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) )
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl3_12
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f645,plain,
    ( spl3_20
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f367,f172,f150,f154]) ).

fof(f172,plain,
    ( spl3_24
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f367,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_19
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f173,f151]) ).

fof(f173,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f642,plain,
    ( spl3_20
    | ~ spl3_1
    | ~ spl3_19
    | ~ spl3_25 ),
    inference(avatar_split_clause,[],[f625,f564,f150,f42,f154]) ).

fof(f42,plain,
    ( spl3_1
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f625,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_1
    | ~ spl3_19
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f576,f623]) ).

fof(f576,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl3_1
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f44,f151]) ).

fof(f44,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f622,plain,
    ( spl3_25
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f617,f150,f64,f51,f564]) ).

fof(f64,plain,
    ( spl3_6
  <=> sk_c7 = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f617,plain,
    ( identity = sk_c7
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f143,f410]) ).

fof(f410,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f66,f151]) ).

fof(f66,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f143,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl3_3 ),
    inference(superposition,[],[f2,f53]) ).

fof(f621,plain,
    ( spl3_25
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f620,f159,f150,f564]) ).

fof(f159,plain,
    ( spl3_21
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f620,plain,
    ( identity = sk_c7
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f160,f151]) ).

fof(f160,plain,
    ( identity = sk_c5
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f571,plain,
    ( ~ spl3_20
    | ~ spl3_19
    | spl3_24 ),
    inference(avatar_split_clause,[],[f570,f172,f150,f154]) ).

fof(f570,plain,
    ( sk_c7 != sk_c6
    | ~ spl3_19
    | spl3_24 ),
    inference(forward_demodulation,[],[f174,f151]) ).

fof(f174,plain,
    ( sk_c6 != sk_c5
    | spl3_24 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f569,plain,
    ( ~ spl3_20
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f568,f150,f115,f82,f73,f154]) ).

fof(f73,plain,
    ( spl3_8
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f82,plain,
    ( spl3_10
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f115,plain,
    ( spl3_16
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c5 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f568,plain,
    ( sk_c7 != sk_c6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(subsumption_resolution,[],[f148,f151]) ).

fof(f148,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != sk_c5
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f145,f84]) ).

fof(f84,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f145,plain,
    ( sk_c6 != inverse(sk_c1)
    | sk_c7 != sk_c5
    | ~ spl3_8
    | ~ spl3_16 ),
    inference(superposition,[],[f116,f75]) ).

fof(f75,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f116,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f567,plain,
    ( ~ spl3_22
    | ~ spl3_25
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f528,f150,f115,f564,f163]) ).

fof(f163,plain,
    ( spl3_22
  <=> sk_c6 = inverse(inverse(sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f528,plain,
    ( identity != sk_c7
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl3_16
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f147,f151]) ).

fof(f147,plain,
    ( identity != sk_c5
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl3_16 ),
    inference(superposition,[],[f116,f2]) ).

fof(f527,plain,
    ( ~ spl3_2
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_20
    | spl3_21 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_20
    | spl3_21 ),
    inference(subsumption_resolution,[],[f525,f372]) ).

fof(f372,plain,
    ( identity = sk_c7
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f271,f155]) ).

fof(f271,plain,
    ( identity = sk_c6
    | ~ spl3_2
    | ~ spl3_9 ),
    inference(superposition,[],[f247,f2]) ).

fof(f247,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl3_2
    | ~ spl3_9 ),
    inference(superposition,[],[f185,f222]) ).

fof(f222,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl3_2
    | ~ spl3_9 ),
    inference(superposition,[],[f217,f80]) ).

fof(f80,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl3_9
  <=> sk_c6 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f217,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f216,f1]) ).

fof(f216,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl3_2 ),
    inference(superposition,[],[f3,f210]) ).

fof(f210,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl3_2 ),
    inference(superposition,[],[f2,f48]) ).

fof(f48,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl3_2
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f185,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
    inference(forward_demodulation,[],[f177,f1]) ).

fof(f177,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
    inference(superposition,[],[f3,f2]) ).

fof(f525,plain,
    ( identity != sk_c7
    | ~ spl3_19
    | spl3_21 ),
    inference(forward_demodulation,[],[f161,f151]) ).

fof(f161,plain,
    ( identity != sk_c5
    | spl3_21 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f405,plain,
    ( ~ spl3_2
    | spl3_6
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f404]) ).

fof(f404,plain,
    ( $false
    | ~ spl3_2
    | spl3_6
    | ~ spl3_9
    | ~ spl3_19
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f394,f373]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f276,f155]) ).

fof(f276,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl3_2
    | ~ spl3_9 ),
    inference(backward_demodulation,[],[f1,f271]) ).

fof(f394,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | spl3_6
    | ~ spl3_19
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f393,f155]) ).

fof(f393,plain,
    ( sk_c7 != multiply(sk_c6,sk_c7)
    | spl3_6
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f65,f151]) ).

fof(f65,plain,
    ( sk_c7 != multiply(sk_c6,sk_c5)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f384,plain,
    ( ~ spl3_2
    | spl3_3
    | ~ spl3_9
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(avatar_contradiction_clause,[],[f383]) ).

fof(f383,plain,
    ( $false
    | ~ spl3_2
    | spl3_3
    | ~ spl3_9
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(subsumption_resolution,[],[f381,f377]) ).

fof(f377,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f337,f155]) ).

fof(f337,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13 ),
    inference(backward_demodulation,[],[f101,f328]) ).

fof(f328,plain,
    ( sk_c6 = sk_c3
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13 ),
    inference(superposition,[],[f280,f276]) ).

fof(f280,plain,
    ( sk_c6 = multiply(sk_c6,sk_c3)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13 ),
    inference(backward_demodulation,[],[f212,f271]) ).

fof(f212,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl3_13 ),
    inference(superposition,[],[f2,f101]) ).

fof(f101,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl3_13
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f381,plain,
    ( sk_c7 != inverse(sk_c7)
    | spl3_3
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f52,f155]) ).

fof(f52,plain,
    ( inverse(sk_c7) != sk_c6
    | spl3_3 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f366,plain,
    ( spl3_20
    | ~ spl3_2
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f357,f172,f78,f69,f60,f46,f154]) ).

fof(f60,plain,
    ( spl3_5
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f69,plain,
    ( spl3_7
  <=> sk_c5 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f357,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_2
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f355,f276]) ).

fof(f355,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl3_2
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f300,f348]) ).

fof(f348,plain,
    ( sk_c6 = sk_c4
    | ~ spl3_2
    | ~ spl3_5
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(superposition,[],[f320,f276]) ).

fof(f320,plain,
    ( sk_c6 = multiply(sk_c6,sk_c4)
    | ~ spl3_2
    | ~ spl3_5
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(superposition,[],[f277,f299]) ).

fof(f299,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl3_5
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f62,f173]) ).

fof(f62,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f277,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c6
    | ~ spl3_2
    | ~ spl3_9 ),
    inference(backward_demodulation,[],[f2,f271]) ).

fof(f300,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl3_7
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f71,f173]) ).

fof(f71,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f343,plain,
    ( ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13
    | spl3_22 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13
    | spl3_22 ),
    inference(subsumption_resolution,[],[f339,f337]) ).

fof(f339,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_13
    | spl3_22 ),
    inference(backward_demodulation,[],[f165,f337]) ).

fof(f165,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | spl3_22 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f307,plain,
    ( ~ spl3_20
    | spl3_1
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f306,f172,f78,f46,f42,f154]) ).

fof(f306,plain,
    ( sk_c7 != sk_c6
    | spl3_1
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f297,f222]) ).

fof(f297,plain,
    ( sk_c6 != multiply(sk_c7,sk_c6)
    | spl3_1
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f43,f173]) ).

fof(f43,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f305,plain,
    ( ~ spl3_20
    | spl3_19
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f304,f172,f150,f154]) ).

fof(f304,plain,
    ( sk_c7 != sk_c6
    | spl3_19
    | ~ spl3_24 ),
    inference(superposition,[],[f152,f173]) ).

fof(f152,plain,
    ( sk_c7 != sk_c5
    | spl3_19 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f296,plain,
    ( spl3_24
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_9
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f290,f99,f78,f55,f46,f172]) ).

fof(f55,plain,
    ( spl3_4
  <=> multiply(sk_c3,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f290,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_9
    | ~ spl3_13 ),
    inference(superposition,[],[f230,f276]) ).

fof(f230,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl3_4
    | ~ spl3_13 ),
    inference(superposition,[],[f221,f57]) ).

fof(f57,plain,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f221,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f220,f1]) ).

fof(f220,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl3_13 ),
    inference(superposition,[],[f3,f212]) ).

fof(f209,plain,
    ( ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10
    | spl3_19 ),
    inference(avatar_contradiction_clause,[],[f208]) ).

fof(f208,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10
    | spl3_19 ),
    inference(subsumption_resolution,[],[f205,f152]) ).

fof(f205,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(backward_demodulation,[],[f190,f203]) ).

fof(f203,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(superposition,[],[f186,f199]) ).

fof(f199,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(superposition,[],[f189,f75]) ).

fof(f189,plain,
    ( ! [X12] : multiply(sk_c7,multiply(sk_c1,X12)) = X12
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f183,f1]) ).

fof(f183,plain,
    ( ! [X12] : multiply(identity,X12) = multiply(sk_c7,multiply(sk_c1,X12))
    | ~ spl3_10 ),
    inference(superposition,[],[f3,f144]) ).

fof(f144,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl3_10 ),
    inference(superposition,[],[f2,f84]) ).

fof(f186,plain,
    ( ! [X8] : multiply(sk_c6,multiply(sk_c7,X8)) = X8
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f179,f1]) ).

fof(f179,plain,
    ( ! [X8] : multiply(identity,X8) = multiply(sk_c6,multiply(sk_c7,X8))
    | ~ spl3_3 ),
    inference(superposition,[],[f3,f143]) ).

fof(f190,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(superposition,[],[f186,f44]) ).

fof(f142,plain,
    ( spl3_17
    | spl3_18 ),
    inference(avatar_split_clause,[],[f35,f140,f118]) ).

fof(f118,plain,
    ( spl3_17
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f35,plain,
    ! [X3] :
      ( sk_c7 != inverse(X3)
      | sP0
      | sk_c7 != multiply(X3,sk_c6) ),
    inference(cnf_transformation,[],[f35_D]) ).

fof(f35_D,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f138,plain,
    ( spl3_8
    | spl3_5 ),
    inference(avatar_split_clause,[],[f32,f60,f73]) ).

fof(f32,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f137,plain,
    ( spl3_4
    | spl3_1 ),
    inference(avatar_split_clause,[],[f18,f42,f55]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f136,plain,
    ( spl3_2
    | spl3_8 ),
    inference(avatar_split_clause,[],[f29,f73,f46]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f135,plain,
    ( spl3_9
    | spl3_3 ),
    inference(avatar_split_clause,[],[f4,f51,f78]) ).

fof(f4,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f134,plain,
    ( spl3_13
    | spl3_3 ),
    inference(avatar_split_clause,[],[f7,f51,f99]) ).

fof(f7,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f133,plain,
    ( spl3_1
    | spl3_9 ),
    inference(avatar_split_clause,[],[f16,f78,f42]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f132,plain,
    ( spl3_13
    | spl3_10 ),
    inference(avatar_split_clause,[],[f25,f82,f99]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f131,plain,
    ( spl3_10
    | spl3_5 ),
    inference(avatar_split_clause,[],[f26,f60,f82]) ).

fof(f26,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f130,plain,
    ( spl3_6
    | spl3_4 ),
    inference(avatar_split_clause,[],[f12,f55,f64]) ).

fof(f12,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f129,plain,
    ( spl3_7
    | spl3_3 ),
    inference(avatar_split_clause,[],[f9,f51,f69]) ).

fof(f9,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f128,plain,
    ( spl3_4
    | spl3_8 ),
    inference(avatar_split_clause,[],[f30,f73,f55]) ).

fof(f30,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f127,plain,
    ( spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f5,f51,f46]) ).

fof(f5,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f126,plain,
    ( spl3_6
    | spl3_2 ),
    inference(avatar_split_clause,[],[f11,f46,f64]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f125,plain,
    ( spl3_5
    | spl3_1 ),
    inference(avatar_split_clause,[],[f20,f42,f60]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f124,plain,
    ( spl3_10
    | spl3_7 ),
    inference(avatar_split_clause,[],[f27,f69,f82]) ).

fof(f27,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f123,plain,
    ( spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f15,f69,f64]) ).

fof(f15,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f122,plain,
    ( spl3_8
    | spl3_13 ),
    inference(avatar_split_clause,[],[f31,f99,f73]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f121,plain,
    ( ~ spl3_14
    | ~ spl3_6
    | ~ spl3_3
    | ~ spl3_1
    | spl3_16
    | ~ spl3_11
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f40,f118,f88,f115,f42,f51,f64,f107]) ).

fof(f107,plain,
    ( spl3_14
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f88,plain,
    ( spl3_11
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f40,plain,
    ! [X5] :
      ( ~ sP0
      | ~ sP2
      | sk_c6 != inverse(X5)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | inverse(sk_c7) != sk_c6
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | ~ sP1 ),
    inference(general_splitting,[],[f38,f39_D]) ).

fof(f39,plain,
    ! [X4] :
      ( sk_c7 != inverse(X4)
      | sP2
      | sk_c6 != multiply(X4,sk_c7) ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f38,plain,
    ! [X4,X5] :
      ( sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != inverse(X5)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f36,f37_D]) ).

fof(f37,plain,
    ! [X6] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sP1
      | sk_c5 != inverse(X6) ),
    inference(cnf_transformation,[],[f37_D]) ).

fof(f37_D,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,sk_c7)
        | sk_c5 != inverse(X6) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f36,plain,
    ! [X6,X4,X5] :
      ( sk_c5 != inverse(X6)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != inverse(X5)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | sk_c5 != multiply(X6,sk_c7)
      | ~ sP0 ),
    inference(general_splitting,[],[f34,f35_D]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(X6)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != inverse(X5)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | sk_c5 != multiply(X6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f113,plain,
    ( spl3_14
    | spl3_15 ),
    inference(avatar_split_clause,[],[f37,f111,f107]) ).

fof(f105,plain,
    ( spl3_13
    | spl3_1 ),
    inference(avatar_split_clause,[],[f19,f42,f99]) ).

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f104,plain,
    ( spl3_7
    | spl3_1 ),
    inference(avatar_split_clause,[],[f21,f42,f69]) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f103,plain,
    ( spl3_9
    | spl3_6 ),
    inference(avatar_split_clause,[],[f10,f64,f78]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f102,plain,
    ( spl3_13
    | spl3_6 ),
    inference(avatar_split_clause,[],[f13,f64,f99]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f97,plain,
    ( spl3_2
    | spl3_10 ),
    inference(avatar_split_clause,[],[f23,f82,f46]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f96,plain,
    ( spl3_9
    | spl3_8 ),
    inference(avatar_split_clause,[],[f28,f73,f78]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f95,plain,
    ( spl3_10
    | spl3_4 ),
    inference(avatar_split_clause,[],[f24,f55,f82]) ).

fof(f24,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f94,plain,
    ( spl3_11
    | spl3_12 ),
    inference(avatar_split_clause,[],[f39,f92,f88]) ).

fof(f86,plain,
    ( spl3_5
    | spl3_3 ),
    inference(avatar_split_clause,[],[f8,f51,f60]) ).

fof(f8,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f85,plain,
    ( spl3_9
    | spl3_10 ),
    inference(avatar_split_clause,[],[f22,f82,f78]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f76,plain,
    ( spl3_7
    | spl3_8 ),
    inference(avatar_split_clause,[],[f33,f73,f69]) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f67,plain,
    ( spl3_5
    | spl3_6 ),
    inference(avatar_split_clause,[],[f14,f64,f60]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f58,plain,
    ( spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f6,f55,f51]) ).

fof(f6,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f49,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f17,f46,f42]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP387-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 22:26:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (31764)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49  % (31748)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (31740)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (31752)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (31737)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50  % (31760)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50  % (31741)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (31761)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (31747)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (31746)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (31746)Instruction limit reached!
% 0.19/0.51  % (31746)------------------------------
% 0.19/0.51  % (31746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (31746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (31746)Termination reason: Unknown
% 0.19/0.51  % (31746)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (31746)Memory used [KB]: 5373
% 0.19/0.51  % (31746)Time elapsed: 0.115 s
% 0.19/0.51  % (31746)Instructions burned: 2 (million)
% 0.19/0.51  % (31746)------------------------------
% 0.19/0.51  % (31746)------------------------------
% 0.19/0.51  % (31749)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (31739)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (31765)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51  % (31742)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (31758)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51  % (31743)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (31767)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (31738)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (31751)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (31757)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (31754)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (31763)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (31745)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (31756)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (31745)Instruction limit reached!
% 0.19/0.53  % (31745)------------------------------
% 0.19/0.53  % (31745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (31745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (31745)Termination reason: Unknown
% 0.19/0.53  % (31745)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (31745)Memory used [KB]: 5500
% 0.19/0.53  % (31745)Time elapsed: 0.093 s
% 0.19/0.53  % (31745)Instructions burned: 7 (million)
% 0.19/0.53  % (31745)------------------------------
% 0.19/0.53  % (31745)------------------------------
% 0.19/0.53  % (31753)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53  % (31759)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (31755)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (31768)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (31750)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  TRYING [4]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (31762)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (31742)First to succeed.
% 0.19/0.56  % (31739)Instruction limit reached!
% 0.19/0.56  % (31739)------------------------------
% 0.19/0.56  % (31739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (31739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (31739)Termination reason: Unknown
% 0.19/0.56  % (31739)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (31739)Memory used [KB]: 1151
% 0.19/0.56  % (31739)Time elapsed: 0.160 s
% 0.19/0.56  % (31739)Instructions burned: 39 (million)
% 0.19/0.56  % (31739)------------------------------
% 0.19/0.56  % (31739)------------------------------
% 0.19/0.56  TRYING [4]
% 0.19/0.57  % (31742)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (31742)------------------------------
% 0.19/0.57  % (31742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (31742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (31742)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (31742)Memory used [KB]: 5756
% 0.19/0.57  % (31742)Time elapsed: 0.154 s
% 0.19/0.57  % (31742)Instructions burned: 22 (million)
% 0.19/0.57  % (31742)------------------------------
% 0.19/0.57  % (31742)------------------------------
% 0.19/0.57  % (31736)Success in time 0.221 s
%------------------------------------------------------------------------------