TSTP Solution File: GRP257-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP257-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:21:03 EDT 2022

% Result   : Unsatisfiable 1.71s 0.74s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  222 (   6 unt;   0 def)
%            Number of atoms       :  707 ( 272 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  939 ( 454   ~; 456   |;   0   &)
%                                         (  29 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  30 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   70 (  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f569,plain,
    $false,
    inference(avatar_sat_refutation,[],[f66,f75,f80,f89,f94,f99,f104,f105,f113,f114,f115,f120,f122,f123,f128,f133,f134,f135,f136,f137,f138,f140,f141,f142,f150,f151,f152,f169,f170,f171,f174,f178,f180,f182,f187,f190,f191,f192,f320,f348,f363,f415,f442,f444,f463,f465,f487,f548,f552,f564,f568]) ).

fof(f568,plain,
    ( ~ spl5_4
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f567]) ).

fof(f567,plain,
    ( $false
    | ~ spl5_4
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f560,f500]) ).

fof(f500,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
    | ~ spl5_4
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f230,f202]) ).

fof(f202,plain,
    ( sk_c9 = sk_c8
    | ~ spl5_24 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl5_24
  <=> sk_c9 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).

fof(f230,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f229,f1]) ).

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

fof(f229,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl5_4 ),
    inference(superposition,[],[f3,f194]) ).

fof(f194,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl5_4 ),
    inference(superposition,[],[f2,f74]) ).

fof(f74,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl5_4
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

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

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(f560,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c3,sk_c9))
    | ~ spl5_4
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f559]) ).

fof(f559,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c3,sk_c9))
    | sk_c9 != sk_c9
    | ~ spl5_4
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(superposition,[],[f554,f489]) ).

fof(f489,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl5_4
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f74,f202]) ).

fof(f554,plain,
    ( ! [X9] :
        ( sk_c9 != inverse(X9)
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9)) )
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f553,f202]) ).

fof(f553,plain,
    ( ! [X9] :
        ( sk_c8 != inverse(X9)
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9)) )
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f149,f202]) ).

fof(f149,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
        | sk_c8 != inverse(X9) )
    | ~ spl5_17 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl5_17
  <=> ! [X9] :
        ( sk_c8 != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f564,plain,
    ( ~ spl5_9
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f563]) ).

fof(f563,plain,
    ( $false
    | ~ spl5_9
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f562,f504]) ).

fof(f504,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl5_9
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f470,f202]) ).

fof(f470,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl5_9 ),
    inference(superposition,[],[f228,f98]) ).

fof(f98,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl5_9
  <=> sk_c8 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f228,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f220,f1]) ).

fof(f220,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

fof(f562,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
    | ~ spl5_9
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f558]) ).

fof(f558,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
    | sk_c9 != sk_c9
    | ~ spl5_9
    | ~ spl5_17
    | ~ spl5_24 ),
    inference(superposition,[],[f554,f492]) ).

fof(f492,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl5_9
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f98,f202]) ).

fof(f552,plain,
    ( ~ spl5_4
    | ~ spl5_8
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f551]) ).

fof(f551,plain,
    ( $false
    | ~ spl5_4
    | ~ spl5_8
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f544,f491]) ).

fof(f491,plain,
    ( sk_c9 = multiply(sk_c3,sk_c9)
    | ~ spl5_8
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f93,f202]) ).

fof(f93,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl5_8
  <=> sk_c8 = multiply(sk_c3,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f544,plain,
    ( sk_c9 != multiply(sk_c3,sk_c9)
    | ~ spl5_4
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f543]) ).

fof(f543,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c3,sk_c9)
    | ~ spl5_4
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(superposition,[],[f511,f489]) ).

fof(f511,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c9 != multiply(X5,sk_c9) )
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f496,f202]) ).

fof(f496,plain,
    ( ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9) )
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f164,f202]) ).

fof(f164,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != inverse(X5) )
    | ~ spl5_20 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl5_20
  <=> ! [X5] :
        ( sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).

fof(f548,plain,
    ( ~ spl5_10
    | ~ spl5_15
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f547]) ).

fof(f547,plain,
    ( $false
    | ~ spl5_10
    | ~ spl5_15
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f546,f495]) ).

fof(f495,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl5_15
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f132,f202]) ).

fof(f132,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl5_15 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl5_15
  <=> sk_c9 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).

fof(f546,plain,
    ( sk_c9 != multiply(sk_c5,sk_c9)
    | ~ spl5_10
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f541]) ).

fof(f541,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c5,sk_c9)
    | ~ spl5_10
    | ~ spl5_20
    | ~ spl5_24 ),
    inference(superposition,[],[f511,f493]) ).

fof(f493,plain,
    ( sk_c9 = inverse(sk_c5)
    | ~ spl5_10
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f103,f202]) ).

fof(f103,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl5_10
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f487,plain,
    ( spl5_24
    | ~ spl5_3
    | ~ spl5_9
    | ~ spl5_14 ),
    inference(avatar_split_clause,[],[f484,f125,f96,f68,f201]) ).

fof(f68,plain,
    ( spl5_3
  <=> sk_c9 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f125,plain,
    ( spl5_14
  <=> sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).

fof(f484,plain,
    ( sk_c9 = sk_c8
    | ~ spl5_3
    | ~ spl5_9
    | ~ spl5_14 ),
    inference(forward_demodulation,[],[f483,f70]) ).

fof(f70,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f483,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl5_9
    | ~ spl5_14 ),
    inference(forward_demodulation,[],[f481,f98]) ).

fof(f481,plain,
    ( sk_c8 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl5_14 ),
    inference(superposition,[],[f228,f127]) ).

fof(f127,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl5_14 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f465,plain,
    ( ~ spl5_10
    | ~ spl5_11
    | ~ spl5_15
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f464]) ).

fof(f464,plain,
    ( $false
    | ~ spl5_10
    | ~ spl5_11
    | ~ spl5_15
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f460,f374]) ).

fof(f374,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl5_15
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f132,f202]) ).

fof(f460,plain,
    ( sk_c9 != multiply(sk_c5,sk_c9)
    | ~ spl5_10
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f456]) ).

fof(f456,plain,
    ( sk_c9 != multiply(sk_c5,sk_c9)
    | sk_c9 != sk_c9
    | ~ spl5_10
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(superposition,[],[f451,f370]) ).

fof(f370,plain,
    ( sk_c9 = inverse(sk_c5)
    | ~ spl5_10
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f103,f202]) ).

fof(f451,plain,
    ( ! [X7] :
        ( sk_c9 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c9) )
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f450,f202]) ).

fof(f450,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(X7,sk_c8)
        | sk_c9 != inverse(X7) )
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f108,f202]) ).

fof(f108,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c8) )
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl5_11
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f463,plain,
    ( ~ spl5_4
    | ~ spl5_8
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | ~ spl5_4
    | ~ spl5_8
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f461,f378]) ).

fof(f378,plain,
    ( sk_c9 = multiply(sk_c3,sk_c9)
    | ~ spl5_8
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f93,f202]) ).

fof(f461,plain,
    ( sk_c9 != multiply(sk_c3,sk_c9)
    | ~ spl5_4
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f458]) ).

fof(f458,plain,
    ( sk_c9 != multiply(sk_c3,sk_c9)
    | sk_c9 != sk_c9
    | ~ spl5_4
    | ~ spl5_11
    | ~ spl5_24 ),
    inference(superposition,[],[f451,f373]) ).

fof(f373,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl5_4
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f74,f202]) ).

fof(f444,plain,
    ( ~ spl5_5
    | ~ spl5_13
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | ~ spl5_5
    | ~ spl5_13
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f439,f367]) ).

fof(f367,plain,
    ( sk_c9 = multiply(sk_c2,sk_c9)
    | ~ spl5_5
    | ~ spl5_24 ),
    inference(backward_demodulation,[],[f79,f202]) ).

fof(f79,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl5_5
  <=> sk_c8 = multiply(sk_c2,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f439,plain,
    ( sk_c9 != multiply(sk_c2,sk_c9)
    | ~ spl5_13
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f435]) ).

fof(f435,plain,
    ( sk_c9 != multiply(sk_c2,sk_c9)
    | sk_c9 != sk_c9
    | ~ spl5_13
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(superposition,[],[f426,f119]) ).

fof(f119,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl5_13 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl5_13
  <=> sk_c9 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).

fof(f426,plain,
    ( ! [X4] :
        ( sk_c9 != inverse(X4)
        | sk_c9 != multiply(X4,sk_c9) )
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(forward_demodulation,[],[f186,f202]) ).

fof(f186,plain,
    ( ! [X4] :
        ( sk_c9 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c9) )
    | ~ spl5_23 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f185,plain,
    ( spl5_23
  <=> ! [X4] :
        ( sk_c9 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).

fof(f442,plain,
    ( ~ spl5_10
    | ~ spl5_15
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl5_10
    | ~ spl5_15
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(subsumption_resolution,[],[f440,f374]) ).

fof(f440,plain,
    ( sk_c9 != multiply(sk_c5,sk_c9)
    | ~ spl5_10
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(trivial_inequality_removal,[],[f433]) ).

fof(f433,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c5,sk_c9)
    | ~ spl5_10
    | ~ spl5_23
    | ~ spl5_24 ),
    inference(superposition,[],[f426,f370]) ).

fof(f415,plain,
    ( ~ spl5_1
    | ~ spl5_6
    | ~ spl5_22 ),
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_6
    | ~ spl5_22 ),
    inference(subsumption_resolution,[],[f413,f84]) ).

fof(f84,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl5_6
  <=> sk_c10 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f413,plain,
    ( sk_c10 != inverse(sk_c4)
    | ~ spl5_1
    | ~ spl5_22 ),
    inference(trivial_inequality_removal,[],[f412]) ).

fof(f412,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c4)
    | ~ spl5_1
    | ~ spl5_22 ),
    inference(superposition,[],[f177,f61]) ).

fof(f61,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl5_1
  <=> sk_c9 = multiply(sk_c4,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f177,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,sk_c10)
        | sk_c10 != inverse(X3) )
    | ~ spl5_22 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl5_22
  <=> ! [X3] :
        ( sk_c10 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).

fof(f363,plain,
    ( ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_6
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_6
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(subsumption_resolution,[],[f361,f357]) ).

fof(f357,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13 ),
    inference(forward_demodulation,[],[f61,f288]) ).

fof(f288,plain,
    ( identity = sk_c9
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13 ),
    inference(forward_demodulation,[],[f273,f1]) ).

fof(f273,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13 ),
    inference(backward_demodulation,[],[f249,f259]) ).

fof(f259,plain,
    ( identity = sk_c8
    | ~ spl5_5
    | ~ spl5_13 ),
    inference(forward_demodulation,[],[f257,f2]) ).

fof(f257,plain,
    ( sk_c8 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl5_5
    | ~ spl5_13 ),
    inference(superposition,[],[f228,f247]) ).

fof(f247,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl5_5
    | ~ spl5_13 ),
    inference(forward_demodulation,[],[f244,f119]) ).

fof(f244,plain,
    ( sk_c9 = multiply(inverse(sk_c2),sk_c8)
    | ~ spl5_5 ),
    inference(superposition,[],[f228,f79]) ).

fof(f249,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl5_4
    | ~ spl5_8 ),
    inference(forward_demodulation,[],[f245,f74]) ).

fof(f245,plain,
    ( sk_c9 = multiply(inverse(sk_c3),sk_c8)
    | ~ spl5_8 ),
    inference(superposition,[],[f228,f93]) ).

fof(f361,plain,
    ( identity != multiply(sk_c4,sk_c10)
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_6
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(trivial_inequality_removal,[],[f358]) ).

fof(f358,plain,
    ( sk_c10 != sk_c10
    | identity != multiply(sk_c4,sk_c10)
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_6
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(superposition,[],[f343,f84]) ).

fof(f343,plain,
    ( ! [X3] :
        ( sk_c10 != inverse(X3)
        | identity != multiply(X3,sk_c10) )
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(forward_demodulation,[],[f177,f288]) ).

fof(f348,plain,
    ( ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_7
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_7
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(subsumption_resolution,[],[f346,f293]) ).

fof(f293,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_7
    | ~ spl5_8
    | ~ spl5_13 ),
    inference(backward_demodulation,[],[f88,f288]) ).

fof(f88,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl5_7
  <=> multiply(sk_c1,sk_c10) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f346,plain,
    ( identity != multiply(sk_c1,sk_c10)
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(trivial_inequality_removal,[],[f344]) ).

fof(f344,plain,
    ( identity != multiply(sk_c1,sk_c10)
    | sk_c10 != sk_c10
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13
    | ~ spl5_22 ),
    inference(superposition,[],[f343,f65]) ).

fof(f65,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl5_2
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f320,plain,
    ( ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13
    | spl5_24 ),
    inference(avatar_contradiction_clause,[],[f319]) ).

fof(f319,plain,
    ( $false
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_8
    | ~ spl5_13
    | spl5_24 ),
    inference(subsumption_resolution,[],[f266,f288]) ).

fof(f266,plain,
    ( identity != sk_c9
    | ~ spl5_5
    | ~ spl5_13
    | spl5_24 ),
    inference(backward_demodulation,[],[f203,f259]) ).

fof(f203,plain,
    ( sk_c9 != sk_c8
    | spl5_24 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f192,plain,
    ( spl5_8
    | spl5_3 ),
    inference(avatar_split_clause,[],[f43,f68,f91]) ).

fof(f43,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f191,plain,
    ( spl5_9
    | spl5_4 ),
    inference(avatar_split_clause,[],[f38,f72,f96]) ).

fof(f38,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f190,plain,
    ( spl5_14
    | spl5_8 ),
    inference(avatar_split_clause,[],[f44,f91,f125]) ).

fof(f44,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f187,plain,
    ( spl5_21
    | spl5_23 ),
    inference(avatar_split_clause,[],[f56,f185,f166]) ).

fof(f166,plain,
    ( spl5_21
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).

fof(f56,plain,
    ! [X4] :
      ( sk_c9 != inverse(X4)
      | sP4
      | sk_c8 != multiply(X4,sk_c9) ),
    inference(cnf_transformation,[],[f56_D]) ).

fof(f56_D,plain,
    ( ! [X4] :
        ( sk_c9 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c9) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f182,plain,
    ( spl5_10
    | spl5_8 ),
    inference(avatar_split_clause,[],[f42,f91,f101]) ).

fof(f42,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f180,plain,
    ( spl5_18
    | spl5_22 ),
    inference(avatar_split_clause,[],[f50,f176,f155]) ).

fof(f155,plain,
    ( spl5_18
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f50,plain,
    ! [X6] :
      ( sk_c10 != inverse(X6)
      | sP1
      | sk_c9 != multiply(X6,sk_c10) ),
    inference(cnf_transformation,[],[f50_D]) ).

fof(f50_D,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f178,plain,
    ( spl5_22
    | spl5_19 ),
    inference(avatar_split_clause,[],[f48,f159,f176]) ).

fof(f159,plain,
    ( spl5_19
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f48,plain,
    ! [X3] :
      ( sP0
      | sk_c10 != inverse(X3)
      | sk_c9 != multiply(X3,sk_c10) ),
    inference(cnf_transformation,[],[f48_D]) ).

fof(f48_D,plain,
    ( ! [X3] :
        ( sk_c10 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c10) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f174,plain,
    ( spl5_13
    | spl5_1 ),
    inference(avatar_split_clause,[],[f25,f59,f117]) ).

fof(f25,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f171,plain,
    ( spl5_13
    | spl5_3 ),
    inference(avatar_split_clause,[],[f29,f68,f117]) ).

fof(f29,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f170,plain,
    ( spl5_4
    | spl5_14 ),
    inference(avatar_split_clause,[],[f37,f125,f72]) ).

fof(f37,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f169,plain,
    ( ~ spl5_16
    | ~ spl5_18
    | ~ spl5_19
    | spl5_20
    | ~ spl5_12
    | ~ spl5_21 ),
    inference(avatar_split_clause,[],[f57,f166,f110,f163,f159,f155,f144]) ).

fof(f144,plain,
    ( spl5_16
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).

fof(f110,plain,
    ( spl5_12
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f57,plain,
    ! [X5] :
      ( ~ sP4
      | ~ sP3
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != inverse(X5)
      | ~ sP0
      | ~ sP1
      | ~ sP2 ),
    inference(general_splitting,[],[f55,f56_D]) ).

fof(f55,plain,
    ! [X4,X5] :
      ( sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c8 != inverse(X5)
      | sk_c9 != inverse(X4)
      | ~ sP0
      | ~ sP1
      | ~ sP2
      | ~ sP3 ),
    inference(general_splitting,[],[f53,f54_D]) ).

fof(f54,plain,
    ! [X7] :
      ( sP3
      | sk_c8 != inverse(X7)
      | sk_c9 != multiply(X7,sk_c8) ),
    inference(cnf_transformation,[],[f54_D]) ).

fof(f54_D,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c8) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f53,plain,
    ! [X7,X4,X5] :
      ( sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | sk_c9 != inverse(X4)
      | ~ sP0
      | ~ sP1
      | ~ sP2 ),
    inference(general_splitting,[],[f51,f52_D]) ).

fof(f52,plain,
    ! [X9] :
      ( sk_c8 != inverse(X9)
      | sP2
      | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ),
    inference(cnf_transformation,[],[f52_D]) ).

fof(f52_D,plain,
    ( ! [X9] :
        ( sk_c8 != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f51,plain,
    ! [X9,X7,X4,X5] :
      ( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c8 != inverse(X9)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | sk_c9 != inverse(X4)
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f49,f50_D]) ).

fof(f49,plain,
    ! [X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c8 != inverse(X9)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c9 != inverse(X4)
      | ~ sP0 ),
    inference(general_splitting,[],[f47,f48_D]) ).

fof(f47,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X3)
      | sk_c8 != inverse(X9)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c8 != inverse(X5)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c9 != inverse(X4) ),
    inference(equality_resolution,[],[f46]) ).

fof(f46,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(sk_c8,X8)
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X3)
      | sk_c8 != inverse(X9)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c8 != inverse(X7)
      | multiply(X9,sk_c8) != X8
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c8 != inverse(X5)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c9 != inverse(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f152,plain,
    ( spl5_4
    | spl5_15 ),
    inference(avatar_split_clause,[],[f34,f130,f72]) ).

fof(f34,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f151,plain,
    ( spl5_14
    | spl5_13 ),
    inference(avatar_split_clause,[],[f30,f117,f125]) ).

fof(f30,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f150,plain,
    ( spl5_16
    | spl5_17 ),
    inference(avatar_split_clause,[],[f52,f148,f144]) ).

fof(f142,plain,
    ( spl5_8
    | spl5_15 ),
    inference(avatar_split_clause,[],[f41,f130,f91]) ).

fof(f41,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f141,plain,
    ( spl5_1
    | spl5_5 ),
    inference(avatar_split_clause,[],[f18,f77,f59]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f140,plain,
    ( spl5_6
    | spl5_8 ),
    inference(avatar_split_clause,[],[f40,f91,f82]) ).

fof(f40,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f138,plain,
    ( spl5_9
    | spl5_13 ),
    inference(avatar_split_clause,[],[f31,f117,f96]) ).

fof(f31,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f137,plain,
    ( spl5_5
    | spl5_15 ),
    inference(avatar_split_clause,[],[f20,f130,f77]) ).

fof(f20,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f136,plain,
    ( spl5_6
    | spl5_4 ),
    inference(avatar_split_clause,[],[f33,f72,f82]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f135,plain,
    ( spl5_6
    | spl5_13 ),
    inference(avatar_split_clause,[],[f26,f117,f82]) ).

fof(f26,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f134,plain,
    ( spl5_1
    | spl5_4 ),
    inference(avatar_split_clause,[],[f32,f72,f59]) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f133,plain,
    ( spl5_15
    | spl5_13 ),
    inference(avatar_split_clause,[],[f27,f117,f130]) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f128,plain,
    ( spl5_5
    | spl5_14 ),
    inference(avatar_split_clause,[],[f23,f125,f77]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f123,plain,
    ( spl5_9
    | spl5_5 ),
    inference(avatar_split_clause,[],[f24,f77,f96]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f122,plain,
    ( spl5_10
    | spl5_4 ),
    inference(avatar_split_clause,[],[f35,f72,f101]) ).

fof(f35,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f120,plain,
    ( spl5_10
    | spl5_13 ),
    inference(avatar_split_clause,[],[f28,f117,f101]) ).

fof(f28,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f115,plain,
    ( spl5_2
    | spl5_6 ),
    inference(avatar_split_clause,[],[f12,f82,f63]) ).

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f114,plain,
    ( spl5_7
    | spl5_1 ),
    inference(avatar_split_clause,[],[f4,f59,f86]) ).

fof(f4,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f113,plain,
    ( spl5_11
    | spl5_12 ),
    inference(avatar_split_clause,[],[f54,f110,f107]) ).

fof(f105,plain,
    ( spl5_6
    | spl5_5 ),
    inference(avatar_split_clause,[],[f19,f77,f82]) ).

fof(f19,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f104,plain,
    ( spl5_10
    | spl5_5 ),
    inference(avatar_split_clause,[],[f21,f77,f101]) ).

fof(f21,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f99,plain,
    ( spl5_8
    | spl5_9 ),
    inference(avatar_split_clause,[],[f45,f96,f91]) ).

fof(f45,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f94,plain,
    ( spl5_1
    | spl5_8 ),
    inference(avatar_split_clause,[],[f39,f91,f59]) ).

fof(f39,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f89,plain,
    ( spl5_6
    | spl5_7 ),
    inference(avatar_split_clause,[],[f5,f86,f82]) ).

fof(f5,axiom,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f80,plain,
    ( spl5_3
    | spl5_5 ),
    inference(avatar_split_clause,[],[f22,f77,f68]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f75,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f36,f72,f68]) ).

fof(f36,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f66,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f11,f63,f59]) ).

fof(f11,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP257-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:38:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  ipcrm: permission denied for id (646152192)
% 0.13/0.36  ipcrm: permission denied for id (647692290)
% 0.13/0.36  ipcrm: permission denied for id (646184964)
% 0.13/0.36  ipcrm: permission denied for id (651395077)
% 0.13/0.36  ipcrm: permission denied for id (651427846)
% 0.13/0.36  ipcrm: permission denied for id (651526153)
% 0.13/0.37  ipcrm: permission denied for id (651558922)
% 0.13/0.37  ipcrm: permission denied for id (647954443)
% 0.13/0.37  ipcrm: permission denied for id (646250508)
% 0.13/0.37  ipcrm: permission denied for id (651591693)
% 0.13/0.37  ipcrm: permission denied for id (648019982)
% 0.13/0.37  ipcrm: permission denied for id (646283279)
% 0.13/0.38  ipcrm: permission denied for id (648085521)
% 0.13/0.38  ipcrm: permission denied for id (648151059)
% 0.13/0.38  ipcrm: permission denied for id (648183828)
% 0.13/0.38  ipcrm: permission denied for id (651690005)
% 0.13/0.38  ipcrm: permission denied for id (648249366)
% 0.13/0.38  ipcrm: permission denied for id (648282135)
% 0.13/0.38  ipcrm: permission denied for id (646381592)
% 0.13/0.39  ipcrm: permission denied for id (648380443)
% 0.13/0.39  ipcrm: permission denied for id (648445981)
% 0.13/0.39  ipcrm: permission denied for id (651853855)
% 0.13/0.40  ipcrm: permission denied for id (648577057)
% 0.13/0.40  ipcrm: permission denied for id (648609826)
% 0.13/0.40  ipcrm: permission denied for id (651919395)
% 0.13/0.40  ipcrm: permission denied for id (651952164)
% 0.13/0.40  ipcrm: permission denied for id (648740902)
% 0.19/0.40  ipcrm: permission denied for id (652050472)
% 0.19/0.41  ipcrm: permission denied for id (652083241)
% 0.19/0.41  ipcrm: permission denied for id (652116010)
% 0.19/0.41  ipcrm: permission denied for id (648937516)
% 0.19/0.41  ipcrm: permission denied for id (648970285)
% 0.19/0.41  ipcrm: permission denied for id (652181550)
% 0.19/0.41  ipcrm: permission denied for id (652214319)
% 0.19/0.42  ipcrm: permission denied for id (649068592)
% 0.19/0.42  ipcrm: permission denied for id (649101361)
% 0.19/0.42  ipcrm: permission denied for id (649134130)
% 0.19/0.42  ipcrm: permission denied for id (649199668)
% 0.19/0.42  ipcrm: permission denied for id (649232437)
% 0.19/0.42  ipcrm: permission denied for id (649297975)
% 0.19/0.43  ipcrm: permission denied for id (652312632)
% 0.19/0.43  ipcrm: permission denied for id (649396282)
% 0.19/0.43  ipcrm: permission denied for id (649429051)
% 0.19/0.43  ipcrm: permission denied for id (646676541)
% 0.19/0.43  ipcrm: permission denied for id (649560126)
% 0.19/0.43  ipcrm: permission denied for id (649592895)
% 0.19/0.44  ipcrm: permission denied for id (646742080)
% 0.19/0.44  ipcrm: permission denied for id (646774849)
% 0.19/0.44  ipcrm: permission denied for id (652410946)
% 0.19/0.44  ipcrm: permission denied for id (649691204)
% 0.19/0.44  ipcrm: permission denied for id (646873157)
% 0.19/0.44  ipcrm: permission denied for id (649723974)
% 0.19/0.45  ipcrm: permission denied for id (649756743)
% 0.19/0.45  ipcrm: permission denied for id (652509256)
% 0.19/0.45  ipcrm: permission denied for id (646905929)
% 0.19/0.45  ipcrm: permission denied for id (646938698)
% 0.19/0.45  ipcrm: permission denied for id (647004235)
% 0.19/0.45  ipcrm: permission denied for id (652542028)
% 0.19/0.45  ipcrm: permission denied for id (649855053)
% 0.19/0.46  ipcrm: permission denied for id (649920591)
% 0.19/0.46  ipcrm: permission denied for id (649953360)
% 0.19/0.46  ipcrm: permission denied for id (652640338)
% 0.19/0.46  ipcrm: permission denied for id (650051667)
% 0.19/0.46  ipcrm: permission denied for id (650117205)
% 0.19/0.46  ipcrm: permission denied for id (650149974)
% 0.19/0.47  ipcrm: permission denied for id (650182743)
% 0.19/0.47  ipcrm: permission denied for id (650248281)
% 0.19/0.47  ipcrm: permission denied for id (652738650)
% 0.19/0.47  ipcrm: permission denied for id (652804188)
% 0.19/0.47  ipcrm: permission denied for id (650379357)
% 0.19/0.47  ipcrm: permission denied for id (647102558)
% 0.19/0.48  ipcrm: permission denied for id (650444896)
% 0.19/0.48  ipcrm: permission denied for id (650477665)
% 0.19/0.48  ipcrm: permission denied for id (650510434)
% 0.19/0.48  ipcrm: permission denied for id (650543203)
% 0.19/0.48  ipcrm: permission denied for id (652869732)
% 0.19/0.48  ipcrm: permission denied for id (647233637)
% 0.19/0.48  ipcrm: permission denied for id (650608742)
% 0.19/0.49  ipcrm: permission denied for id (652902503)
% 0.19/0.49  ipcrm: permission denied for id (647266408)
% 0.19/0.49  ipcrm: permission denied for id (650707050)
% 0.19/0.49  ipcrm: permission denied for id (650739819)
% 0.19/0.49  ipcrm: permission denied for id (650772588)
% 0.19/0.49  ipcrm: permission denied for id (650805357)
% 0.19/0.49  ipcrm: permission denied for id (647299182)
% 0.19/0.50  ipcrm: permission denied for id (647331951)
% 0.19/0.50  ipcrm: permission denied for id (650838128)
% 0.19/0.50  ipcrm: permission denied for id (652968049)
% 0.19/0.50  ipcrm: permission denied for id (650936435)
% 0.19/0.50  ipcrm: permission denied for id (650969204)
% 0.19/0.51  ipcrm: permission denied for id (653066358)
% 0.19/0.51  ipcrm: permission denied for id (651067511)
% 0.19/0.51  ipcrm: permission denied for id (647430264)
% 0.19/0.51  ipcrm: permission denied for id (651100281)
% 0.19/0.51  ipcrm: permission denied for id (651133050)
% 0.19/0.51  ipcrm: permission denied for id (653131900)
% 0.19/0.51  ipcrm: permission denied for id (651231357)
% 0.19/0.52  ipcrm: permission denied for id (651296895)
% 0.73/0.62  % (22628)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.95/0.63  TRYING [1]
% 0.95/0.64  % (22646)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 0.95/0.64  % (22636)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 0.95/0.65  TRYING [2]
% 1.18/0.65  TRYING [3]
% 1.18/0.67  TRYING [4]
% 1.18/0.67  % (22647)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.18/0.68  % (22627)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.18/0.69  % (22638)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.18/0.69  % (22622)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.18/0.69  % (22628)Instruction limit reached!
% 1.18/0.69  % (22628)------------------------------
% 1.18/0.69  % (22628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.69  % (22628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.69  % (22628)Termination reason: Unknown
% 1.18/0.69  % (22628)Termination phase: Finite model building SAT solving
% 1.18/0.69  
% 1.18/0.69  % (22628)Memory used [KB]: 6908
% 1.18/0.69  % (22628)Time elapsed: 0.132 s
% 1.18/0.69  % (22628)Instructions burned: 51 (million)
% 1.18/0.69  % (22628)------------------------------
% 1.18/0.69  % (22628)------------------------------
% 1.18/0.70  % (22629)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.18/0.70  % (22635)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.18/0.70  % (22626)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.18/0.70  % (22625)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.18/0.70  % (22630)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.18/0.70  % (22630)Instruction limit reached!
% 1.18/0.70  % (22630)------------------------------
% 1.18/0.70  % (22630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.70  % (22630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.70  % (22630)Termination reason: Unknown
% 1.18/0.70  % (22630)Termination phase: Property scanning
% 1.18/0.70  
% 1.18/0.70  % (22630)Memory used [KB]: 895
% 1.18/0.70  % (22630)Time elapsed: 0.002 s
% 1.18/0.70  % (22630)Instructions burned: 2 (million)
% 1.18/0.70  % (22630)------------------------------
% 1.18/0.70  % (22630)------------------------------
% 1.18/0.70  % (22645)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.18/0.70  TRYING [1]
% 1.18/0.71  % (22639)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.18/0.71  TRYING [2]
% 1.18/0.71  % (22653)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.18/0.71  % (22651)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.18/0.71  % (22648)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.18/0.71  % (22643)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 1.18/0.71  % (22641)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.18/0.71  % (22640)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.18/0.71  % (22624)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.18/0.71  % (22629)Instruction limit reached!
% 1.18/0.71  % (22629)------------------------------
% 1.18/0.71  % (22629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.71  % (22652)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.18/0.71  TRYING [1]
% 1.18/0.71  % (22629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.71  % (22629)Termination reason: Unknown
% 1.18/0.71  % (22629)Termination phase: Saturation
% 1.18/0.71  
% 1.18/0.71  % (22629)Memory used [KB]: 5500
% 1.18/0.71  % (22629)Time elapsed: 0.083 s
% 1.18/0.71  % (22629)Instructions burned: 8 (million)
% 1.18/0.71  % (22629)------------------------------
% 1.18/0.71  % (22629)------------------------------
% 1.18/0.71  % (22642)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.18/0.71  % (22623)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.18/0.72  % (22631)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.18/0.72  TRYING [3]
% 1.18/0.72  % (22634)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.18/0.72  % (22632)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.18/0.72  % (22650)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.18/0.72  % (22649)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.18/0.72  TRYING [4]
% 1.71/0.73  TRYING [2]
% 1.71/0.73  % (22645)First to succeed.
% 1.71/0.74  TRYING [3]
% 1.71/0.74  % (22645)Refutation found. Thanks to Tanya!
% 1.71/0.74  % SZS status Unsatisfiable for theBenchmark
% 1.71/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.74  % (22645)------------------------------
% 1.71/0.74  % (22645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.74  % (22645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.74  % (22645)Termination reason: Refutation
% 1.71/0.74  
% 1.71/0.74  % (22645)Memory used [KB]: 5756
% 1.71/0.74  % (22645)Time elapsed: 0.165 s
% 1.71/0.74  % (22645)Instructions burned: 16 (million)
% 1.71/0.74  % (22645)------------------------------
% 1.71/0.74  % (22645)------------------------------
% 1.71/0.74  % (22400)Success in time 0.385 s
%------------------------------------------------------------------------------