%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP285-1 : 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 : n007.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 16:15:11 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  114 (   4 unt;   0 def)
%            Number of atoms       :  331 ( 132 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  423 ( 206   ~; 204   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  14 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f283,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f61,f62,f72,f78,f84,f85,f86,f93,f106,f107,f110,f111,f114,f115,f118,f122,f125,f153,f158,f169,f210,f256,f260,f269,f281]) ).

fof(f281,plain,
    ( spl0_17
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f278,f89,f81,f69,f132]) ).

fof(f132,plain,
    ( spl0_17
  <=> sk_c9 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f69,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f81,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c5,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f89,plain,
    ( spl0_11
  <=> sk_c7 = multiply(sk_c9,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f278,plain,
    ( sk_c9 = sk_c7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f91,f196]) ).

fof(f196,plain,
    ( sk_c9 = multiply(sk_c9,sk_c6)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f190,f83]) ).

fof(f83,plain,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f190,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f189,f1]) ).

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

fof(f189,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f180]) ).

fof(f180,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f71]) ).

fof(f71,plain,
    ( sk_c9 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f69]) ).

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

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(f91,plain,
    ( sk_c7 = multiply(sk_c9,sk_c6)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f269,plain,
    ( ~ spl0_17
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f268,f58,f53,f39,f132]) ).

fof(f39,plain,
    ( spl0_2
  <=> multiply(sk_c9,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f53,plain,
    ( spl0_5
  <=> sk_c9 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f58,plain,
    ( spl0_6
  <=> sk_c8 = multiply(sk_c3,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f268,plain,
    ( sk_c9 != sk_c7
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f40,f193]) ).

fof(f193,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f188,f60]) ).

fof(f60,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f187,f1]) ).

fof(f187,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f179]) ).

fof(f179,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f55]) ).

fof(f55,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f40,plain,
    ( multiply(sk_c9,sk_c8) != sk_c7
    | spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f260,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f259]) ).

fof(f259,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f258]) ).

fof(f258,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f253,f175]) ).

fof(f175,plain,
    ( sk_c9 = multiply(sk_c9,sk_c6)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f91,f133]) ).

fof(f133,plain,
    ( sk_c9 = sk_c7
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f253,plain,
    ( sk_c9 != multiply(sk_c9,sk_c6)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f248,f83]) ).

fof(f248,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f247]) ).

fof(f247,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
    | sk_c9 != sk_c9
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f213,f71]) ).

fof(f213,plain,
    ( ! [X8] :
        ( sk_c9 != inverse(X8)
        | sk_c9 != multiply(sk_c9,multiply(X8,sk_c9)) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f96,f133]) ).

fof(f96,plain,
    ( ! [X8] :
        ( sk_c9 != inverse(X8)
        | sk_c7 != multiply(sk_c9,multiply(X8,sk_c9)) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl0_12
  <=> ! [X8] :
        ( sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
        | sk_c9 != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f256,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f255]) ).

fof(f255,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f254]) ).

fof(f254,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f251,f172]) ).

fof(f172,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f41,f133]) ).

fof(f41,plain,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f251,plain,
    ( sk_c9 != multiply(sk_c9,sk_c8)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f250,f60]) ).

fof(f250,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c3,sk_c9))
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f245]) ).

fof(f245,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c9,multiply(sk_c3,sk_c9))
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f213,f55]) ).

fof(f210,plain,
    ( ~ spl0_6
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f209,f98,f53,f58]) ).

fof(f98,plain,
    ( spl0_13
  <=> ! [X3] :
        ( sk_c9 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f209,plain,
    ( sk_c8 != multiply(sk_c3,sk_c9)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f202]) ).

fof(f202,plain,
    ( sk_c8 != multiply(sk_c3,sk_c9)
    | sk_c9 != sk_c9
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f99,f55]) ).

fof(f99,plain,
    ( ! [X3] :
        ( sk_c9 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c9) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f169,plain,
    ( ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f168]) ).

fof(f168,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f163]) ).

fof(f163,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f160,f1]) ).

fof(f160,plain,
    ( ! [X4] : sk_c9 != multiply(X4,sk_c9)
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f105,f133]) ).

fof(f105,plain,
    ( ! [X4] : sk_c7 != multiply(X4,sk_c9)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl0_15
  <=> ! [X4] : sk_c7 != multiply(X4,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f158,plain,
    ( spl0_13
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f157,f132,f101,f98]) ).

fof(f101,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f157,plain,
    ( ! [X6] :
        ( sk_c9 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c9) )
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f155,f133]) ).

fof(f155,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c9)
        | sk_c7 != inverse(X6) )
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f102,f133]) ).

fof(f102,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f153,plain,
    ( spl0_17
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f151,f65,f49,f39,f132]) ).

fof(f49,plain,
    ( spl0_4
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f65,plain,
    ( spl0_7
  <=> sk_c8 = multiply(sk_c1,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f151,plain,
    ( sk_c9 = sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f41,f148]) ).

fof(f148,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f144,f67]) ).

fof(f67,plain,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f144,plain,
    ( ! [X9] : multiply(sk_c9,multiply(sk_c1,X9)) = X9
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f141,plain,
    ( ! [X9] : multiply(identity,X9) = multiply(sk_c9,multiply(sk_c1,X9))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f136]) ).

fof(f136,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f51]) ).

fof(f51,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f125,plain,
    ( ~ spl0_7
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f124,f98,f49,f65]) ).

fof(f124,plain,
    ( sk_c8 != multiply(sk_c1,sk_c9)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f123]) ).

fof(f123,plain,
    ( sk_c8 != multiply(sk_c1,sk_c9)
    | sk_c9 != sk_c9
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f99,f51]) ).

fof(f122,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f121,f95,f65,f49,f39]) ).

fof(f121,plain,
    ( multiply(sk_c9,sk_c8) != sk_c7
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f120,f67]) ).

fof(f120,plain,
    ( sk_c7 != multiply(sk_c9,multiply(sk_c1,sk_c9))
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f119]) ).

fof(f119,plain,
    ( sk_c7 != multiply(sk_c9,multiply(sk_c1,sk_c9))
    | sk_c9 != sk_c9
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f96,f51]) ).

fof(f118,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f58,f49]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f115,plain,
    ( spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f8,f89,f39]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c9,sk_c6)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f114,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f11,f65,f58]) ).

fof(f11,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f111,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f15,f65,f89]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | sk_c7 = multiply(sk_c9,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f110,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f23,f49,f81]) ).

fof(f23,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f107,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f49,f69]) ).

fof(f24,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f106,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_2
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f33,f104,f101,f98,f39,f98,f95]) ).

fof(f33,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c7 != multiply(X4,sk_c9)
      | sk_c7 != inverse(X6)
      | sk_c9 != inverse(X5)
      | multiply(sk_c9,sk_c8) != sk_c7
      | sk_c9 != inverse(X3)
      | sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c9 != inverse(X8)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c8 != multiply(X6,sk_c7) ),
    inference(equality_resolution,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( multiply(X8,sk_c9) != X7
      | sk_c9 != inverse(X8)
      | sk_c7 != multiply(sk_c9,X7)
      | sk_c9 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(X4,sk_c9)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c8 != multiply(X5,sk_c9)
      | multiply(sk_c9,sk_c8) != sk_c7
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c9 != inverse(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f93,plain,
    ( spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f22,f89,f49]) ).

fof(f22,axiom,
    ( sk_c7 = multiply(sk_c9,sk_c6)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f86,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f16,f65,f81]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | sk_c6 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f85,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f53,f65]) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f84,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f39,f81]) ).

fof(f9,axiom,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f78,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f39,f69]) ).

fof(f10,axiom,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f72,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f17,f69,f65]) ).

fof(f17,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f62,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f39,f53]) ).

fof(f5,axiom,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f61,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f39,f58]) ).

fof(f4,axiom,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f56,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f53,f49]) ).

fof(f19,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP285-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:10:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (7850)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (7859)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (7847)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (7841)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (7850)Instruction limit reached!
% 0.20/0.51  % (7850)------------------------------
% 0.20/0.51  % (7850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (7851)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (7868)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.51  % (7845)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51  % (7845)Refutation not found, incomplete strategy% (7845)------------------------------
% 0.20/0.51  % (7845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (7845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (7845)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (7845)Memory used [KB]: 5884
% 0.20/0.51  % (7845)Time elapsed: 0.118 s
% 0.20/0.51  % (7845)Instructions burned: 3 (million)
% 0.20/0.51  % (7845)------------------------------
% 0.20/0.51  % (7845)------------------------------
% 0.20/0.52  % (7850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (7850)Termination reason: Unknown
% 0.20/0.52  % (7850)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (7850)Memory used [KB]: 5884
% 0.20/0.52  % (7850)Time elapsed: 0.003 s
% 0.20/0.52  % (7850)Instructions burned: 3 (million)
% 0.20/0.52  % (7850)------------------------------
% 0.20/0.52  % (7850)------------------------------
% 0.20/0.52  % (7843)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52  % (7859)Instruction limit reached!
% 0.20/0.52  % (7859)------------------------------
% 0.20/0.52  % (7859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (7861)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (7853)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (7859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (7859)Termination reason: Unknown
% 0.20/0.52  % (7859)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (7859)Memory used [KB]: 6012
% 0.20/0.52  % (7859)Time elapsed: 0.112 s
% 0.20/0.52  % (7859)Instructions burned: 8 (million)
% 0.20/0.52  % (7859)------------------------------
% 0.20/0.52  % (7859)------------------------------
% 0.20/0.52  % (7865)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52  % (7867)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52  % (7846)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (7866)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (7869)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53  % (7848)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (7866)Refutation not found, incomplete strategy% (7866)------------------------------
% 0.20/0.53  % (7866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7866)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (7866)Memory used [KB]: 5884
% 0.20/0.53  % (7866)Time elapsed: 0.089 s
% 0.20/0.53  % (7866)Instructions burned: 3 (million)
% 0.20/0.53  % (7866)------------------------------
% 0.20/0.53  % (7866)------------------------------
% 0.20/0.53  % (7855)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (7855)Instruction limit reached!
% 0.20/0.53  % (7855)------------------------------
% 0.20/0.53  % (7855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7855)Termination reason: Unknown
% 0.20/0.53  % (7855)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (7855)Memory used [KB]: 5884
% 0.20/0.53  % (7855)Time elapsed: 0.002 s
% 0.20/0.53  % (7855)Instructions burned: 3 (million)
% 0.20/0.53  % (7855)------------------------------
% 0.20/0.53  % (7855)------------------------------
% 0.20/0.53  % (7846)Refutation not found, incomplete strategy% (7846)------------------------------
% 0.20/0.53  % (7846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7846)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (7846)Memory used [KB]: 6012
% 0.20/0.53  % (7846)Time elapsed: 0.125 s
% 0.20/0.53  % (7846)Instructions burned: 6 (million)
% 0.20/0.53  % (7846)------------------------------
% 0.20/0.53  % (7846)------------------------------
% 0.20/0.53  % (7860)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53  % (7857)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (7871)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53  % (7847)First to succeed.
% 0.20/0.53  % (7854)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.53  % (7858)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (7858)Instruction limit reached!
% 0.20/0.53  % (7858)------------------------------
% 0.20/0.53  % (7858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7862)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (7858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7858)Termination reason: Unknown
% 0.20/0.53  % (7858)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (7858)Memory used [KB]: 5884
% 0.20/0.53  % (7858)Time elapsed: 0.003 s
% 0.20/0.53  % (7858)Instructions burned: 3 (million)
% 0.20/0.53  % (7858)------------------------------
% 0.20/0.53  % (7858)------------------------------
% 0.20/0.53  % (7871)Refutation not found, incomplete strategy% (7871)------------------------------
% 0.20/0.53  % (7871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7870)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53  % (7849)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (7872)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (7862)Instruction limit reached!
% 0.20/0.54  % (7862)------------------------------
% 0.20/0.54  % (7862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (7844)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54  % (7854)Instruction limit reached!
% 0.20/0.54  % (7854)------------------------------
% 0.20/0.54  % (7854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (7847)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (7847)------------------------------
% 0.20/0.54  % (7847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (7847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (7847)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (7847)Memory used [KB]: 6012
% 0.20/0.54  % (7847)Time elapsed: 0.112 s
% 0.20/0.54  % (7847)Instructions burned: 8 (million)
% 0.20/0.54  % (7847)------------------------------
% 0.20/0.54  % (7847)------------------------------
% 0.20/0.54  % (7836)Success in time 0.182 s
%------------------------------------------------------------------------------