%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP363-1 : 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 : n014.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 16:15:32 EDT 2022

% Result   : Unsatisfiable 1.84s 0.61s
% Output   : Refutation 1.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  243 (  22 unt;   0 def)
%            Number of atoms       :  876 ( 302 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1224 ( 591   ~; 620   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  14 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f543,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f82,f87,f96,f101,f106,f107,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f131,f132,f133,f134,f135,f136,f137,f138,f275,f299,f322,f355,f369,f503,f518,f531,f541]) ).

fof(f541,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | spl10_10 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f540,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | spl10_10 ),
    inference(subsumption_resolution,[],[f539,f536]) ).

fof(f536,plain,
    ( identity != sF7
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | spl10_10 ),
    inference(forward_demodulation,[],[f110,f387]) ).

fof(f387,plain,
    ( identity = sk_c5
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f386,f375]) ).

fof(f375,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f145,f100]) ).

fof(f100,plain,
    ( sk_c5 = sF6
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl10_8
  <=> sk_c5 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f145,plain,
    identity = multiply(sF6,sk_c6),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    inverse(sk_c6) = sF6,
    introduced(function_definition,[]) ).

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

fof(f386,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f377,f385]) ).

fof(f385,plain,
    ( sk_c6 = sF4
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f36,f380]) ).

fof(f380,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f374,f77]) ).

fof(f77,plain,
    ( sk_c6 = sF0
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl10_3
  <=> sk_c6 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f374,plain,
    ( sk_c6 = multiply(sF0,sk_c5)
    | ~ spl10_1 ),
    inference(forward_demodulation,[],[f188,f68]) ).

fof(f68,plain,
    ( sk_c5 = sF2
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl10_1
  <=> sk_c5 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f188,plain,
    sk_c6 = multiply(sF0,sF2),
    inference(forward_demodulation,[],[f183,f30]) ).

fof(f30,plain,
    inverse(sk_c1) = sF0,
    introduced(function_definition,[]) ).

fof(f183,plain,
    sk_c6 = multiply(inverse(sk_c1),sF2),
    inference(superposition,[],[f166,f33]) ).

fof(f33,plain,
    multiply(sk_c1,sk_c6) = sF2,
    introduced(function_definition,[]) ).

fof(f166,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f151,f1]) ).

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

fof(f151,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(f36,plain,
    multiply(sk_c6,sk_c5) = sF4,
    introduced(function_definition,[]) ).

fof(f377,plain,
    ( sk_c5 = multiply(sk_c5,sF4)
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f217,f100]) ).

fof(f217,plain,
    sk_c5 = multiply(sF6,sF4),
    inference(forward_demodulation,[],[f177,f39]) ).

fof(f177,plain,
    sk_c5 = multiply(inverse(sk_c6),sF4),
    inference(superposition,[],[f166,f36]) ).

fof(f110,plain,
    ( sk_c5 != sF7
    | spl10_10 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl10_10
  <=> sk_c5 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f539,plain,
    ( identity = sF7
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f538,f1]) ).

fof(f538,plain,
    ( multiply(identity,identity) = sF7
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f537,f398]) ).

fof(f398,plain,
    ( identity = sk_c6
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f395,f2]) ).

fof(f395,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f378,f387]) ).

fof(f378,plain,
    ( sk_c6 = multiply(inverse(sk_c5),identity)
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f185,f100]) ).

fof(f185,plain,
    sk_c6 = multiply(inverse(sF6),identity),
    inference(superposition,[],[f166,f145]) ).

fof(f537,plain,
    ( multiply(sk_c6,identity) = sF7
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f41,f447]) ).

fof(f447,plain,
    ( identity = sk_c7
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f91,f413]) ).

fof(f413,plain,
    ( identity = sF4
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f385,f398]) ).

fof(f91,plain,
    ( sk_c7 = sF4
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl10_6
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f41,plain,
    multiply(sk_c6,sk_c7) = sF7,
    introduced(function_definition,[]) ).

fof(f531,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(avatar_contradiction_clause,[],[f530]) ).

fof(f530,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f529,f424]) ).

fof(f424,plain,
    ( identity = inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f394,f398]) ).

fof(f394,plain,
    ( identity = inverse(sk_c6)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f376,f387]) ).

fof(f376,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl10_8 ),
    inference(backward_demodulation,[],[f39,f100]) ).

fof(f529,plain,
    ( identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f528,f424]) ).

fof(f528,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f524,f1]) ).

fof(f524,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(superposition,[],[f521,f2]) ).

fof(f521,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f520,f447]) ).

fof(f520,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | sk_c7 != inverse(X6) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f519,f398]) ).

fof(f519,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | sk_c7 != inverse(X6) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f124,f447]) ).

fof(f124,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != inverse(X6) )
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl10_11
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

fof(f518,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f517]) ).

fof(f517,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f512,f424]) ).

fof(f512,plain,
    ( identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f507]) ).

fof(f507,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(superposition,[],[f506,f1]) ).

fof(f506,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f505,f387]) ).

fof(f505,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f504,f398]) ).

fof(f504,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,sk_c6)
        | identity != inverse(X3) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f130,f398]) ).

fof(f130,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl10_13
  <=> ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f503,plain,
    ( ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(avatar_contradiction_clause,[],[f502]) ).

fof(f502,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f496,f424]) ).

fof(f496,plain,
    ( identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(trivial_inequality_removal,[],[f492]) ).

fof(f492,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(superposition,[],[f456,f1]) ).

fof(f456,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(backward_demodulation,[],[f416,f447]) ).

fof(f416,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f402,f398]) ).

fof(f402,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | sk_c6 != inverse(X4) )
    | ~ spl10_1
    | ~ spl10_3
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(backward_demodulation,[],[f127,f398]) ).

fof(f127,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl10_12
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f369,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(subsumption_resolution,[],[f363,f257]) ).

fof(f257,plain,
    ( identity = inverse(identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f238,f250]) ).

fof(f250,plain,
    ( identity = sk_c2
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f218,f239]) ).

fof(f239,plain,
    ( identity = multiply(sF6,identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f145,f230]) ).

fof(f230,plain,
    ( identity = sk_c6
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f210,f225]) ).

fof(f225,plain,
    ( ! [X13] : multiply(sk_c6,X13) = X13
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f202,f220]) ).

fof(f220,plain,
    ( ! [X14] : multiply(sk_c2,multiply(sk_c6,X14)) = X14
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f215,f219]) ).

fof(f219,plain,
    ( sk_c2 = sk_c3
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f207,f218]) ).

fof(f207,plain,
    ( sk_c3 = multiply(sF6,identity)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f205,f39]) ).

fof(f205,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f180,f190]) ).

fof(f190,plain,
    ( sk_c6 = sk_c7
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f189,f141]) ).

fof(f141,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl10_5 ),
    inference(backward_demodulation,[],[f34,f86]) ).

fof(f86,plain,
    ( sk_c6 = sF3
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl10_5
  <=> sk_c6 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f34,plain,
    multiply(sk_c7,sk_c4) = sF3,
    introduced(function_definition,[]) ).

fof(f189,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f182,f139]) ).

fof(f139,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f38,f105]) ).

fof(f105,plain,
    ( sk_c7 = sF5
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl10_9
  <=> sk_c7 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f38,plain,
    inverse(sk_c3) = sF5,
    introduced(function_definition,[]) ).

fof(f182,plain,
    ( sk_c7 = multiply(inverse(sk_c3),sk_c4)
    | ~ spl10_7 ),
    inference(superposition,[],[f166,f143]) ).

fof(f143,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl10_7 ),
    inference(backward_demodulation,[],[f48,f95]) ).

fof(f95,plain,
    ( sk_c4 = sF9
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl10_7
  <=> sk_c4 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f48,plain,
    multiply(sk_c3,sk_c7) = sF9,
    introduced(function_definition,[]) ).

fof(f180,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl10_9 ),
    inference(superposition,[],[f166,f147]) ).

fof(f147,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl10_9 ),
    inference(superposition,[],[f2,f139]) ).

fof(f215,plain,
    ( ! [X14] : multiply(sk_c3,multiply(sk_c6,X14)) = X14
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f212,f1]) ).

fof(f212,plain,
    ( ! [X14] : multiply(sk_c3,multiply(sk_c6,X14)) = multiply(identity,X14)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f203,f209]) ).

fof(f209,plain,
    ( identity = sk_c4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f208,f2]) ).

fof(f208,plain,
    ( sk_c4 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f179,f190]) ).

fof(f179,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl10_5 ),
    inference(superposition,[],[f166,f141]) ).

fof(f203,plain,
    ( ! [X14] : multiply(sk_c4,X14) = multiply(sk_c3,multiply(sk_c6,X14))
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f158,f190]) ).

fof(f158,plain,
    ( ! [X14] : multiply(sk_c4,X14) = multiply(sk_c3,multiply(sk_c7,X14))
    | ~ spl10_7 ),
    inference(superposition,[],[f3,f143]) ).

fof(f202,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c6,X13)) = multiply(sk_c6,X13)
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f157,f190]) ).

fof(f157,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c6,X13)) = multiply(sk_c7,X13)
    | ~ spl10_4 ),
    inference(superposition,[],[f3,f140]) ).

fof(f140,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl10_4 ),
    inference(backward_demodulation,[],[f46,f81]) ).

fof(f81,plain,
    ( sk_c7 = sF8
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl10_4
  <=> sk_c7 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f46,plain,
    multiply(sk_c2,sk_c6) = sF8,
    introduced(function_definition,[]) ).

fof(f210,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f196,f209]) ).

fof(f196,plain,
    ( sk_c6 = multiply(sk_c6,sk_c4)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f141,f190]) ).

fof(f218,plain,
    ( sk_c2 = multiply(sF6,identity)
    | ~ spl10_2 ),
    inference(forward_demodulation,[],[f178,f39]) ).

fof(f178,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl10_2 ),
    inference(superposition,[],[f166,f146]) ).

fof(f146,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl10_2 ),
    inference(superposition,[],[f2,f144]) ).

fof(f144,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl10_2 ),
    inference(backward_demodulation,[],[f31,f72]) ).

fof(f72,plain,
    ( sk_c6 = sF1
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl10_2
  <=> sk_c6 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f31,plain,
    inverse(sk_c2) = sF1,
    introduced(function_definition,[]) ).

fof(f238,plain,
    ( identity = inverse(sk_c2)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f144,f230]) ).

fof(f363,plain,
    ( identity != inverse(identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(trivial_inequality_removal,[],[f359]) ).

fof(f359,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(superposition,[],[f358,f1]) ).

fof(f358,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f357,f243]) ).

fof(f243,plain,
    ( identity = sk_c7
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f190,f230]) ).

fof(f357,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c7 != multiply(X4,identity) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f356,f230]) ).

fof(f356,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | identity != inverse(X4) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_12 ),
    inference(forward_demodulation,[],[f127,f230]) ).

fof(f355,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f353,f257]) ).

fof(f353,plain,
    ( identity != inverse(identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f340,f257]) ).

fof(f340,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(trivial_inequality_removal,[],[f338]) ).

fof(f338,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(superposition,[],[f335,f2]) ).

fof(f335,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f334,f230]) ).

fof(f334,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | identity != multiply(X3,identity) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f333,f269]) ).

fof(f269,plain,
    ( identity = sk_c5
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(forward_demodulation,[],[f232,f230]) ).

fof(f232,plain,
    ( sk_c6 = sk_c5
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(backward_demodulation,[],[f197,f225]) ).

fof(f197,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(backward_demodulation,[],[f142,f190]) ).

fof(f142,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl10_10 ),
    inference(backward_demodulation,[],[f41,f111]) ).

fof(f111,plain,
    ( sk_c5 = sF7
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f333,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,identity)
        | sk_c6 != inverse(X3) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_13 ),
    inference(forward_demodulation,[],[f130,f230]) ).

fof(f322,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f320,f257]) ).

fof(f320,plain,
    ( identity != inverse(identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f319,f257]) ).

fof(f319,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(subsumption_resolution,[],[f313,f1]) ).

fof(f313,plain,
    ( identity != inverse(inverse(identity))
    | identity != multiply(identity,identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(superposition,[],[f303,f2]) ).

fof(f303,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f302,f243]) ).

fof(f302,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | sk_c7 != inverse(X6) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f301,f230]) ).

fof(f301,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | sk_c7 != inverse(X6) )
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_11 ),
    inference(forward_demodulation,[],[f124,f243]) ).

fof(f299,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | spl10_8
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | spl10_8
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f297,f269]) ).

fof(f297,plain,
    ( identity != sk_c5
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | spl10_8
    | ~ spl10_9 ),
    inference(forward_demodulation,[],[f99,f258]) ).

fof(f258,plain,
    ( identity = sF6
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f235,f257]) ).

fof(f235,plain,
    ( sF6 = inverse(identity)
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f39,f230]) ).

fof(f99,plain,
    ( sk_c5 != sF6
    | spl10_8 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f275,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f274,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f271,f245]) ).

fof(f245,plain,
    ( identity != sF4
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f192,f230]) ).

fof(f192,plain,
    ( sk_c6 != sF4
    | ~ spl10_5
    | spl10_6
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f90,f190]) ).

fof(f90,plain,
    ( sk_c7 != sF4
    | spl10_6 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f271,plain,
    ( identity = sF4
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9
    | ~ spl10_10 ),
    inference(backward_demodulation,[],[f233,f269]) ).

fof(f233,plain,
    ( sk_c5 = sF4
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_7
    | ~ spl10_9 ),
    inference(backward_demodulation,[],[f36,f225]) ).

fof(f138,plain,
    ( spl10_2
    | spl10_6 ),
    inference(avatar_split_clause,[],[f37,f89,f70]) ).

fof(f37,plain,
    ( sk_c7 = sF4
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f6,f36,f31]) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c2)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f137,plain,
    ( spl10_1
    | spl10_4 ),
    inference(avatar_split_clause,[],[f59,f79,f66]) ).

fof(f59,plain,
    ( sk_c7 = sF8
    | sk_c5 = sF2 ),
    inference(definition_folding,[],[f17,f46,f33]) ).

fof(f17,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f136,plain,
    ( spl10_10
    | spl10_8 ),
    inference(avatar_split_clause,[],[f53,f98,f109]) ).

fof(f53,plain,
    ( sk_c5 = sF6
    | sk_c5 = sF7 ),
    inference(definition_folding,[],[f10,f41,f39]) ).

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

fof(f135,plain,
    ( spl10_7
    | spl10_1 ),
    inference(avatar_split_clause,[],[f62,f66,f93]) ).

fof(f62,plain,
    ( sk_c5 = sF2
    | sk_c4 = sF9 ),
    inference(definition_folding,[],[f20,f48,f33]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f134,plain,
    ( spl10_6
    | spl10_4 ),
    inference(avatar_split_clause,[],[f47,f79,f89]) ).

fof(f47,plain,
    ( sk_c7 = sF8
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f5,f36,f46]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f133,plain,
    ( spl10_8
    | spl10_5 ),
    inference(avatar_split_clause,[],[f44,f84,f98]) ).

fof(f44,plain,
    ( sk_c6 = sF3
    | sk_c5 = sF6 ),
    inference(definition_folding,[],[f13,f34,f39]) ).

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

fof(f132,plain,
    ( spl10_3
    | spl10_7 ),
    inference(avatar_split_clause,[],[f61,f93,f75]) ).

fof(f61,plain,
    ( sk_c4 = sF9
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f26,f48,f30]) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f131,plain,
    ( ~ spl10_10
    | spl10_11
    | ~ spl10_8
    | spl10_12
    | ~ spl10_6
    | spl10_13 ),
    inference(avatar_split_clause,[],[f55,f129,f89,f126,f98,f123,f109]) ).

fof(f55,plain,
    ! [X3,X6,X4] :
      ( sk_c6 != inverse(X3)
      | sk_c7 != sF4
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c5 != sF6
      | sk_c7 != inverse(X6)
      | sk_c5 != sF7
      | sk_c6 != inverse(X4)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ),
    inference(definition_folding,[],[f29,f36,f39,f41]) ).

fof(f29,plain,
    ! [X3,X6,X4] :
      ( sk_c5 != multiply(X3,sk_c6)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != inverse(sk_c6)
      | sk_c6 != inverse(X3)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X6)
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X3,sk_c6)
      | sk_c6 != multiply(sk_c7,X5)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != inverse(sk_c6)
      | sk_c6 != inverse(X3)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X6)
      | multiply(sk_c6,sk_c5) != sk_c7
      | multiply(X6,sk_c7) != X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f121,plain,
    ( spl10_10
    | spl10_1 ),
    inference(avatar_split_clause,[],[f64,f66,f109]) ).

fof(f64,plain,
    ( sk_c5 = sF2
    | sk_c5 = sF7 ),
    inference(definition_folding,[],[f16,f33,f41]) ).

fof(f16,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f120,plain,
    ( spl10_9
    | spl10_3 ),
    inference(avatar_split_clause,[],[f63,f75,f103]) ).

fof(f63,plain,
    ( sk_c6 = sF0
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f27,f38,f30]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f119,plain,
    ( spl10_9
    | spl10_8 ),
    inference(avatar_split_clause,[],[f40,f98,f103]) ).

fof(f40,plain,
    ( sk_c5 = sF6
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f15,f39,f38]) ).

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

fof(f118,plain,
    ( spl10_3
    | spl10_5 ),
    inference(avatar_split_clause,[],[f56,f84,f75]) ).

fof(f56,plain,
    ( sk_c6 = sF3
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f25,f30,f34]) ).

fof(f25,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f117,plain,
    ( spl10_6
    | spl10_5 ),
    inference(avatar_split_clause,[],[f50,f84,f89]) ).

fof(f50,plain,
    ( sk_c6 = sF3
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f7,f34,f36]) ).

fof(f7,axiom,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f116,plain,
    ( spl10_9
    | spl10_1 ),
    inference(avatar_split_clause,[],[f43,f66,f103]) ).

fof(f43,plain,
    ( sk_c5 = sF2
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f21,f38,f33]) ).

fof(f21,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f115,plain,
    ( spl10_6
    | spl10_10 ),
    inference(avatar_split_clause,[],[f42,f109,f89]) ).

fof(f42,plain,
    ( sk_c5 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f4,f36,f41]) ).

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

fof(f114,plain,
    ( spl10_8
    | spl10_7 ),
    inference(avatar_split_clause,[],[f52,f93,f98]) ).

fof(f52,plain,
    ( sk_c4 = sF9
    | sk_c5 = sF6 ),
    inference(definition_folding,[],[f14,f48,f39]) ).

fof(f14,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f113,plain,
    ( spl10_8
    | spl10_4 ),
    inference(avatar_split_clause,[],[f58,f79,f98]) ).

fof(f58,plain,
    ( sk_c7 = sF8
    | sk_c5 = sF6 ),
    inference(definition_folding,[],[f11,f39,f46]) ).

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

fof(f112,plain,
    ( spl10_3
    | spl10_10 ),
    inference(avatar_split_clause,[],[f45,f109,f75]) ).

fof(f45,plain,
    ( sk_c5 = sF7
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f22,f41,f30]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f107,plain,
    ( spl10_3
    | spl10_2 ),
    inference(avatar_split_clause,[],[f32,f70,f75]) ).

fof(f32,plain,
    ( sk_c6 = sF1
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f24,f31,f30]) ).

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f106,plain,
    ( spl10_6
    | spl10_9 ),
    inference(avatar_split_clause,[],[f51,f103,f89]) ).

fof(f51,plain,
    ( sk_c7 = sF5
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f9,f36,f38]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f101,plain,
    ( spl10_2
    | spl10_8 ),
    inference(avatar_split_clause,[],[f54,f98,f70]) ).

fof(f54,plain,
    ( sk_c5 = sF6
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f12,f31,f39]) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f96,plain,
    ( spl10_6
    | spl10_7 ),
    inference(avatar_split_clause,[],[f49,f93,f89]) ).

fof(f49,plain,
    ( sk_c4 = sF9
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f8,f36,f48]) ).

fof(f8,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f87,plain,
    ( spl10_5
    | spl10_1 ),
    inference(avatar_split_clause,[],[f35,f66,f84]) ).

fof(f35,plain,
    ( sk_c5 = sF2
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f19,f34,f33]) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f82,plain,
    ( spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f60,f79,f75]) ).

fof(f60,plain,
    ( sk_c7 = sF8
    | sk_c6 = sF0 ),
    inference(definition_folding,[],[f23,f30,f46]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f73,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f57,f70,f66]) ).

fof(f57,plain,
    ( sk_c6 = sF1
    | sk_c5 = sF2 ),
    inference(definition_folding,[],[f18,f31,f33]) ).

fof(f18,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP363-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:27:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.56  % (16628)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)
% 0.20/0.57  % (16625)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.42/0.58  % (16636)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)
% 1.42/0.58  % (16628)Refutation not found, incomplete strategy% (16628)------------------------------
% 1.42/0.58  % (16628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (16628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58  % (16628)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.58  
% 1.42/0.58  % (16628)Memory used [KB]: 5884
% 1.42/0.58  % (16628)Time elapsed: 0.143 s
% 1.42/0.58  % (16628)Instructions burned: 4 (million)
% 1.42/0.58  % (16628)------------------------------
% 1.42/0.58  % (16628)------------------------------
% 1.42/0.58  % (16652)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)
% 1.42/0.59  % (16645)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)
% 1.42/0.59  % (16653)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)
% 1.84/0.59  % (16653)Refutation not found, incomplete strategy% (16653)------------------------------
% 1.84/0.59  % (16653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59  % (16653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59  % (16653)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.59  
% 1.84/0.59  % (16653)Memory used [KB]: 5884
% 1.84/0.59  % (16653)Time elapsed: 0.150 s
% 1.84/0.59  % (16653)Instructions burned: 4 (million)
% 1.84/0.59  % (16653)------------------------------
% 1.84/0.59  % (16653)------------------------------
% 1.84/0.59  % (16640)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)
% 1.84/0.59  % (16645)Instruction limit reached!
% 1.84/0.59  % (16645)------------------------------
% 1.84/0.59  % (16645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59  % (16645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59  % (16645)Termination reason: Unknown
% 1.84/0.59  % (16645)Termination phase: Saturation
% 1.84/0.59  
% 1.84/0.59  % (16645)Memory used [KB]: 1407
% 1.84/0.59  % (16645)Time elapsed: 0.155 s
% 1.84/0.60  % (16645)Instructions burned: 6 (million)
% 1.84/0.60  % (16645)------------------------------
% 1.84/0.60  % (16645)------------------------------
% 1.84/0.60  TRYING [1]
% 1.84/0.60  % (16643)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)
% 1.84/0.60  % (16640)Instruction limit reached!
% 1.84/0.60  % (16640)------------------------------
% 1.84/0.60  % (16640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60  % (16640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60  % (16640)Termination reason: Unknown
% 1.84/0.60  % (16640)Termination phase: Finite model building SAT solving
% 1.84/0.60  
% 1.84/0.60  % (16640)Memory used [KB]: 6012
% 1.84/0.60  % (16640)Time elapsed: 0.098 s
% 1.84/0.60  % (16640)Instructions burned: 7 (million)
% 1.84/0.60  % (16640)------------------------------
% 1.84/0.60  % (16640)------------------------------
% 1.84/0.60  % (16632)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)
% 1.84/0.60  % (16629)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)
% 1.84/0.60  % (16636)Instruction limit reached!
% 1.84/0.60  % (16636)------------------------------
% 1.84/0.60  % (16636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60  % (16625)First to succeed.
% 1.84/0.60  % (16636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60  % (16636)Termination reason: Unknown
% 1.84/0.60  % (16636)Termination phase: Saturation
% 1.84/0.60  
% 1.84/0.60  % (16636)Memory used [KB]: 6268
% 1.84/0.60  % (16636)Time elapsed: 0.174 s
% 1.84/0.60  % (16636)Instructions burned: 23 (million)
% 1.84/0.60  % (16636)------------------------------
% 1.84/0.60  % (16636)------------------------------
% 1.84/0.61  % (16638)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)
% 1.84/0.61  % (16638)Instruction limit reached!
% 1.84/0.61  % (16638)------------------------------
% 1.84/0.61  % (16638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61  % (16638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61  % (16638)Termination reason: Unknown
% 1.84/0.61  % (16638)Termination phase: Saturation
% 1.84/0.61  
% 1.84/0.61  % (16638)Memory used [KB]: 5884
% 1.84/0.61  % (16638)Time elapsed: 0.004 s
% 1.84/0.61  % (16638)Instructions burned: 3 (million)
% 1.84/0.61  % (16638)------------------------------
% 1.84/0.61  % (16638)------------------------------
% 1.84/0.61  % (16625)Refutation found. Thanks to Tanya!
% 1.84/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.84/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.61  % (16625)------------------------------
% 1.84/0.61  % (16625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61  % (16625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61  % (16625)Termination reason: Refutation
% 1.84/0.61  
% 1.84/0.61  % (16625)Memory used [KB]: 6140
% 1.84/0.61  % (16625)Time elapsed: 0.154 s
% 1.84/0.61  % (16625)Instructions burned: 16 (million)
% 1.84/0.61  % (16625)------------------------------
% 1.84/0.61  % (16625)------------------------------
% 1.84/0.61  % (16624)Success in time 0.246 s
%------------------------------------------------------------------------------