TSTP Solution File: GRP216-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP216-1 : 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 : n025.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 16:20:55 EDT 2022

% Result   : Unsatisfiable 1.71s 0.59s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  228 (   7 unt;   0 def)
%            Number of atoms       :  711 ( 255 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  937 ( 454   ~; 457   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  27 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f813,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f49,f57,f66,f76,f77,f82,f87,f88,f96,f101,f102,f110,f111,f112,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f149,f158,f165,f179,f187,f231,f269,f281,f282,f309,f317,f491,f549,f695,f715,f724,f749,f750,f773,f812]) ).

fof(f812,plain,
    ( ~ spl3_14
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f811]) ).

fof(f811,plain,
    ( $false
    | ~ spl3_14
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f810]) ).

fof(f810,plain,
    ( identity != identity
    | ~ spl3_14
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(superposition,[],[f793,f720]) ).

fof(f720,plain,
    ( identity = inverse(identity)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f702,f717]) ).

fof(f717,plain,
    ( identity = sk_c1
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f712,f2]) ).

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

fof(f712,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f455,f168]) ).

fof(f168,plain,
    ( identity = sk_c7
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl3_23
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f455,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl3_14 ),
    inference(superposition,[],[f204,f420]) ).

fof(f420,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl3_14 ),
    inference(superposition,[],[f2,f100]) ).

fof(f100,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl3_14
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f204,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f190,f1]) ).

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

fof(f190,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f702,plain,
    ( identity = inverse(sk_c1)
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f100,f168]) ).

fof(f793,plain,
    ( identity != inverse(identity)
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f789]) ).

fof(f789,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(superposition,[],[f787,f1]) ).

fof(f787,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | identity != inverse(X0) )
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(superposition,[],[f780,f1]) ).

fof(f780,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f779,f168]) ).

fof(f779,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != inverse(X7) )
    | ~ spl3_15
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f778,f142]) ).

fof(f142,plain,
    ( identity = sk_c6
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl3_19
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f778,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(identity,multiply(X7,identity))
        | sk_c7 != inverse(X7) )
    | ~ spl3_15
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f105,f168]) ).

fof(f105,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != inverse(X7) )
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl3_15
  <=> ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f773,plain,
    ( ~ spl3_14
    | spl3_22
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f772]) ).

fof(f772,plain,
    ( $false
    | ~ spl3_14
    | spl3_22
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f771]) ).

fof(f771,plain,
    ( identity != identity
    | ~ spl3_14
    | spl3_22
    | ~ spl3_23 ),
    inference(superposition,[],[f705,f720]) ).

fof(f705,plain,
    ( identity != inverse(identity)
    | spl3_22
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f157,f168]) ).

fof(f157,plain,
    ( sk_c7 != inverse(identity)
    | spl3_22 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl3_22
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f750,plain,
    ( ~ spl3_19
    | spl3_21
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f704,f167,f151,f141]) ).

fof(f151,plain,
    ( spl3_21
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f704,plain,
    ( identity != sk_c6
    | spl3_21
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f153,f168]) ).

fof(f153,plain,
    ( sk_c7 != sk_c6
    | spl3_21 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f749,plain,
    ( ~ spl3_19
    | ~ spl3_14
    | ~ spl3_23
    | spl3_25 ),
    inference(avatar_split_clause,[],[f748,f176,f167,f98,f141]) ).

fof(f176,plain,
    ( spl3_25
  <=> sk_c6 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f748,plain,
    ( identity != sk_c6
    | ~ spl3_14
    | ~ spl3_23
    | spl3_25 ),
    inference(forward_demodulation,[],[f178,f720]) ).

fof(f178,plain,
    ( sk_c6 != inverse(identity)
    | spl3_25 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f724,plain,
    ( spl3_19
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f723,f167,f98,f63,f141]) ).

fof(f63,plain,
    ( spl3_7
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f723,plain,
    ( identity = sk_c6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f719,f1]) ).

fof(f719,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f699,f717]) ).

fof(f699,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | ~ spl3_7
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f65,f168]) ).

fof(f65,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f715,plain,
    ( ~ spl3_25
    | spl3_6
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f698,f167,f59,f176]) ).

fof(f59,plain,
    ( spl3_6
  <=> sk_c6 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f698,plain,
    ( sk_c6 != inverse(identity)
    | spl3_6
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f60,f168]) ).

fof(f60,plain,
    ( sk_c6 != inverse(sk_c7)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f695,plain,
    ( spl3_23
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f694,f73,f37,f167]) ).

fof(f37,plain,
    ( spl3_1
  <=> sk_c7 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f73,plain,
    ( spl3_9
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f694,plain,
    ( identity = sk_c7
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f692,f2]) ).

fof(f692,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(superposition,[],[f204,f424]) ).

fof(f424,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f421,f75]) ).

fof(f75,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f421,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c7)
    | ~ spl3_1 ),
    inference(superposition,[],[f204,f39]) ).

fof(f39,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f549,plain,
    ( ~ spl3_23
    | ~ spl3_17
    | ~ spl3_19
    | ~ spl3_22
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f548,f167,f155,f141,f114,f167]) ).

fof(f114,plain,
    ( spl3_17
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f548,plain,
    ( identity != sk_c7
    | ~ spl3_17
    | ~ spl3_19
    | ~ spl3_22
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f547,f527]) ).

fof(f527,plain,
    ( identity = inverse(identity)
    | ~ spl3_22
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f156,f168]) ).

fof(f156,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl3_22 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f547,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl3_17
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f546]) ).

fof(f546,plain,
    ( sk_c7 != inverse(identity)
    | identity != identity
    | ~ spl3_17
    | ~ spl3_19
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f545,f168]) ).

fof(f545,plain,
    ( identity != sk_c7
    | sk_c7 != inverse(identity)
    | ~ spl3_17
    | ~ spl3_19 ),
    inference(forward_demodulation,[],[f441,f142]) ).

fof(f441,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl3_17 ),
    inference(superposition,[],[f115,f1]) ).

fof(f115,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f491,plain,
    ( spl3_21
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f490,f155,f98,f63,f151]) ).

fof(f490,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f472,f1]) ).

fof(f472,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f65,f465]) ).

fof(f465,plain,
    ( identity = sk_c1
    | ~ spl3_14
    | ~ spl3_22 ),
    inference(superposition,[],[f272,f420]) ).

fof(f272,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl3_22 ),
    inference(backward_demodulation,[],[f208,f156]) ).

fof(f208,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f204,f1]) ).

fof(f317,plain,
    ( ~ spl3_23
    | spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21
    | ~ spl3_22 ),
    inference(avatar_split_clause,[],[f316,f155,f151,f84,f79,f59,f46,f41,f167]) ).

fof(f41,plain,
    ( spl3_2
  <=> sk_c5 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f46,plain,
    ( spl3_3
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f79,plain,
    ( spl3_10
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f84,plain,
    ( spl3_11
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f316,plain,
    ( identity != sk_c7
    | spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f315,f260]) ).

fof(f260,plain,
    ( identity = sk_c5
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f246,f238]) ).

fof(f238,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f128,f152]) ).

fof(f152,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f128,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl3_6 ),
    inference(superposition,[],[f2,f61]) ).

fof(f61,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f246,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f219,f152]) ).

fof(f219,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl3_3
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f212,f61]) ).

fof(f212,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl3_3 ),
    inference(superposition,[],[f204,f48]) ).

fof(f48,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f315,plain,
    ( sk_c7 != sk_c5
    | spl3_2
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21
    | ~ spl3_22 ),
    inference(forward_demodulation,[],[f314,f272]) ).

fof(f314,plain,
    ( sk_c5 != multiply(sk_c7,sk_c7)
    | spl3_2
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f42,f299]) ).

fof(f299,plain,
    ( sk_c7 = sk_c4
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f222,f298]) ).

fof(f298,plain,
    ( sk_c7 = sk_c3
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f247,f257]) ).

fof(f257,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f245,f236]) ).

fof(f236,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f61,f152]) ).

fof(f245,plain,
    ( sk_c7 = multiply(inverse(sk_c7),identity)
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f215,f152]) ).

fof(f215,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl3_6 ),
    inference(superposition,[],[f204,f128]) ).

fof(f247,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f220,f152]) ).

fof(f220,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | ~ spl3_6
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f213,f61]) ).

fof(f213,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl3_10 ),
    inference(superposition,[],[f204,f129]) ).

fof(f129,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl3_10 ),
    inference(superposition,[],[f2,f81]) ).

fof(f81,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f222,plain,
    ( sk_c3 = sk_c4
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f221,f220]) ).

fof(f221,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl3_6
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f214,f61]) ).

fof(f214,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl3_11 ),
    inference(superposition,[],[f204,f130]) ).

fof(f130,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl3_11 ),
    inference(superposition,[],[f2,f86]) ).

fof(f86,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f42,plain,
    ( sk_c5 != multiply(sk_c4,sk_c7)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f309,plain,
    ( spl3_23
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f308,f151,f79,f68,f59,f167]) ).

fof(f68,plain,
    ( spl3_8
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f308,plain,
    ( identity = sk_c7
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f248,f307]) ).

fof(f307,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f129,f298]) ).

fof(f248,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f232,f152]) ).

fof(f232,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f216,f81]) ).

fof(f216,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl3_8 ),
    inference(superposition,[],[f204,f70]) ).

fof(f70,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f282,plain,
    ( ~ spl3_23
    | ~ spl3_3
    | ~ spl3_6
    | spl3_20
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f270,f151,f146,f59,f46,f167]) ).

fof(f146,plain,
    ( spl3_20
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f270,plain,
    ( identity != sk_c7
    | ~ spl3_3
    | ~ spl3_6
    | spl3_20
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f240,f260]) ).

fof(f240,plain,
    ( sk_c7 != sk_c5
    | spl3_20
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f148,f152]) ).

fof(f148,plain,
    ( sk_c6 != sk_c5
    | spl3_20 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f281,plain,
    ( spl3_19
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(avatar_split_clause,[],[f273,f167,f151,f141]) ).

fof(f273,plain,
    ( identity = sk_c6
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f152,f168]) ).

fof(f269,plain,
    ( spl3_22
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f264,f151,f84,f79,f68,f59,f46,f41,f155]) ).

fof(f264,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f81,f263]) ).

fof(f263,plain,
    ( identity = sk_c3
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f247,f253]) ).

fof(f253,plain,
    ( ! [X8] : multiply(sk_c7,X8) = X8
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f250,f244]) ).

fof(f244,plain,
    ( ! [X11] : multiply(sk_c7,multiply(sk_c7,X11)) = X11
    | ~ spl3_6
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f199,f152]) ).

fof(f199,plain,
    ( ! [X11] : multiply(sk_c6,multiply(sk_c7,X11)) = X11
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f194,f1]) ).

fof(f194,plain,
    ( ! [X11] : multiply(identity,X11) = multiply(sk_c6,multiply(sk_c7,X11))
    | ~ spl3_6 ),
    inference(superposition,[],[f3,f128]) ).

fof(f250,plain,
    ( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c7,multiply(sk_c7,X8))
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f241,f249]) ).

fof(f249,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_11
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f227,f237]) ).

fof(f237,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f70,f152]) ).

fof(f227,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(backward_demodulation,[],[f43,f222]) ).

fof(f43,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f241,plain,
    ( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c7,multiply(sk_c5,X8))
    | ~ spl3_3
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f191,f152]) ).

fof(f191,plain,
    ( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c7,multiply(sk_c5,X8))
    | ~ spl3_3 ),
    inference(superposition,[],[f3,f48]) ).

fof(f231,plain,
    ( spl3_21
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f230,f84,f79,f59,f46,f41,f151]) ).

fof(f230,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(backward_demodulation,[],[f48,f229]) ).

fof(f229,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f228,f81]) ).

fof(f228,plain,
    ( sk_c7 = multiply(inverse(sk_c3),sk_c5)
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f217,f222]) ).

fof(f217,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c5)
    | ~ spl3_2 ),
    inference(superposition,[],[f204,f43]) ).

fof(f187,plain,
    ( ~ spl3_3
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f186,f104,f84,f41,f46]) ).

fof(f186,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_15 ),
    inference(trivial_inequality_removal,[],[f185]) ).

fof(f185,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != multiply(sk_c7,sk_c5)
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f183,f86]) ).

fof(f183,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | sk_c7 != inverse(sk_c4)
    | ~ spl3_2
    | ~ spl3_15 ),
    inference(superposition,[],[f105,f43]) ).

fof(f179,plain,
    ( ~ spl3_25
    | ~ spl3_21
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f160,f90,f151,f176]) ).

fof(f90,plain,
    ( spl3_12
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f160,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl3_12 ),
    inference(superposition,[],[f91,f1]) ).

fof(f91,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f165,plain,
    ( ~ spl3_21
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f164,f90,f79,f68,f151]) ).

fof(f164,plain,
    ( sk_c7 != sk_c6
    | ~ spl3_8
    | ~ spl3_10
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f163,f81]) ).

fof(f163,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(trivial_inequality_removal,[],[f162]) ).

fof(f162,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(superposition,[],[f91,f70]) ).

fof(f158,plain,
    ( ~ spl3_21
    | ~ spl3_22
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f131,f51,f155,f151]) ).

fof(f51,plain,
    ( spl3_4
  <=> ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f131,plain,
    ( sk_c7 != inverse(identity)
    | sk_c7 != sk_c6
    | ~ spl3_4 ),
    inference(superposition,[],[f52,f1]) ).

fof(f52,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f149,plain,
    ( ~ spl3_11
    | ~ spl3_20
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f134,f51,f41,f146,f84]) ).

fof(f134,plain,
    ( sk_c6 != sk_c5
    | sk_c7 != inverse(sk_c4)
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(superposition,[],[f52,f43]) ).

fof(f127,plain,
    ( spl3_7
    | spl3_3 ),
    inference(avatar_split_clause,[],[f7,f46,f63]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f126,plain,
    ( spl3_8
    | spl3_14 ),
    inference(avatar_split_clause,[],[f12,f98,f68]) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f125,plain,
    ( spl3_2
    | spl3_14 ),
    inference(avatar_split_clause,[],[f14,f98,f41]) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f124,plain,
    ( spl3_6
    | spl3_1 ),
    inference(avatar_split_clause,[],[f16,f37,f59]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f123,plain,
    ( spl3_14
    | spl3_6 ),
    inference(avatar_split_clause,[],[f10,f59,f98]) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f122,plain,
    ( spl3_2
    | spl3_7 ),
    inference(avatar_split_clause,[],[f8,f63,f41]) ).

fof(f8,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f121,plain,
    ( spl3_10
    | spl3_1 ),
    inference(avatar_split_clause,[],[f17,f37,f79]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f120,plain,
    ( spl3_9
    | spl3_10 ),
    inference(avatar_split_clause,[],[f23,f79,f73]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f119,plain,
    ( spl3_14
    | spl3_11 ),
    inference(avatar_split_clause,[],[f15,f84,f98]) ).

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

fof(f118,plain,
    ( spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f24,f73,f68]) ).

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f117,plain,
    ( spl3_11
    | spl3_1 ),
    inference(avatar_split_clause,[],[f21,f37,f84]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f116,plain,
    ( ~ spl3_5
    | ~ spl3_6
    | ~ spl3_16
    | spl3_17
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f35,f93,f114,f107,f59,f54]) ).

fof(f54,plain,
    ( spl3_5
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f107,plain,
    ( spl3_16
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f93,plain,
    ( spl3_13
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f35,plain,
    ! [X5] :
      ( ~ sP2
      | sk_c7 != inverse(X5)
      | ~ sP1
      | sk_c6 != inverse(sk_c7)
      | ~ sP0
      | sk_c7 != multiply(X5,sk_c6) ),
    inference(general_splitting,[],[f33,f34_D]) ).

fof(f34,plain,
    ! [X4] :
      ( sP2
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != inverse(X4) ),
    inference(cnf_transformation,[],[f34_D]) ).

fof(f34_D,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f33,plain,
    ! [X4,X5] :
      ( sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f31,f32_D]) ).

fof(f32,plain,
    ! [X7] :
      ( sP1
      | sk_c7 != inverse(X7)
      | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) ),
    inference(cnf_transformation,[],[f32_D]) ).

fof(f32_D,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f31,plain,
    ! [X7,X4,X5] :
      ( sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X7)
      | sk_c7 != multiply(X4,sk_c6)
      | ~ sP0 ),
    inference(general_splitting,[],[f29,f30_D]) ).

fof(f30,plain,
    ! [X3] :
      ( sP0
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3) ),
    inference(cnf_transformation,[],[f30_D]) ).

fof(f30_D,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f29,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X7)
      | sk_c7 != multiply(X4,sk_c6) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(X5,sk_c6)
      | multiply(X7,sk_c7) != X6
      | sk_c6 != multiply(sk_c7,X6)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X7)
      | sk_c7 != multiply(X4,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f112,plain,
    ( spl3_14
    | spl3_10 ),
    inference(avatar_split_clause,[],[f11,f79,f98]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f111,plain,
    ( spl3_9
    | spl3_11 ),
    inference(avatar_split_clause,[],[f27,f84,f73]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f110,plain,
    ( spl3_15
    | spl3_16 ),
    inference(avatar_split_clause,[],[f32,f107,f104]) ).

fof(f102,plain,
    ( spl3_6
    | spl3_9 ),
    inference(avatar_split_clause,[],[f22,f73,f59]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f101,plain,
    ( spl3_14
    | spl3_3 ),
    inference(avatar_split_clause,[],[f13,f46,f98]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f96,plain,
    ( spl3_12
    | spl3_13 ),
    inference(avatar_split_clause,[],[f34,f93,f90]) ).

fof(f88,plain,
    ( spl3_8
    | spl3_1 ),
    inference(avatar_split_clause,[],[f18,f37,f68]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f87,plain,
    ( spl3_11
    | spl3_7 ),
    inference(avatar_split_clause,[],[f9,f63,f84]) ).

fof(f9,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f82,plain,
    ( spl3_7
    | spl3_10 ),
    inference(avatar_split_clause,[],[f5,f79,f63]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f77,plain,
    ( spl3_3
    | spl3_9 ),
    inference(avatar_split_clause,[],[f25,f73,f46]) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f76,plain,
    ( spl3_9
    | spl3_2 ),
    inference(avatar_split_clause,[],[f26,f41,f73]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f66,plain,
    ( spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f4,f63,f59]) ).

fof(f4,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c6 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f57,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f30,f54,f51]) ).

fof(f49,plain,
    ( spl3_3
    | spl3_1 ),
    inference(avatar_split_clause,[],[f19,f37,f46]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f44,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f20,f41,f37]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP216-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % 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 : n025.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 22:30:29 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.48  % (29589)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.48  % (29597)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.52  % (29581)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (29603)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53  % (29578)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (29577)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (29579)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53  % (29575)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (29576)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53  % (29596)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53  % (29574)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53  % (29588)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53  % (29583)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (29584)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (29582)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54  % (29582)Instruction limit reached!
% 0.21/0.54  % (29582)------------------------------
% 0.21/0.54  % (29582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (29582)Termination reason: Unknown
% 0.21/0.54  % (29582)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (29582)Memory used [KB]: 895
% 0.21/0.54  % (29582)Time elapsed: 0.002 s
% 0.21/0.54  % (29582)Instructions burned: 2 (million)
% 0.21/0.54  % (29582)------------------------------
% 0.21/0.54  % (29582)------------------------------
% 0.21/0.54  % (29594)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.54  % (29580)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (29593)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (29595)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (29581)Instruction limit reached!
% 0.21/0.54  % (29581)------------------------------
% 0.21/0.54  % (29581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29586)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54  % (29602)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54  % (29585)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (29599)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (29600)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (29601)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54  % (29587)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55  % (29591)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (29592)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.60/0.55  % (29598)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.60/0.56  % (29581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (29581)Termination reason: Unknown
% 1.60/0.56  % (29581)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (29581)Memory used [KB]: 5500
% 1.60/0.56  % (29581)Time elapsed: 0.097 s
% 1.60/0.56  % (29581)Instructions burned: 7 (million)
% 1.60/0.56  % (29581)------------------------------
% 1.60/0.56  % (29581)------------------------------
% 1.60/0.56  TRYING [3]
% 1.60/0.56  % (29590)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.56  TRYING [4]
% 1.60/0.56  % (29584)First to succeed.
% 1.60/0.57  TRYING [1]
% 1.60/0.57  TRYING [2]
% 1.71/0.57  TRYING [3]
% 1.71/0.57  TRYING [4]
% 1.71/0.58  TRYING [4]
% 1.71/0.59  % (29584)Refutation found. Thanks to Tanya!
% 1.71/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.71/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.59  % (29584)------------------------------
% 1.71/0.59  % (29584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (29584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (29584)Termination reason: Refutation
% 1.71/0.59  
% 1.71/0.59  % (29584)Memory used [KB]: 5756
% 1.71/0.59  % (29584)Time elapsed: 0.146 s
% 1.71/0.59  % (29584)Instructions burned: 23 (million)
% 1.71/0.59  % (29584)------------------------------
% 1.71/0.59  % (29584)------------------------------
% 1.71/0.59  % (29573)Success in time 0.228 s
%------------------------------------------------------------------------------