TSTP Solution File: GRP284-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP284-1 : 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 : n013.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 16:21:09 EDT 2022

% Result   : Unsatisfiable 1.65s 0.57s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  221 (   6 unt;   0 def)
%            Number of atoms       :  783 ( 248 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1101 ( 539   ~; 538   |;   0   &)
%                                         (  24 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   26 (  24 usr;  25 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f920,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f49,f54,f64,f69,f74,f82,f90,f96,f97,f98,f104,f105,f106,f107,f115,f116,f117,f118,f119,f121,f125,f126,f127,f128,f142,f214,f273,f285,f287,f296,f302,f310,f664,f681,f732,f741,f888,f903,f919]) ).

fof(f919,plain,
    ( ~ spl3_1
    | ~ spl3_18
    | spl3_19
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f918]) ).

fof(f918,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_18
    | spl3_19
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f917]) ).

fof(f917,plain,
    ( identity != identity
    | ~ spl3_1
    | ~ spl3_18
    | spl3_19
    | ~ spl3_23 ),
    inference(superposition,[],[f904,f784]) ).

fof(f784,plain,
    ( identity = sk_c7
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f136,f158]) ).

fof(f158,plain,
    ( identity = sk_c6
    | ~ spl3_23 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl3_23
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f136,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl3_18
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f904,plain,
    ( identity != sk_c7
    | ~ spl3_1
    | ~ spl3_18
    | spl3_19
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f141,f846]) ).

fof(f846,plain,
    ( identity = inverse(identity)
    | ~ spl3_1
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f830,f844]) ).

fof(f844,plain,
    ( identity = sk_c1
    | ~ spl3_1
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f843,f2]) ).

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

fof(f843,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl3_1
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f514,f784]) ).

fof(f514,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl3_1 ),
    inference(superposition,[],[f168,f493]) ).

fof(f493,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl3_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl3_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f168,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f163,f1]) ).

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

fof(f163,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f830,plain,
    ( identity = inverse(sk_c1)
    | ~ spl3_1
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f39,f784]) ).

fof(f141,plain,
    ( sk_c7 != inverse(identity)
    | spl3_19 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl3_19
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f903,plain,
    ( ~ spl3_1
    | ~ spl3_12
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f902]) ).

fof(f902,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_12
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f901]) ).

fof(f901,plain,
    ( identity != identity
    | ~ spl3_1
    | ~ spl3_12
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(superposition,[],[f900,f846]) ).

fof(f900,plain,
    ( identity != inverse(identity)
    | ~ spl3_1
    | ~ spl3_12
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f899,f846]) ).

fof(f899,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl3_12
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f895]) ).

fof(f895,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl3_12
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(superposition,[],[f891,f2]) ).

fof(f891,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl3_12
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f890,f158]) ).

fof(f890,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,identity) )
    | ~ spl3_12
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f889,f837]) ).

fof(f837,plain,
    ( identity = sk_c5
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f149,f158]) ).

fof(f149,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl3_21
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f889,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | identity != inverse(X6) )
    | ~ spl3_12
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f89,f158]) ).

fof(f89,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl3_12
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f888,plain,
    ( ~ spl3_1
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f887,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f886]) ).

fof(f886,plain,
    ( identity != identity
    | ~ spl3_1
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(superposition,[],[f883,f846]) ).

fof(f883,plain,
    ( identity != inverse(identity)
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(trivial_inequality_removal,[],[f877]) ).

fof(f877,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(superposition,[],[f838,f1]) ).

fof(f838,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_21
    | ~ spl3_23 ),
    inference(backward_demodulation,[],[f834,f837]) ).

fof(f834,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c5 != multiply(X4,identity) )
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f833,f784]) ).

fof(f833,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,identity)
        | sk_c7 != inverse(X4) )
    | ~ spl3_16
    | ~ spl3_18
    | ~ spl3_23 ),
    inference(forward_demodulation,[],[f114,f784]) ).

fof(f114,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl3_16
  <=> ! [X4] :
        ( sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f741,plain,
    ( spl3_18
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_5
    | ~ spl3_8
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f740,f92,f71,f56,f46,f37,f135]) ).

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

fof(f56,plain,
    ( spl3_5
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f71,plain,
    ( spl3_8
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f92,plain,
    ( spl3_13
  <=> sk_c5 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f740,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_5
    | ~ spl3_8
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f739,f734]) ).

fof(f734,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f48,f500]) ).

fof(f500,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f498,f39]) ).

fof(f498,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl3_8 ),
    inference(superposition,[],[f168,f73]) ).

fof(f73,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f71]) ).

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

fof(f739,plain,
    ( sk_c6 = sk_c5
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f738,f73]) ).

fof(f738,plain,
    ( sk_c5 = multiply(sk_c1,sk_c7)
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f94,f520]) ).

fof(f520,plain,
    ( sk_c1 = sk_c2
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f518,f514]) ).

fof(f518,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl3_5 ),
    inference(superposition,[],[f168,f495]) ).

fof(f495,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl3_5 ),
    inference(superposition,[],[f2,f58]) ).

fof(f58,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f94,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f732,plain,
    ( ~ spl3_18
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_18
    | spl3_21 ),
    inference(avatar_split_clause,[],[f731,f148,f135,f71,f46,f37,f135]) ).

fof(f731,plain,
    ( sk_c7 != sk_c6
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_18
    | spl3_21 ),
    inference(forward_demodulation,[],[f150,f723]) ).

fof(f723,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_1
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f721,f611]) ).

fof(f611,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f500,f136]) ).

fof(f721,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl3_3
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f48,f136]) ).

fof(f150,plain,
    ( sk_c6 != sk_c5
    | spl3_21 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f681,plain,
    ( ~ spl3_3
    | spl3_7
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f680]) ).

fof(f680,plain,
    ( $false
    | ~ spl3_3
    | spl3_7
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(trivial_inequality_removal,[],[f679]) ).

fof(f679,plain,
    ( identity != identity
    | ~ spl3_3
    | spl3_7
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(superposition,[],[f660,f1]) ).

fof(f660,plain,
    ( identity != multiply(identity,identity)
    | ~ spl3_3
    | spl3_7
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f632,f646]) ).

fof(f646,plain,
    ( identity = sk_c7
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f644,f2]) ).

fof(f644,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(superposition,[],[f168,f622]) ).

fof(f622,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f621,f136]) ).

fof(f621,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f48,f607]) ).

fof(f607,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f149,f136]) ).

fof(f632,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | spl3_7
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(forward_demodulation,[],[f490,f136]) ).

fof(f490,plain,
    ( sk_c6 != multiply(sk_c6,sk_c7)
    | spl3_7
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f67,f149]) ).

fof(f67,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl3_7 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl3_7
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f664,plain,
    ( spl3_23
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f648,f148,f135,f46,f157]) ).

fof(f648,plain,
    ( identity = sk_c6
    | ~ spl3_3
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f136,f646]) ).

fof(f310,plain,
    ( ~ spl3_19
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f309,f135,f100,f88,f61,f51,f41,f139]) ).

fof(f41,plain,
    ( spl3_2
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f51,plain,
    ( spl3_4
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f61,plain,
    ( spl3_6
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f100,plain,
    ( spl3_14
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f309,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(trivial_inequality_removal,[],[f306]) ).

fof(f306,plain,
    ( sk_c7 != inverse(identity)
    | sk_c7 != sk_c7
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(superposition,[],[f305,f1]) ).

fof(f305,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f304,f136]) ).

fof(f304,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f303,f136]) ).

fof(f303,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_12
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f89,f247]) ).

fof(f247,plain,
    ( sk_c7 = sk_c5
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f232,f229]) ).

fof(f229,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl3_4
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f174,f136]) ).

fof(f174,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl3_4
    | ~ spl3_14 ),
    inference(superposition,[],[f171,f102]) ).

fof(f102,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f171,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f170,f1]) ).

fof(f170,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl3_4 ),
    inference(superposition,[],[f3,f129]) ).

fof(f129,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl3_4 ),
    inference(superposition,[],[f2,f53]) ).

fof(f53,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f232,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f191,f136]) ).

fof(f191,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl3_2
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f188,f63]) ).

fof(f63,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f188,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl3_2 ),
    inference(superposition,[],[f168,f43]) ).

fof(f43,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f302,plain,
    ( ~ spl3_19
    | ~ spl3_17
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f301,f135,f123,f139]) ).

fof(f123,plain,
    ( spl3_17
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f301,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl3_17
    | ~ spl3_18 ),
    inference(trivial_inequality_removal,[],[f298]) ).

fof(f298,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(identity)
    | ~ spl3_17
    | ~ spl3_18 ),
    inference(superposition,[],[f297,f1]) ).

fof(f297,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl3_17
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f124,f136]) ).

fof(f124,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f296,plain,
    ( ~ spl3_19
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f295,f135,f113,f100,f61,f51,f41,f139]) ).

fof(f295,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(trivial_inequality_removal,[],[f292]) ).

fof(f292,plain,
    ( sk_c7 != inverse(identity)
    | sk_c7 != sk_c7
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(superposition,[],[f289,f1]) ).

fof(f289,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_16
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f114,f247]) ).

fof(f287,plain,
    ( ~ spl3_18
    | ~ spl3_2
    | spl3_3
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f286,f135,f100,f66,f61,f51,f46,f41,f135]) ).

fof(f286,plain,
    ( sk_c7 != sk_c6
    | ~ spl3_2
    | spl3_3
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f216,f247]) ).

fof(f216,plain,
    ( sk_c6 != sk_c5
    | ~ spl3_2
    | spl3_3
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f47,f215]) ).

fof(f215,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f210,f205]) ).

fof(f205,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f199,f174]) ).

fof(f199,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c7)
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(superposition,[],[f165,f68]) ).

fof(f68,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f165,plain,
    ( ! [X9] : multiply(sk_c3,multiply(sk_c6,X9)) = multiply(sk_c7,X9)
    | ~ spl3_14 ),
    inference(superposition,[],[f3,f102]) ).

fof(f210,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_14 ),
    inference(superposition,[],[f165,f191]) ).

fof(f47,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl3_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f285,plain,
    ( ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_18
    | spl3_21 ),
    inference(avatar_contradiction_clause,[],[f284]) ).

fof(f284,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_18
    | spl3_21 ),
    inference(trivial_inequality_removal,[],[f283]) ).

fof(f283,plain,
    ( sk_c7 != sk_c7
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_14
    | ~ spl3_18
    | spl3_21 ),
    inference(superposition,[],[f223,f247]) ).

fof(f223,plain,
    ( sk_c7 != sk_c5
    | ~ spl3_18
    | spl3_21 ),
    inference(backward_demodulation,[],[f150,f136]) ).

fof(f273,plain,
    ( spl3_19
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f272,f135,f100,f66,f61,f51,f41,f139]) ).

fof(f272,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f218,f260]) ).

fof(f260,plain,
    ( identity = sk_c4
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f241,f257]) ).

fof(f257,plain,
    ( identity = sk_c3
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f183,f255]) ).

fof(f255,plain,
    ( ! [X7] : multiply(inverse(sk_c7),X7) = X7
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f184,f254]) ).

fof(f254,plain,
    ( ! [X9] : multiply(sk_c3,X9) = X9
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f225,f253]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f251,f171]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
    | ~ spl3_2
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f234,f247]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl3_4
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f194,f136]) ).

fof(f194,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c6,X0)
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(superposition,[],[f164,f171]) ).

fof(f164,plain,
    ( ! [X8] : multiply(sk_c5,X8) = multiply(sk_c6,multiply(sk_c7,X8))
    | ~ spl3_7 ),
    inference(superposition,[],[f3,f68]) ).

fof(f225,plain,
    ( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c3,multiply(sk_c7,X9))
    | ~ spl3_14
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f165,f136]) ).

fof(f184,plain,
    ( ! [X7] : multiply(inverse(sk_c7),X7) = multiply(sk_c3,X7)
    | ~ spl3_4 ),
    inference(superposition,[],[f168,f171]) ).

fof(f183,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl3_4 ),
    inference(superposition,[],[f168,f129]) ).

fof(f241,plain,
    ( sk_c3 = sk_c4
    | ~ spl3_4
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f231,f183]) ).

fof(f231,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f186,f136]) ).

fof(f186,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl3_6 ),
    inference(superposition,[],[f168,f130]) ).

fof(f130,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl3_6 ),
    inference(superposition,[],[f2,f63]) ).

fof(f218,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl3_6
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f63,f136]) ).

fof(f214,plain,
    ( spl3_18
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f213,f66,f61,f41,f135]) ).

fof(f213,plain,
    ( sk_c7 = sk_c6
    | ~ spl3_2
    | ~ spl3_6
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f211,f185]) ).

fof(f185,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl3_7 ),
    inference(superposition,[],[f168,f68]) ).

fof(f211,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl3_2
    | ~ spl3_6 ),
    inference(superposition,[],[f168,f191]) ).

fof(f142,plain,
    ( ~ spl3_18
    | ~ spl3_19
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f131,f76,f139,f135]) ).

fof(f76,plain,
    ( spl3_9
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f131,plain,
    ( sk_c7 != inverse(identity)
    | sk_c7 != sk_c6
    | ~ spl3_9 ),
    inference(superposition,[],[f77,f1]) ).

fof(f77,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f128,plain,
    ( spl3_8
    | spl3_14 ),
    inference(avatar_split_clause,[],[f11,f100,f71]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f127,plain,
    ( spl3_7
    | spl3_1 ),
    inference(avatar_split_clause,[],[f14,f37,f66]) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f126,plain,
    ( spl3_6
    | spl3_3 ),
    inference(avatar_split_clause,[],[f7,f46,f61]) ).

fof(f7,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f125,plain,
    ( ~ spl3_10
    | ~ spl3_3
    | spl3_17
    | ~ spl3_11
    | ~ spl3_7
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f35,f109,f66,f84,f123,f46,f79]) ).

fof(f79,plain,
    ( spl3_10
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f84,plain,
    ( spl3_11
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f109,plain,
    ( spl3_15
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f35,plain,
    ! [X5] :
      ( ~ sP2
      | sk_c5 != multiply(sk_c6,sk_c7)
      | ~ sP1
      | sk_c7 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(sk_c7,sk_c6) != sk_c5
      | ~ sP0 ),
    inference(general_splitting,[],[f33,f34_D]) ).

fof(f34,plain,
    ! [X4] :
      ( sk_c5 != multiply(X4,sk_c7)
      | sk_c7 != inverse(X4)
      | sP2 ),
    inference(cnf_transformation,[],[f34_D]) ).

fof(f34_D,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f33,plain,
    ! [X4,X5] :
      ( sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != multiply(X4,sk_c7)
      | sk_c7 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | multiply(sk_c7,sk_c6) != sk_c5
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f31,f32_D]) ).

fof(f32,plain,
    ! [X6] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sP1
      | sk_c6 != inverse(X6) ),
    inference(cnf_transformation,[],[f32_D]) ).

fof(f32_D,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f31,plain,
    ! [X6,X4,X5] :
      ( sk_c6 != inverse(X6)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != multiply(X4,sk_c7)
      | sk_c7 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c7 != inverse(X4)
      | multiply(sk_c7,sk_c6) != sk_c5
      | ~ sP0 ),
    inference(general_splitting,[],[f29,f30_D]) ).

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

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

fof(f29,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != inverse(X6)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != multiply(X4,sk_c7)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c7 != inverse(X4)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f121,plain,
    ( spl3_5
    | spl3_2 ),
    inference(avatar_split_clause,[],[f28,f41,f56]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f119,plain,
    ( spl3_13
    | spl3_2 ),
    inference(avatar_split_clause,[],[f23,f41,f92]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f118,plain,
    ( spl3_4
    | spl3_8 ),
    inference(avatar_split_clause,[],[f10,f71,f51]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f117,plain,
    ( spl3_1
    | spl3_14 ),
    inference(avatar_split_clause,[],[f16,f100,f37]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f116,plain,
    ( spl3_7
    | spl3_13 ),
    inference(avatar_split_clause,[],[f19,f92,f66]) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f115,plain,
    ( spl3_15
    | spl3_16 ),
    inference(avatar_split_clause,[],[f34,f113,f109]) ).

fof(f107,plain,
    ( spl3_6
    | spl3_13 ),
    inference(avatar_split_clause,[],[f22,f92,f61]) ).

fof(f22,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f106,plain,
    ( spl3_8
    | spl3_2 ),
    inference(avatar_split_clause,[],[f13,f41,f71]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f105,plain,
    ( spl3_3
    | spl3_14 ),
    inference(avatar_split_clause,[],[f6,f100,f46]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f104,plain,
    ( spl3_6
    | spl3_5 ),
    inference(avatar_split_clause,[],[f27,f56,f61]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f98,plain,
    ( spl3_7
    | spl3_3 ),
    inference(avatar_split_clause,[],[f4,f46,f66]) ).

fof(f4,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f97,plain,
    ( spl3_4
    | spl3_1 ),
    inference(avatar_split_clause,[],[f15,f37,f51]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f96,plain,
    ( spl3_8
    | spl3_7 ),
    inference(avatar_split_clause,[],[f9,f66,f71]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f90,plain,
    ( spl3_11
    | spl3_12 ),
    inference(avatar_split_clause,[],[f32,f88,f84]) ).

fof(f82,plain,
    ( spl3_9
    | spl3_10 ),
    inference(avatar_split_clause,[],[f30,f79,f76]) ).

fof(f74,plain,
    ( spl3_8
    | spl3_6 ),
    inference(avatar_split_clause,[],[f12,f61,f71]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f69,plain,
    ( spl3_7
    | spl3_5 ),
    inference(avatar_split_clause,[],[f24,f56,f66]) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f64,plain,
    ( spl3_6
    | spl3_1 ),
    inference(avatar_split_clause,[],[f17,f37,f61]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f54,plain,
    ( spl3_4
    | spl3_3 ),
    inference(avatar_split_clause,[],[f5,f46,f51]) ).

fof(f5,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f49,plain,
    ( spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f8,f46,f41]) ).

fof(f8,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f44,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f18,f41,f37]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP284-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:22:02 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (28301)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)
% 0.20/0.50  % (28298)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)
% 0.20/0.50  % (28297)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)
% 0.20/0.51  % (28313)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (28300)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)
% 0.20/0.51  % (28306)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)
% 0.20/0.51  % (28318)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)
% 0.20/0.51  % (28299)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (28315)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)
% 0.20/0.52  % (28309)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)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (28305)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (28295)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)
% 0.20/0.53  TRYING [4]
% 0.20/0.53  % (28303)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (28325)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)
% 0.20/0.53  % (28324)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (28303)Instruction limit reached!
% 0.20/0.53  % (28303)------------------------------
% 0.20/0.53  % (28303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28303)Termination reason: Unknown
% 0.20/0.53  % (28303)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (28303)Memory used [KB]: 5373
% 0.20/0.53  % (28303)Time elapsed: 0.124 s
% 0.20/0.53  % (28303)Instructions burned: 3 (million)
% 0.20/0.53  % (28303)------------------------------
% 0.20/0.53  % (28303)------------------------------
% 0.20/0.53  % (28323)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)
% 0.20/0.53  % (28302)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (28296)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)
% 0.20/0.53  % (28307)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (28302)Instruction limit reached!
% 0.20/0.53  % (28302)------------------------------
% 0.20/0.53  % (28302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28319)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)
% 0.20/0.54  % (28311)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)
% 0.20/0.54  % (28320)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (28317)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (28312)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (28310)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (28321)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  % (28308)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (28316)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)
% 0.20/0.55  % (28304)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)
% 0.20/0.55  TRYING [3]
% 0.20/0.56  % (28322)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)
% 0.20/0.56  % (28305)First to succeed.
% 0.20/0.56  % (28302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (28302)Termination reason: Unknown
% 0.20/0.56  % (28302)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (28302)Memory used [KB]: 5500
% 0.20/0.56  % (28302)Time elapsed: 0.103 s
% 0.20/0.56  % (28302)Instructions burned: 7 (million)
% 0.20/0.56  % (28302)------------------------------
% 0.20/0.56  % (28302)------------------------------
% 0.20/0.56  TRYING [4]
% 0.20/0.57  % (28297)Instruction limit reached!
% 0.20/0.57  % (28297)------------------------------
% 0.20/0.57  % (28297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (28297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (28297)Termination reason: Unknown
% 0.20/0.57  % (28297)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (28297)Memory used [KB]: 1151
% 0.20/0.57  % (28297)Time elapsed: 0.164 s
% 0.20/0.57  % (28297)Instructions burned: 38 (million)
% 0.20/0.57  % (28297)------------------------------
% 0.20/0.57  % (28297)------------------------------
% 1.65/0.57  % (28325)Also succeeded, but the first one will report.
% 1.65/0.57  % (28305)Refutation found. Thanks to Tanya!
% 1.65/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.65/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.58  % (28305)------------------------------
% 1.65/0.58  % (28305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58  % (28305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58  % (28305)Termination reason: Refutation
% 1.65/0.58  
% 1.65/0.58  % (28305)Memory used [KB]: 5756
% 1.65/0.58  % (28305)Time elapsed: 0.143 s
% 1.65/0.58  % (28305)Instructions burned: 28 (million)
% 1.65/0.58  % (28305)------------------------------
% 1.65/0.58  % (28305)------------------------------
% 1.65/0.58  % (28292)Success in time 0.218 s
%------------------------------------------------------------------------------