TSTP Solution File: GRP384-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP384-1 : 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 : n015.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 16:21:30 EDT 2022

% Result   : Unsatisfiable 1.53s 0.61s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  210 (   7 unt;   0 def)
%            Number of atoms       :  728 ( 304 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1007 ( 489   ~; 492   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  27 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   80 (  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1044,plain,
    $false,
    inference(avatar_sat_refutation,[],[f91,f110,f115,f130,f144,f151,f156,f158,f159,f174,f175,f184,f189,f190,f192,f196,f199,f203,f204,f208,f210,f211,f213,f216,f221,f224,f249,f331,f366,f376,f400,f428,f434,f461,f484,f722,f979,f993,f1016,f1034,f1043]) ).

fof(f1043,plain,
    ( ~ spl3_4
    | ~ spl3_5
    | ~ spl3_7
    | spl3_9
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_5
    | ~ spl3_7
    | spl3_9
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(subsumption_resolution,[],[f998,f1039]) ).

fof(f1039,plain,
    ( identity != multiply(identity,sk_c9)
    | ~ spl3_4
    | ~ spl3_7
    | spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f1038,f234]) ).

fof(f234,plain,
    ( identity = sk_c10
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl3_24
  <=> identity = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f1038,plain,
    ( sk_c10 != multiply(identity,sk_c9)
    | ~ spl3_4
    | ~ spl3_7
    | spl3_9 ),
    inference(forward_demodulation,[],[f113,f879]) ).

fof(f879,plain,
    ( identity = sk_c11
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f876,f2]) ).

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

fof(f876,plain,
    ( sk_c11 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(superposition,[],[f285,f679]) ).

fof(f679,plain,
    ( sk_c8 = multiply(sk_c8,sk_c11)
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f674,f90]) ).

fof(f90,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl3_4
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f674,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c11)
    | ~ spl3_7 ),
    inference(superposition,[],[f285,f105]) ).

fof(f105,plain,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl3_7
  <=> sk_c11 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f285,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f273,f1]) ).

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

fof(f273,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

fof(f113,plain,
    ( sk_c10 != multiply(sk_c11,sk_c9)
    | spl3_9 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl3_9
  <=> sk_c10 = multiply(sk_c11,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f998,plain,
    ( identity = multiply(identity,sk_c9)
    | ~ spl3_5
    | ~ spl3_13
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f712,f234]) ).

fof(f712,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl3_5
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f710,f95]) ).

fof(f95,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl3_5
  <=> sk_c10 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f710,plain,
    ( sk_c10 = multiply(inverse(sk_c4),sk_c9)
    | ~ spl3_13 ),
    inference(superposition,[],[f285,f135]) ).

fof(f135,plain,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl3_13
  <=> multiply(sk_c4,sk_c10) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f1034,plain,
    ( ~ spl3_4
    | ~ spl3_7
    | spl3_17
    | ~ spl3_24
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f1033]) ).

fof(f1033,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_7
    | spl3_17
    | ~ spl3_24
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f1032,f879]) ).

fof(f1032,plain,
    ( identity != sk_c11
    | spl3_17
    | ~ spl3_24
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1031,f1]) ).

fof(f1031,plain,
    ( sk_c11 != multiply(identity,identity)
    | spl3_17
    | ~ spl3_24
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f1030,f234]) ).

fof(f1030,plain,
    ( sk_c11 != multiply(sk_c10,identity)
    | spl3_17
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f154,f259]) ).

fof(f259,plain,
    ( identity = sk_c9
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl3_29
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f154,plain,
    ( sk_c11 != multiply(sk_c10,sk_c9)
    | spl3_17 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl3_17
  <=> sk_c11 = multiply(sk_c10,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f1016,plain,
    ( ~ spl3_4
    | ~ spl3_7
    | spl3_8
    | ~ spl3_24
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_7
    | spl3_8
    | ~ spl3_24
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f1014,f234]) ).

fof(f1014,plain,
    ( identity != sk_c10
    | ~ spl3_4
    | ~ spl3_7
    | spl3_8
    | ~ spl3_24
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f882,f1006]) ).

fof(f1006,plain,
    ( identity = inverse(identity)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_24
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f994,f234]) ).

fof(f994,plain,
    ( identity = inverse(sk_c10)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_25 ),
    inference(forward_demodulation,[],[f238,f879]) ).

fof(f238,plain,
    ( sk_c11 = inverse(sk_c10)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl3_25
  <=> sk_c11 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f882,plain,
    ( sk_c10 != inverse(identity)
    | ~ spl3_4
    | ~ spl3_7
    | spl3_8 ),
    inference(backward_demodulation,[],[f108,f879]) ).

fof(f108,plain,
    ( inverse(sk_c11) != sk_c10
    | spl3_8 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl3_8
  <=> inverse(sk_c11) = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f993,plain,
    ( spl3_24
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_12
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f975,f148,f127,f103,f88,f233]) ).

fof(f127,plain,
    ( spl3_12
  <=> sk_c10 = multiply(sk_c3,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f148,plain,
    ( spl3_16
  <=> sk_c11 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f975,plain,
    ( identity = sk_c10
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_12
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f940,f1]) ).

fof(f940,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_12
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f883,f939]) ).

fof(f939,plain,
    ( identity = sk_c3
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(forward_demodulation,[],[f895,f2]) ).

fof(f895,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f753,f879]) ).

fof(f753,plain,
    ( sk_c3 = multiply(inverse(sk_c11),identity)
    | ~ spl3_16 ),
    inference(superposition,[],[f285,f666]) ).

fof(f666,plain,
    ( identity = multiply(sk_c11,sk_c3)
    | ~ spl3_16 ),
    inference(superposition,[],[f2,f150]) ).

fof(f150,plain,
    ( sk_c11 = inverse(sk_c3)
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f883,plain,
    ( sk_c10 = multiply(sk_c3,identity)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f129,f879]) ).

fof(f129,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f979,plain,
    ( ~ spl3_4
    | ~ spl3_7
    | ~ spl3_16
    | spl3_26 ),
    inference(avatar_contradiction_clause,[],[f978]) ).

fof(f978,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_16
    | spl3_26 ),
    inference(subsumption_resolution,[],[f943,f885]) ).

fof(f885,plain,
    ( identity != inverse(identity)
    | ~ spl3_4
    | ~ spl3_7
    | spl3_26 ),
    inference(backward_demodulation,[],[f244,f879]) ).

fof(f244,plain,
    ( sk_c11 != inverse(identity)
    | spl3_26 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl3_26
  <=> sk_c11 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f943,plain,
    ( identity = inverse(identity)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f884,f939]) ).

fof(f884,plain,
    ( identity = inverse(sk_c3)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f150,f879]) ).

fof(f722,plain,
    ( ~ spl3_12
    | ~ spl3_14
    | ~ spl3_16 ),
    inference(avatar_contradiction_clause,[],[f721]) ).

fof(f721,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f720,f150]) ).

fof(f720,plain,
    ( sk_c11 != inverse(sk_c3)
    | ~ spl3_12
    | ~ spl3_14 ),
    inference(trivial_inequality_removal,[],[f719]) ).

fof(f719,plain,
    ( sk_c10 != sk_c10
    | sk_c11 != inverse(sk_c3)
    | ~ spl3_12
    | ~ spl3_14 ),
    inference(superposition,[],[f139,f129]) ).

fof(f139,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | sk_c11 != inverse(X5) )
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl3_14
  <=> ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | sk_c11 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f484,plain,
    ( ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f483,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f482,f1]) ).

fof(f482,plain,
    ( identity != multiply(identity,identity)
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(trivial_inequality_removal,[],[f481]) ).

fof(f481,plain,
    ( identity != identity
    | identity != multiply(identity,identity)
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(superposition,[],[f474,f413]) ).

fof(f413,plain,
    ( identity = inverse(identity)
    | ~ spl3_8
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f334,f411]) ).

fof(f411,plain,
    ( identity = sk_c11
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f247,f234]) ).

fof(f247,plain,
    ( sk_c11 = sk_c10
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl3_27
  <=> sk_c11 = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f334,plain,
    ( identity = inverse(sk_c11)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f109,f234]) ).

fof(f109,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f474,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(X0,identity) )
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f473,f413]) ).

fof(f473,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(X0,inverse(identity)) )
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f472,f413]) ).

fof(f472,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(X0,inverse(inverse(identity))) )
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f471,f413]) ).

fof(f471,plain,
    ( ! [X0] :
        ( identity != multiply(X0,inverse(inverse(identity)))
        | identity != inverse(X0)
        | identity != inverse(identity) )
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f470,f413]) ).

fof(f470,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | inverse(inverse(identity)) != inverse(identity)
        | identity != multiply(X0,inverse(inverse(identity))) )
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f469,f413]) ).

fof(f469,plain,
    ( ! [X0] :
        ( inverse(X0) != inverse(identity)
        | identity != multiply(X0,inverse(inverse(identity)))
        | inverse(inverse(identity)) != inverse(identity) )
    | ~ spl3_8
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f468,f413]) ).

fof(f468,plain,
    ( ! [X0] :
        ( inverse(X0) != inverse(inverse(identity))
        | inverse(inverse(identity)) != inverse(identity)
        | identity != multiply(X0,inverse(inverse(identity))) )
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f466,f294]) ).

fof(f294,plain,
    ! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
    inference(superposition,[],[f285,f2]) ).

fof(f466,plain,
    ( ! [X0] :
        ( inverse(inverse(identity)) != inverse(identity)
        | inverse(X0) != inverse(inverse(identity))
        | identity != multiply(X0,inverse(inverse(identity)))
        | identity != multiply(inverse(inverse(identity)),identity) )
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(superposition,[],[f464,f1]) ).

fof(f464,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | identity != multiply(X7,inverse(inverse(X9)))
        | identity != multiply(inverse(inverse(X9)),identity)
        | inverse(X7) != inverse(inverse(X9)) )
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f463,f411]) ).

fof(f463,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),identity)
        | identity != multiply(X7,inverse(inverse(X9)))
        | inverse(X7) != inverse(inverse(X9)) )
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f462,f411]) ).

fof(f462,plain,
    ( ! [X9,X7] :
        ( inverse(X7) != inverse(inverse(X9))
        | sk_c11 != multiply(X7,inverse(inverse(X9)))
        | inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),identity) )
    | ~ spl3_23
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f220,f234]) ).

fof(f220,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
        | sk_c11 != multiply(X7,inverse(inverse(X9)))
        | inverse(X7) != inverse(inverse(X9)) )
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl3_23
  <=> ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(inverse(X9)))
        | sk_c11 != multiply(X7,inverse(inverse(X9)))
        | inverse(X7) != inverse(inverse(X9))
        | sk_c11 != multiply(inverse(inverse(X9)),sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f461,plain,
    ( ~ spl3_8
    | ~ spl3_20
    | ~ spl3_24
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_20
    | ~ spl3_24
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(subsumption_resolution,[],[f455,f1]) ).

fof(f455,plain,
    ( identity != multiply(identity,identity)
    | ~ spl3_8
    | ~ spl3_20
    | ~ spl3_24
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(duplicate_literal_removal,[],[f453]) ).

fof(f453,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,identity)
    | ~ spl3_8
    | ~ spl3_20
    | ~ spl3_24
    | ~ spl3_27
    | ~ spl3_29 ),
    inference(superposition,[],[f447,f413]) ).

fof(f447,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl3_20
    | ~ spl3_24
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f446,f234]) ).

fof(f446,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(X3))
        | sk_c10 != multiply(inverse(X3),identity) )
    | ~ spl3_20
    | ~ spl3_24
    | ~ spl3_29 ),
    inference(forward_demodulation,[],[f445,f259]) ).

fof(f445,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(X3))
        | sk_c10 != multiply(inverse(X3),sk_c9) )
    | ~ spl3_20
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f173,f234]) ).

fof(f173,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,inverse(X3))
        | sk_c10 != multiply(inverse(X3),sk_c9) )
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl3_20
  <=> ! [X3] :
        ( sk_c10 != multiply(X3,inverse(X3))
        | sk_c10 != multiply(inverse(X3),sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f434,plain,
    ( ~ spl3_8
    | ~ spl3_24
    | spl3_26
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f433]) ).

fof(f433,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_24
    | spl3_26
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f412,f413]) ).

fof(f412,plain,
    ( identity != inverse(identity)
    | ~ spl3_24
    | spl3_26
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f244,f411]) ).

fof(f428,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | ~ spl3_21
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_21
    | ~ spl3_24
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f413,f358]) ).

fof(f358,plain,
    ( identity != inverse(identity)
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_21
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f315,f234]) ).

fof(f315,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(trivial_inequality_removal,[],[f312]) ).

fof(f312,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c10)
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_21 ),
    inference(superposition,[],[f179,f305]) ).

fof(f305,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl3_8
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f296,f109]) ).

fof(f296,plain,
    ( sk_c9 = multiply(inverse(sk_c11),sk_c10)
    | ~ spl3_9 ),
    inference(superposition,[],[f285,f114]) ).

fof(f114,plain,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f179,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl3_21
  <=> ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f400,plain,
    ( ~ spl3_26
    | ~ spl3_24
    | spl3_25 ),
    inference(avatar_split_clause,[],[f340,f237,f233,f242]) ).

fof(f340,plain,
    ( sk_c11 != inverse(identity)
    | ~ spl3_24
    | spl3_25 ),
    inference(backward_demodulation,[],[f239,f234]) ).

fof(f239,plain,
    ( sk_c11 != inverse(sk_c10)
    | spl3_25 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f376,plain,
    ( spl3_29
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f375,f233,f112,f107,f258]) ).

fof(f375,plain,
    ( identity = sk_c9
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f355,f1]) ).

fof(f355,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl3_8
    | ~ spl3_9
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f305,f234]) ).

fof(f366,plain,
    ( ~ spl3_8
    | ~ spl3_24
    | spl3_27 ),
    inference(avatar_contradiction_clause,[],[f365]) ).

fof(f365,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_24
    | spl3_27 ),
    inference(subsumption_resolution,[],[f364,f341]) ).

fof(f341,plain,
    ( identity != sk_c11
    | ~ spl3_24
    | spl3_27 ),
    inference(backward_demodulation,[],[f248,f234]) ).

fof(f248,plain,
    ( sk_c11 != sk_c10
    | spl3_27 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f364,plain,
    ( identity = sk_c11
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f353,f2]) ).

fof(f353,plain,
    ( sk_c11 = multiply(inverse(identity),identity)
    | ~ spl3_8
    | ~ spl3_24 ),
    inference(backward_demodulation,[],[f298,f234]) ).

fof(f298,plain,
    ( sk_c11 = multiply(inverse(sk_c10),identity)
    | ~ spl3_8 ),
    inference(superposition,[],[f285,f226]) ).

fof(f226,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl3_8 ),
    inference(superposition,[],[f2,f109]) ).

fof(f331,plain,
    ( spl3_24
    | ~ spl3_3
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f328,f117,f84,f233]) ).

fof(f84,plain,
    ( spl3_3
  <=> sk_c10 = multiply(sk_c1,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f117,plain,
    ( spl3_10
  <=> sk_c2 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f328,plain,
    ( identity = sk_c10
    | ~ spl3_3
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f317,f2]) ).

fof(f317,plain,
    ( sk_c10 = multiply(inverse(sk_c2),sk_c2)
    | ~ spl3_3
    | ~ spl3_10 ),
    inference(superposition,[],[f285,f287]) ).

fof(f287,plain,
    ( sk_c2 = multiply(sk_c2,sk_c10)
    | ~ spl3_3
    | ~ spl3_10 ),
    inference(superposition,[],[f284,f86]) ).

fof(f86,plain,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f284,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c1,X13)) = X13
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f279,f1]) ).

fof(f279,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c1,X13)) = multiply(identity,X13)
    | ~ spl3_10 ),
    inference(superposition,[],[f3,f227]) ).

fof(f227,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl3_10 ),
    inference(superposition,[],[f2,f119]) ).

fof(f119,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f249,plain,
    ( ~ spl3_26
    | ~ spl3_27
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f228,f138,f246,f242]) ).

fof(f228,plain,
    ( sk_c11 != sk_c10
    | sk_c11 != inverse(identity)
    | ~ spl3_14 ),
    inference(superposition,[],[f139,f1]) ).

fof(f224,plain,
    ( spl3_12
    | spl3_10 ),
    inference(avatar_split_clause,[],[f44,f117,f127]) ).

fof(f44,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f221,plain,
    ( ~ spl3_17
    | ~ spl3_19
    | ~ spl3_9
    | ~ spl3_8
    | ~ spl3_15
    | ~ spl3_22
    | spl3_23 ),
    inference(avatar_split_clause,[],[f73,f219,f181,f141,f107,f112,f168,f153]) ).

fof(f168,plain,
    ( spl3_19
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f141,plain,
    ( spl3_15
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f181,plain,
    ( spl3_22
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f73,plain,
    ! [X9,X7] :
      ( inverse(X9) != multiply(X9,inverse(inverse(X9)))
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | ~ sP1
      | ~ sP2
      | inverse(X7) != inverse(inverse(X9))
      | inverse(sk_c11) != sk_c10
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | ~ sP0
      | sk_c11 != multiply(sk_c10,sk_c9) ),
    inference(general_splitting,[],[f71,f72_D]) ).

fof(f72,plain,
    ! [X5] :
      ( sP2
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != inverse(X5) ),
    inference(cnf_transformation,[],[f72_D]) ).

fof(f72_D,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | sk_c11 != inverse(X5) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f71,plain,
    ! [X9,X7,X5] :
      ( inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(X9) != multiply(X9,inverse(inverse(X9)))
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | sk_c11 != inverse(X5)
      | inverse(X7) != inverse(inverse(X9))
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f69,f70_D]) ).

fof(f70,plain,
    ! [X6] :
      ( sP1
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != inverse(X6) ),
    inference(cnf_transformation,[],[f70_D]) ).

fof(f70_D,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f69,plain,
    ! [X6,X9,X7,X5] :
      ( inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | sk_c10 != inverse(X6)
      | inverse(X9) != multiply(X9,inverse(inverse(X9)))
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | sk_c11 != inverse(X5)
      | inverse(X7) != inverse(inverse(X9))
      | sk_c9 != multiply(X6,sk_c10)
      | ~ sP0 ),
    inference(general_splitting,[],[f67,f68_D]) ).

fof(f68,plain,
    ! [X3] :
      ( sk_c10 != multiply(X3,inverse(X3))
      | sk_c10 != multiply(inverse(X3),sk_c9)
      | sP0 ),
    inference(cnf_transformation,[],[f68_D]) ).

fof(f68_D,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,inverse(X3))
        | sk_c10 != multiply(inverse(X3),sk_c9) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f67,plain,
    ! [X3,X6,X9,X7,X5] :
      ( inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X7,inverse(inverse(X9)))
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c10 != inverse(X6)
      | inverse(X9) != multiply(X9,inverse(inverse(X9)))
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
      | sk_c11 != inverse(X5)
      | inverse(X7) != inverse(inverse(X9))
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != multiply(inverse(X3),sk_c9) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X10,X6,X9,X7,X5] :
      ( inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X7,inverse(X10))
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c10 != inverse(X6)
      | inverse(X9) != X10
      | multiply(X9,inverse(X10)) != X10
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(inverse(X10),sk_c10)
      | sk_c11 != inverse(X5)
      | inverse(X7) != inverse(X10)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != multiply(inverse(X3),sk_c9) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X8,X6,X9,X7,X5] :
      ( inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X7,X8)
      | inverse(X10) != X8
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | sk_c10 != multiply(X3,inverse(X3))
      | sk_c10 != inverse(X6)
      | inverse(X9) != X10
      | multiply(X9,X8) != X10
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != inverse(X5)
      | inverse(X7) != X8
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != multiply(inverse(X3),sk_c9) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( inverse(X3) != X4
      | inverse(sk_c11) != sk_c10
      | sk_c11 != multiply(X7,X8)
      | inverse(X10) != X8
      | sk_c10 != multiply(sk_c11,sk_c9)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | sk_c10 != multiply(X3,X4)
      | sk_c10 != inverse(X6)
      | inverse(X9) != X10
      | multiply(X9,X8) != X10
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != inverse(X5)
      | inverse(X7) != X8
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != multiply(X4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).

fof(f216,plain,
    ( spl3_16
    | spl3_8 ),
    inference(avatar_split_clause,[],[f5,f107,f148]) ).

fof(f5,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f213,plain,
    ( spl3_3
    | spl3_7 ),
    inference(avatar_split_clause,[],[f38,f103,f84]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f211,plain,
    ( spl3_8
    | spl3_12 ),
    inference(avatar_split_clause,[],[f4,f127,f107]) ).

fof(f4,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f210,plain,
    ( spl3_17
    | spl3_4 ),
    inference(avatar_split_clause,[],[f19,f88,f153]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f208,plain,
    ( spl3_10
    | spl3_16 ),
    inference(avatar_split_clause,[],[f45,f148,f117]) ).

fof(f45,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f204,plain,
    ( spl3_13
    | spl3_9 ),
    inference(avatar_split_clause,[],[f26,f112,f133]) ).

fof(f26,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f203,plain,
    ( spl3_4
    | spl3_8 ),
    inference(avatar_split_clause,[],[f9,f107,f88]) ).

fof(f9,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f199,plain,
    ( spl3_10
    | spl3_7 ),
    inference(avatar_split_clause,[],[f48,f103,f117]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f196,plain,
    ( spl3_3
    | spl3_12 ),
    inference(avatar_split_clause,[],[f34,f127,f84]) ).

fof(f34,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f192,plain,
    ( spl3_7
    | spl3_9 ),
    inference(avatar_split_clause,[],[f28,f112,f103]) ).

fof(f28,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f190,plain,
    ( spl3_17
    | spl3_16 ),
    inference(avatar_split_clause,[],[f15,f148,f153]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f189,plain,
    ( spl3_16
    | spl3_9 ),
    inference(avatar_split_clause,[],[f25,f112,f148]) ).

fof(f25,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f184,plain,
    ( spl3_21
    | spl3_22 ),
    inference(avatar_split_clause,[],[f70,f181,f178]) ).

fof(f175,plain,
    ( spl3_9
    | spl3_4 ),
    inference(avatar_split_clause,[],[f29,f88,f112]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f174,plain,
    ( spl3_19
    | spl3_20 ),
    inference(avatar_split_clause,[],[f68,f172,f168]) ).

fof(f159,plain,
    ( spl3_12
    | spl3_17 ),
    inference(avatar_split_clause,[],[f14,f153,f127]) ).

fof(f14,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f158,plain,
    ( spl3_4
    | spl3_10 ),
    inference(avatar_split_clause,[],[f49,f117,f88]) ).

fof(f49,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f156,plain,
    ( spl3_7
    | spl3_17 ),
    inference(avatar_split_clause,[],[f18,f153,f103]) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f151,plain,
    ( spl3_16
    | spl3_3 ),
    inference(avatar_split_clause,[],[f35,f84,f148]) ).

fof(f35,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f144,plain,
    ( spl3_14
    | spl3_15 ),
    inference(avatar_split_clause,[],[f72,f141,f138]) ).

fof(f130,plain,
    ( spl3_12
    | spl3_9 ),
    inference(avatar_split_clause,[],[f24,f112,f127]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f115,plain,
    ( spl3_9
    | spl3_5 ),
    inference(avatar_split_clause,[],[f27,f93,f112]) ).

fof(f27,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f110,plain,
    ( spl3_7
    | spl3_8 ),
    inference(avatar_split_clause,[],[f8,f107,f103]) ).

fof(f8,axiom,
    ( inverse(sk_c11) = sk_c10
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f91,plain,
    ( spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f39,f88,f84]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP384-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:38:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.36/0.52  % (6954)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)
% 1.36/0.53  % (6936)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)
% 1.36/0.53  % (6938)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)
% 1.36/0.53  % (6946)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)
% 1.36/0.53  % (6942)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.53  % (6939)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53  % (6944)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)
% 1.36/0.53  % (6956)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.36/0.53  % (6942)Instruction limit reached!
% 1.36/0.53  % (6942)------------------------------
% 1.36/0.53  % (6942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  % (6942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (6942)Termination reason: Unknown
% 1.36/0.53  % (6942)Termination phase: Saturation
% 1.36/0.53  
% 1.36/0.53  % (6942)Memory used [KB]: 5500
% 1.36/0.53  % (6942)Time elapsed: 0.129 s
% 1.36/0.53  % (6942)Instructions burned: 7 (million)
% 1.36/0.53  % (6942)------------------------------
% 1.36/0.53  % (6942)------------------------------
% 1.36/0.53  % (6949)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)
% 1.36/0.53  % (6943)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.53  % (6943)Instruction limit reached!
% 1.36/0.53  % (6943)------------------------------
% 1.36/0.53  % (6943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  % (6943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (6943)Termination reason: Unknown
% 1.36/0.53  % (6943)Termination phase: Saturation
% 1.36/0.53  
% 1.36/0.53  % (6943)Memory used [KB]: 5373
% 1.36/0.53  % (6943)Time elapsed: 0.002 s
% 1.36/0.53  % (6943)Instructions burned: 2 (million)
% 1.36/0.53  % (6943)------------------------------
% 1.36/0.53  % (6943)------------------------------
% 1.36/0.53  % (6940)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)
% 1.53/0.54  % (6953)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.54  % (6958)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)
% 1.53/0.54  % (6952)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.53/0.54  % (6941)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)
% 1.53/0.54  % (6959)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.53/0.54  % (6957)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)
% 1.53/0.54  % (6947)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.53/0.54  % (6935)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)
% 1.53/0.54  % (6945)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.54  % (6937)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)
% 1.53/0.54  TRYING [1]
% 1.53/0.55  % (6948)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.55  TRYING [2]
% 1.53/0.55  % (6955)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)
% 1.53/0.55  % (6963)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.53/0.55  % (6961)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)
% 1.53/0.55  % (6964)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)
% 1.53/0.55  % (6950)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)
% 1.53/0.55  TRYING [1]
% 1.53/0.55  % (6962)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)
% 1.53/0.56  TRYING [1]
% 1.53/0.56  % (6960)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.56  TRYING [2]
% 1.53/0.56  TRYING [3]
% 1.53/0.57  % (6951)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)
% 1.53/0.57  TRYING [2]
% 1.53/0.57  TRYING [3]
% 1.53/0.57  TRYING [3]
% 1.53/0.59  % (6944)Instruction limit reached!
% 1.53/0.59  % (6944)------------------------------
% 1.53/0.59  % (6944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  TRYING [4]
% 1.53/0.60  % (6937)Instruction limit reached!
% 1.53/0.60  % (6937)------------------------------
% 1.53/0.60  % (6937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (6956)First to succeed.
% 1.53/0.60  % (6937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (6937)Termination reason: Unknown
% 1.53/0.60  % (6937)Termination phase: Saturation
% 1.53/0.60  
% 1.53/0.60  % (6937)Memory used [KB]: 1151
% 1.53/0.60  % (6937)Time elapsed: 0.186 s
% 1.53/0.60  % (6937)Instructions burned: 38 (million)
% 1.53/0.60  % (6937)------------------------------
% 1.53/0.60  % (6937)------------------------------
% 1.53/0.61  % (6956)Refutation found. Thanks to Tanya!
% 1.53/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.61  % (6956)------------------------------
% 1.53/0.61  % (6956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.61  % (6956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.61  % (6956)Termination reason: Refutation
% 1.53/0.61  
% 1.53/0.61  % (6956)Memory used [KB]: 6012
% 1.53/0.61  % (6956)Time elapsed: 0.198 s
% 1.53/0.61  % (6956)Instructions burned: 31 (million)
% 1.53/0.61  % (6956)------------------------------
% 1.53/0.61  % (6956)------------------------------
% 1.53/0.61  % (6934)Success in time 0.259 s
%------------------------------------------------------------------------------