%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP233-1 : 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 : n022.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 16:14:58 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  274 (  30 unt;   0 def)
%            Number of atoms       :  754 ( 325 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  874 ( 394   ~; 459   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  22 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f808,plain,
    $false,
    inference(avatar_sat_refutation,[],[f92,f97,f106,f111,f112,f113,f118,f123,f128,f129,f130,f131,f132,f133,f134,f135,f136,f141,f142,f143,f145,f146,f147,f148,f149,f150,f151,f152,f162,f181,f187,f206,f215,f224,f279,f344,f348,f372,f578,f645,f685,f687,f726,f782,f794,f801]) ).

fof(f801,plain,
    ( ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | spl11_23 ),
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | spl11_23 ),
    inference(subsumption_resolution,[],[f799,f228]) ).

fof(f228,plain,
    ( sk_c8 != sk_c7
    | spl11_23 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl11_23
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).

fof(f799,plain,
    ( sk_c8 = sk_c7
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8 ),
    inference(forward_demodulation,[],[f468,f730]) ).

fof(f730,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl11_3
    | ~ spl11_5 ),
    inference(backward_demodulation,[],[f681,f101]) ).

fof(f101,plain,
    ( sk_c8 = sF6
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl11_5
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f681,plain,
    ( sk_c8 = multiply(sF6,sk_c6)
    | ~ spl11_3 ),
    inference(backward_demodulation,[],[f275,f91]) ).

fof(f91,plain,
    ( sk_c6 = sF7
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl11_3
  <=> sk_c6 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f275,plain,
    sk_c8 = multiply(sF6,sF7),
    inference(forward_demodulation,[],[f267,f47]) ).

fof(f47,plain,
    inverse(sk_c5) = sF6,
    introduced(function_definition,[]) ).

fof(f267,plain,
    sk_c8 = multiply(inverse(sk_c5),sF7),
    inference(superposition,[],[f242,f50]) ).

fof(f50,plain,
    multiply(sk_c5,sk_c8) = sF7,
    introduced(function_definition,[]) ).

fof(f242,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f232,f1]) ).

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

fof(f232,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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(f468,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl11_8 ),
    inference(forward_demodulation,[],[f59,f117]) ).

fof(f117,plain,
    ( sk_c7 = sF10
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl11_8
  <=> sk_c7 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f59,plain,
    multiply(sk_c8,sk_c6) = sF10,
    introduced(function_definition,[]) ).

fof(f794,plain,
    ( ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | spl11_22
    | ~ spl11_23 ),
    inference(avatar_contradiction_clause,[],[f793]) ).

fof(f793,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | spl11_22
    | ~ spl11_23 ),
    inference(subsumption_resolution,[],[f792,f223]) ).

fof(f223,plain,
    ( identity != sk_c8
    | spl11_22 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl11_22
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).

fof(f792,plain,
    ( identity = sk_c8
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f791,f770]) ).

fof(f770,plain,
    ( ! [X13] : multiply(sk_c8,X13) = X13
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f769,f1]) ).

fof(f769,plain,
    ( ! [X13] : multiply(identity,X13) = multiply(sk_c8,X13)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f746,f758]) ).

fof(f758,plain,
    ( identity = sk_c6
    | ~ spl11_8
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f717,f753]) ).

fof(f753,plain,
    identity = multiply(sF2,sk_c8),
    inference(superposition,[],[f2,f40]) ).

fof(f40,plain,
    inverse(sk_c8) = sF2,
    introduced(function_definition,[]) ).

fof(f717,plain,
    ( sk_c6 = multiply(sF2,sk_c8)
    | ~ spl11_8
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f698,f227]) ).

fof(f227,plain,
    ( sk_c8 = sk_c7
    | ~ spl11_23 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f698,plain,
    ( sk_c6 = multiply(sF2,sk_c7)
    | ~ spl11_8 ),
    inference(backward_demodulation,[],[f688,f40]) ).

fof(f688,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl11_8 ),
    inference(backward_demodulation,[],[f261,f117]) ).

fof(f261,plain,
    sk_c6 = multiply(inverse(sk_c8),sF10),
    inference(superposition,[],[f242,f59]) ).

fof(f746,plain,
    ( ! [X13] : multiply(sk_c6,X13) = multiply(sk_c8,X13)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_10
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f736,f718]) ).

fof(f718,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c8,X12)) = multiply(sk_c8,X12)
    | ~ spl11_1
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f700,f227]) ).

fof(f700,plain,
    ( ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = multiply(sk_c8,X12)
    | ~ spl11_1 ),
    inference(forward_demodulation,[],[f237,f82]) ).

fof(f82,plain,
    ( sk_c8 = sF3
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl11_1
  <=> sk_c8 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f237,plain,
    ! [X12] : multiply(sF3,X12) = multiply(sk_c4,multiply(sk_c7,X12)),
    inference(superposition,[],[f3,f42]) ).

fof(f42,plain,
    multiply(sk_c4,sk_c7) = sF3,
    introduced(function_definition,[]) ).

fof(f736,plain,
    ( ! [X13] : multiply(sk_c6,X13) = multiply(sk_c4,multiply(sk_c8,X13))
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f703,f733]) ).

fof(f733,plain,
    ( sk_c4 = sk_c5
    | ~ spl11_5
    | ~ spl11_10 ),
    inference(forward_demodulation,[],[f732,f699]) ).

fof(f699,plain,
    ( sk_c4 = multiply(sF2,identity)
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f682,f40]) ).

fof(f682,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f270,f127]) ).

fof(f127,plain,
    ( sk_c8 = sF0
    | ~ spl11_10 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl11_10
  <=> sk_c8 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

fof(f270,plain,
    sk_c4 = multiply(inverse(sF0),identity),
    inference(superposition,[],[f242,f170]) ).

fof(f170,plain,
    identity = multiply(sF0,sk_c4),
    inference(superposition,[],[f2,f37]) ).

fof(f37,plain,
    inverse(sk_c4) = sF0,
    introduced(function_definition,[]) ).

fof(f732,plain,
    ( sk_c5 = multiply(sF2,identity)
    | ~ spl11_5 ),
    inference(forward_demodulation,[],[f728,f40]) ).

fof(f728,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl11_5 ),
    inference(backward_demodulation,[],[f271,f101]) ).

fof(f271,plain,
    sk_c5 = multiply(inverse(sF6),identity),
    inference(superposition,[],[f242,f171]) ).

fof(f171,plain,
    identity = multiply(sF6,sk_c5),
    inference(superposition,[],[f2,f47]) ).

fof(f703,plain,
    ( ! [X13] : multiply(sk_c6,X13) = multiply(sk_c5,multiply(sk_c8,X13))
    | ~ spl11_3 ),
    inference(forward_demodulation,[],[f238,f91]) ).

fof(f238,plain,
    ! [X13] : multiply(sF7,X13) = multiply(sk_c5,multiply(sk_c8,X13)),
    inference(superposition,[],[f3,f50]) ).

fof(f791,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f730,f758]) ).

fof(f782,plain,
    ( spl11_19
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_20
    | ~ spl11_23 ),
    inference(avatar_split_clause,[],[f775,f226,f212,f125,f115,f99,f89,f80,f203]) ).

fof(f203,plain,
    ( spl11_19
  <=> sk_c8 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).

fof(f212,plain,
    ( spl11_20
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).

fof(f775,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_20
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f213,f774]) ).

fof(f774,plain,
    ( identity = sk_c4
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f699,f771]) ).

fof(f771,plain,
    ( ! [X0] : multiply(sF2,X0) = X0
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_8
    | ~ spl11_10
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f752,f770]) ).

fof(f752,plain,
    ! [X0] : multiply(sF2,multiply(sk_c8,X0)) = X0,
    inference(superposition,[],[f242,f40]) ).

fof(f213,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl11_20 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f726,plain,
    ( ~ spl11_3
    | ~ spl11_8
    | spl11_15
    | ~ spl11_23 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl11_3
    | ~ spl11_8
    | spl11_15
    | ~ spl11_23 ),
    inference(subsumption_resolution,[],[f724,f227]) ).

fof(f724,plain,
    ( sk_c8 != sk_c7
    | ~ spl11_3
    | ~ spl11_8
    | spl11_15
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f723,f715]) ).

fof(f715,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl11_8
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f468,f227]) ).

fof(f723,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | ~ spl11_3
    | spl11_15 ),
    inference(forward_demodulation,[],[f186,f91]) ).

fof(f186,plain,
    ( sk_c7 != multiply(sk_c8,sF7)
    | spl11_15 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl11_15
  <=> sk_c7 = multiply(sk_c8,sF7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).

fof(f687,plain,
    ( spl11_18
    | ~ spl11_1
    | ~ spl11_10 ),
    inference(avatar_split_clause,[],[f686,f125,f80,f199]) ).

fof(f199,plain,
    ( spl11_18
  <=> sk_c7 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).

fof(f686,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl11_1
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f684,f82]) ).

fof(f684,plain,
    ( sk_c7 = multiply(sk_c8,sF3)
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f294,f127]) ).

fof(f294,plain,
    sk_c7 = multiply(sF0,sF3),
    inference(forward_demodulation,[],[f266,f37]) ).

fof(f266,plain,
    sk_c7 = multiply(inverse(sk_c4),sF3),
    inference(superposition,[],[f242,f42]) ).

fof(f685,plain,
    ( spl11_20
    | ~ spl11_10 ),
    inference(avatar_split_clause,[],[f683,f125,f212]) ).

fof(f683,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f37,f127]) ).

fof(f645,plain,
    ( ~ spl11_5
    | spl11_7
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(avatar_contradiction_clause,[],[f644]) ).

fof(f644,plain,
    ( $false
    | ~ spl11_5
    | spl11_7
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(subsumption_resolution,[],[f643,f613]) ).

fof(f613,plain,
    ( identity != sF2
    | spl11_7
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f109,f610]) ).

fof(f610,plain,
    ( identity = sk_c7
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f227,f222]) ).

fof(f222,plain,
    ( identity = sk_c8
    | ~ spl11_22 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f109,plain,
    ( sk_c7 != sF2
    | spl11_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl11_7
  <=> sk_c7 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f643,plain,
    ( identity = sF2
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f642,f595]) ).

fof(f595,plain,
    ( identity = inverse(identity)
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f591,f592]) ).

fof(f592,plain,
    ( identity = sk_c5
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f588,f2]) ).

fof(f588,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f271,f587]) ).

fof(f587,plain,
    ( identity = sF6
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f101,f222]) ).

fof(f591,plain,
    ( identity = inverse(sk_c5)
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f47,f587]) ).

fof(f642,plain,
    ( sF2 = inverse(identity)
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f40,f222]) ).

fof(f578,plain,
    ( ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(avatar_contradiction_clause,[],[f577]) ).

fof(f577,plain,
    ( $false
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(subsumption_resolution,[],[f576,f482]) ).

fof(f482,plain,
    ( identity = inverse(identity)
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f204,f222]) ).

fof(f204,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl11_19 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f576,plain,
    ( identity != inverse(identity)
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f571,f482]) ).

fof(f571,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(trivial_inequality_removal,[],[f569]) ).

fof(f569,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(superposition,[],[f509,f2]) ).

fof(f509,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f508,f222]) ).

fof(f508,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | identity != multiply(X3,identity) )
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f507,f489]) ).

fof(f489,plain,
    ( identity = sk_c7
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f418,f482]) ).

fof(f418,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl11_7
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f164,f222]) ).

fof(f164,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl11_7 ),
    inference(backward_demodulation,[],[f40,f110]) ).

fof(f110,plain,
    ( sk_c7 = sF2
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f507,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | sk_c8 != inverse(X3) )
    | ~ spl11_14
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f161,f222]) ).

fof(f161,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl11_14 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl11_14
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).

fof(f372,plain,
    ( ~ spl11_7
    | spl11_19
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(avatar_contradiction_clause,[],[f371]) ).

fof(f371,plain,
    ( $false
    | ~ spl11_7
    | spl11_19
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(subsumption_resolution,[],[f362,f354]) ).

fof(f354,plain,
    ( identity != inverse(identity)
    | spl11_19
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f205,f222]) ).

fof(f205,plain,
    ( sk_c8 != inverse(identity)
    | spl11_19 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f362,plain,
    ( identity = inverse(identity)
    | ~ spl11_7
    | ~ spl11_22
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f302,f222]) ).

fof(f302,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl11_7
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f164,f227]) ).

fof(f348,plain,
    ( ~ spl11_7
    | spl11_21
    | ~ spl11_23 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | ~ spl11_7
    | spl11_21
    | ~ spl11_23 ),
    inference(subsumption_resolution,[],[f346,f302]) ).

fof(f346,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl11_7
    | spl11_21
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f345,f302]) ).

fof(f345,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | spl11_21
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f219,f227]) ).

fof(f219,plain,
    ( sk_c8 != inverse(inverse(sk_c7))
    | spl11_21 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl11_21
  <=> sk_c8 = inverse(inverse(sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).

fof(f344,plain,
    ( spl11_22
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11
    | ~ spl11_23 ),
    inference(avatar_split_clause,[],[f321,f226,f138,f120,f108,f103,f94,f221]) ).

fof(f94,plain,
    ( spl11_4
  <=> sk_c7 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f103,plain,
    ( spl11_6
  <=> sk_c3 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f120,plain,
    ( spl11_9
  <=> sk_c8 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).

fof(f138,plain,
    ( spl11_11
  <=> sk_c8 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

fof(f321,plain,
    ( identity = sk_c8
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11
    | ~ spl11_23 ),
    inference(forward_demodulation,[],[f313,f304]) ).

fof(f304,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl11_7
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f169,f227]) ).

fof(f169,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl11_7 ),
    inference(superposition,[],[f2,f164]) ).

fof(f313,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11
    | ~ spl11_23 ),
    inference(backward_demodulation,[],[f290,f227]) ).

fof(f290,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f276,f289]) ).

fof(f289,plain,
    ( sk_c7 = sk_c3
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f285,f167]) ).

fof(f167,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl11_4 ),
    inference(backward_demodulation,[],[f57,f96]) ).

fof(f96,plain,
    ( sk_c7 = sF9
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f57,plain,
    multiply(sk_c1,sk_c8) = sF9,
    introduced(function_definition,[]) ).

fof(f285,plain,
    ( multiply(sk_c1,sk_c8) = sk_c3
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f165,f281]) ).

fof(f281,plain,
    ( sk_c1 = sk_c2
    | ~ spl11_7
    | ~ spl11_9
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f274,f280]) ).

fof(f280,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl11_7
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f262,f164]) ).

fof(f262,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl11_9 ),
    inference(superposition,[],[f242,f172]) ).

fof(f172,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl11_9 ),
    inference(superposition,[],[f2,f168]) ).

fof(f168,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f52,f122]) ).

fof(f122,plain,
    ( sk_c8 = sF8
    | ~ spl11_9 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f52,plain,
    inverse(sk_c1) = sF8,
    introduced(function_definition,[]) ).

fof(f274,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f264,f164]) ).

fof(f264,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl11_11 ),
    inference(superposition,[],[f242,f173]) ).

fof(f173,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl11_11 ),
    inference(superposition,[],[f2,f163]) ).

fof(f163,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f44,f140]) ).

fof(f140,plain,
    ( sk_c8 = sF4
    | ~ spl11_11 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f44,plain,
    inverse(sk_c2) = sF4,
    introduced(function_definition,[]) ).

fof(f165,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl11_6 ),
    inference(backward_demodulation,[],[f46,f105]) ).

fof(f105,plain,
    ( sk_c3 = sF5
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f46,plain,
    multiply(sk_c2,sk_c8) = sF5,
    introduced(function_definition,[]) ).

fof(f276,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | ~ spl11_6
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f269,f163]) ).

fof(f269,plain,
    ( sk_c8 = multiply(inverse(sk_c2),sk_c3)
    | ~ spl11_6 ),
    inference(superposition,[],[f242,f165]) ).

fof(f279,plain,
    ( ~ spl11_2
    | ~ spl11_6
    | ~ spl11_11
    | spl11_23 ),
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_6
    | ~ spl11_11
    | spl11_23 ),
    inference(subsumption_resolution,[],[f277,f228]) ).

fof(f277,plain,
    ( sk_c8 = sk_c7
    | ~ spl11_2
    | ~ spl11_6
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f166,f276]) ).

fof(f166,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl11_2 ),
    inference(backward_demodulation,[],[f38,f86]) ).

fof(f86,plain,
    ( sk_c7 = sF1
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl11_2
  <=> sk_c7 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f38,plain,
    multiply(sk_c8,sk_c3) = sF1,
    introduced(function_definition,[]) ).

fof(f224,plain,
    ( ~ spl11_21
    | ~ spl11_22
    | ~ spl11_13 ),
    inference(avatar_split_clause,[],[f209,f157,f221,f217]) ).

fof(f157,plain,
    ( spl11_13
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).

fof(f209,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(inverse(sk_c7))
    | ~ spl11_13 ),
    inference(superposition,[],[f158,f2]) ).

fof(f158,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl11_13 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f215,plain,
    ( ~ spl11_1
    | ~ spl11_20
    | ~ spl11_13 ),
    inference(avatar_split_clause,[],[f210,f157,f212,f80]) ).

fof(f210,plain,
    ( sk_c8 != inverse(sk_c4)
    | sk_c8 != sF3
    | ~ spl11_13 ),
    inference(superposition,[],[f158,f42]) ).

fof(f206,plain,
    ( ~ spl11_18
    | ~ spl11_19
    | ~ spl11_12 ),
    inference(avatar_split_clause,[],[f174,f154,f203,f199]) ).

fof(f154,plain,
    ( spl11_12
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

fof(f174,plain,
    ( sk_c8 != inverse(identity)
    | sk_c7 != multiply(sk_c8,sk_c8)
    | ~ spl11_12 ),
    inference(superposition,[],[f155,f1]) ).

fof(f155,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != inverse(X5) )
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f187,plain,
    ( ~ spl11_5
    | ~ spl11_15
    | ~ spl11_12 ),
    inference(avatar_split_clause,[],[f182,f154,f184,f99]) ).

fof(f182,plain,
    ( sk_c7 != multiply(sk_c8,sF7)
    | sk_c8 != sF6
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f176,f47]) ).

fof(f176,plain,
    ( sk_c8 != inverse(sk_c5)
    | sk_c7 != multiply(sk_c8,sF7)
    | ~ spl11_12 ),
    inference(superposition,[],[f155,f50]) ).

fof(f181,plain,
    ( ~ spl11_2
    | ~ spl11_6
    | ~ spl11_11
    | ~ spl11_12 ),
    inference(avatar_contradiction_clause,[],[f180]) ).

fof(f180,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_6
    | ~ spl11_11
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f179,f163]) ).

fof(f179,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl11_2
    | ~ spl11_6
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f178,f166]) ).

fof(f178,plain,
    ( sk_c7 != multiply(sk_c8,sk_c3)
    | sk_c8 != inverse(sk_c2)
    | ~ spl11_6
    | ~ spl11_12 ),
    inference(superposition,[],[f155,f165]) ).

fof(f162,plain,
    ( spl11_12
    | ~ spl11_7
    | spl11_13
    | spl11_14
    | spl11_12 ),
    inference(avatar_split_clause,[],[f55,f154,f160,f157,f108,f154]) ).

fof(f55,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X6)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X3)
      | sk_c7 != sF2
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X8)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ),
    inference(definition_folding,[],[f36,f40]) ).

fof(f36,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | inverse(sk_c8) != sk_c7
      | sk_c8 != inverse(X8)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X3,X8,X6,X7,X5] :
      ( multiply(X8,sk_c8) != X7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | inverse(sk_c8) != sk_c7
      | sk_c8 != inverse(X8)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( multiply(X5,sk_c8) != X4
      | multiply(X8,sk_c8) != X7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c7 != multiply(sk_c8,X4)
      | inverse(sk_c8) != sk_c7
      | sk_c8 != inverse(X8)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f152,plain,
    ( spl11_5
    | spl11_9 ),
    inference(avatar_split_clause,[],[f77,f120,f99]) ).

fof(f77,plain,
    ( sk_c8 = sF8
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f18,f52,f47]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f151,plain,
    ( spl11_4
    | spl11_8 ),
    inference(avatar_split_clause,[],[f63,f115,f94]) ).

fof(f63,plain,
    ( sk_c7 = sF10
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f11,f57,f59]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f150,plain,
    ( spl11_9
    | spl11_3 ),
    inference(avatar_split_clause,[],[f53,f89,f120]) ).

fof(f53,plain,
    ( sk_c6 = sF7
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f17,f52,f50]) ).

fof(f17,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f149,plain,
    ( spl11_11
    | spl11_1 ),
    inference(avatar_split_clause,[],[f70,f80,f138]) ).

fof(f70,plain,
    ( sk_c8 = sF3
    | sk_c8 = sF4 ),
    inference(definition_folding,[],[f30,f42,f44]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f148,plain,
    ( spl11_7
    | spl11_3 ),
    inference(avatar_split_clause,[],[f51,f89,f108]) ).

fof(f51,plain,
    ( sk_c6 = sF7
    | sk_c7 = sF2 ),
    inference(definition_folding,[],[f7,f40,f50]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f147,plain,
    ( spl11_9
    | spl11_10 ),
    inference(avatar_split_clause,[],[f61,f125,f120]) ).

fof(f61,plain,
    ( sk_c8 = sF0
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f14,f52,f37]) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f146,plain,
    ( spl11_6
    | spl11_8 ),
    inference(avatar_split_clause,[],[f68,f115,f103]) ).

fof(f68,plain,
    ( sk_c7 = sF10
    | sk_c3 = sF5 ),
    inference(definition_folding,[],[f26,f46,f59]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f145,plain,
    ( spl11_11
    | spl11_3 ),
    inference(avatar_split_clause,[],[f75,f89,f138]) ).

fof(f75,plain,
    ( sk_c6 = sF7
    | sk_c8 = sF4 ),
    inference(definition_folding,[],[f32,f50,f44]) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f143,plain,
    ( spl11_8
    | spl11_11 ),
    inference(avatar_split_clause,[],[f60,f138,f115]) ).

fof(f60,plain,
    ( sk_c8 = sF4
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f31,f59,f44]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f142,plain,
    ( spl11_11
    | spl11_10 ),
    inference(avatar_split_clause,[],[f45,f125,f138]) ).

fof(f45,plain,
    ( sk_c8 = sF0
    | sk_c8 = sF4 ),
    inference(definition_folding,[],[f29,f37,f44]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f141,plain,
    ( spl11_11
    | spl11_5 ),
    inference(avatar_split_clause,[],[f67,f99,f138]) ).

fof(f67,plain,
    ( sk_c8 = sF6
    | sk_c8 = sF4 ),
    inference(definition_folding,[],[f33,f44,f47]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f136,plain,
    ( spl11_5
    | spl11_4 ),
    inference(avatar_split_clause,[],[f72,f94,f99]) ).

fof(f72,plain,
    ( sk_c7 = sF9
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f13,f57,f47]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f135,plain,
    ( spl11_9
    | spl11_1 ),
    inference(avatar_split_clause,[],[f54,f80,f120]) ).

fof(f54,plain,
    ( sk_c8 = sF3
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f15,f52,f42]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f134,plain,
    ( spl11_7
    | spl11_5 ),
    inference(avatar_split_clause,[],[f71,f99,f108]) ).

fof(f71,plain,
    ( sk_c8 = sF6
    | sk_c7 = sF2 ),
    inference(definition_folding,[],[f8,f40,f47]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f133,plain,
    ( spl11_10
    | spl11_7 ),
    inference(avatar_split_clause,[],[f41,f108,f125]) ).

fof(f41,plain,
    ( sk_c7 = sF2
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f4,f40,f37]) ).

fof(f4,axiom,
    ( sk_c8 = inverse(sk_c4)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f132,plain,
    ( spl11_4
    | spl11_1 ),
    inference(avatar_split_clause,[],[f78,f80,f94]) ).

fof(f78,plain,
    ( sk_c8 = sF3
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f10,f57,f42]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f131,plain,
    ( spl11_10
    | spl11_6 ),
    inference(avatar_split_clause,[],[f49,f103,f125]) ).

fof(f49,plain,
    ( sk_c3 = sF5
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f24,f37,f46]) ).

fof(f24,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f130,plain,
    ( spl11_8
    | spl11_7 ),
    inference(avatar_split_clause,[],[f74,f108,f115]) ).

fof(f74,plain,
    ( sk_c7 = sF2
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f6,f40,f59]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f129,plain,
    ( spl11_6
    | spl11_1 ),
    inference(avatar_split_clause,[],[f66,f80,f103]) ).

fof(f66,plain,
    ( sk_c8 = sF3
    | sk_c3 = sF5 ),
    inference(definition_folding,[],[f25,f42,f46]) ).

fof(f25,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f128,plain,
    ( spl11_10
    | spl11_4 ),
    inference(avatar_split_clause,[],[f58,f94,f125]) ).

fof(f58,plain,
    ( sk_c7 = sF9
    | sk_c8 = sF0 ),
    inference(definition_folding,[],[f9,f57,f37]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f123,plain,
    ( spl11_9
    | spl11_8 ),
    inference(avatar_split_clause,[],[f76,f115,f120]) ).

fof(f76,plain,
    ( sk_c7 = sF10
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f16,f52,f59]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f118,plain,
    ( spl11_2
    | spl11_8 ),
    inference(avatar_split_clause,[],[f69,f115,f84]) ).

fof(f69,plain,
    ( sk_c7 = sF10
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f21,f38,f59]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f113,plain,
    ( spl11_2
    | spl11_5 ),
    inference(avatar_split_clause,[],[f62,f99,f84]) ).

fof(f62,plain,
    ( sk_c8 = sF6
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f23,f38,f47]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f112,plain,
    ( spl11_3
    | spl11_6 ),
    inference(avatar_split_clause,[],[f73,f103,f89]) ).

fof(f73,plain,
    ( sk_c3 = sF5
    | sk_c6 = sF7 ),
    inference(definition_folding,[],[f27,f50,f46]) ).

fof(f27,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f111,plain,
    ( spl11_1
    | spl11_7 ),
    inference(avatar_split_clause,[],[f43,f108,f80]) ).

fof(f43,plain,
    ( sk_c7 = sF2
    | sk_c8 = sF3 ),
    inference(definition_folding,[],[f5,f40,f42]) ).

fof(f5,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f106,plain,
    ( spl11_5
    | spl11_6 ),
    inference(avatar_split_clause,[],[f48,f103,f99]) ).

fof(f48,plain,
    ( sk_c3 = sF5
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f28,f47,f46]) ).

fof(f28,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f97,plain,
    ( spl11_4
    | spl11_3 ),
    inference(avatar_split_clause,[],[f64,f89,f94]) ).

fof(f64,plain,
    ( sk_c6 = sF7
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f12,f50,f57]) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f92,plain,
    ( spl11_2
    | spl11_3 ),
    inference(avatar_split_clause,[],[f56,f89,f84]) ).

fof(f56,plain,
    ( sk_c6 = sF7
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f22,f38,f50]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : GRP233-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:22:56 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (8403)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)
% 0.18/0.47  % (8399)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.47  % (8412)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)
% 0.18/0.48  % (8412)Instruction limit reached!
% 0.18/0.48  % (8412)------------------------------
% 0.18/0.48  % (8412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (8412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (8412)Termination reason: Unknown
% 0.18/0.48  % (8412)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (8412)Memory used [KB]: 6012
% 0.18/0.48  % (8412)Time elapsed: 0.098 s
% 0.18/0.48  % (8412)Instructions burned: 5 (million)
% 0.18/0.48  % (8412)------------------------------
% 0.18/0.48  % (8412)------------------------------
% 0.18/0.48  % (8429)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)
% 0.18/0.48  % (8411)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)
% 0.18/0.48  % (8405)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)
% 0.18/0.49  % (8404)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49  % (8419)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)
% 0.18/0.50  % (8419)Instruction limit reached!
% 0.18/0.50  % (8419)------------------------------
% 0.18/0.50  % (8419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (8429)Instruction limit reached!
% 0.18/0.50  % (8429)------------------------------
% 0.18/0.50  % (8429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (8429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (8429)Termination reason: Unknown
% 0.18/0.50  % (8429)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (8429)Memory used [KB]: 6268
% 0.18/0.50  % (8429)Time elapsed: 0.108 s
% 0.18/0.50  % (8429)Instructions burned: 20 (million)
% 0.18/0.50  % (8429)------------------------------
% 0.18/0.50  % (8429)------------------------------
% 0.18/0.50  % (8402)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)
% 0.18/0.51  % (8403)Instruction limit reached!
% 0.18/0.51  % (8403)------------------------------
% 0.18/0.51  % (8403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (8403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (8403)Termination reason: Unknown
% 0.18/0.51  % (8403)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (8403)Memory used [KB]: 6524
% 0.18/0.51  % (8403)Time elapsed: 0.125 s
% 0.18/0.51  % (8403)Instructions burned: 34 (million)
% 0.18/0.51  % (8403)------------------------------
% 0.18/0.51  % (8403)------------------------------
% 0.18/0.51  % (8430)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)
% 0.18/0.51  % (8415)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)
% 0.18/0.51  % (8401)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)
% 0.18/0.51  % (8401)Instruction limit reached!
% 0.18/0.51  % (8401)------------------------------
% 0.18/0.51  % (8401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (8401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (8401)Termination reason: Unknown
% 0.18/0.51  % (8401)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (8401)Memory used [KB]: 5884
% 0.18/0.51  % (8401)Time elapsed: 0.003 s
% 0.18/0.51  % (8401)Instructions burned: 4 (million)
% 0.18/0.51  % (8401)------------------------------
% 0.18/0.51  % (8401)------------------------------
% 0.18/0.51  % (8399)First to succeed.
% 0.18/0.51  % (8419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (8419)Termination reason: Unknown
% 0.18/0.51  % (8419)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (8419)Memory used [KB]: 6012
% 0.18/0.51  % (8419)Time elapsed: 0.107 s
% 0.18/0.51  % (8419)Instructions burned: 8 (million)
% 0.18/0.51  % (8419)------------------------------
% 0.18/0.51  % (8419)------------------------------
% 0.18/0.51  % (8410)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.51  % (8428)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)
% 0.18/0.52  % (8426)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)
% 0.18/0.52  % (8399)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (8399)------------------------------
% 0.18/0.52  % (8399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (8399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (8399)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (8399)Memory used [KB]: 6268
% 0.18/0.52  % (8399)Time elapsed: 0.106 s
% 0.18/0.52  % (8399)Instructions burned: 23 (million)
% 0.18/0.52  % (8399)------------------------------
% 0.18/0.52  % (8399)------------------------------
% 0.18/0.52  % (8393)Success in time 0.175 s
%------------------------------------------------------------------------------