TSTP Solution File: GRP345-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP345-1 : 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 : n028.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 16:21:22 EDT 2022

% Result   : Unsatisfiable 1.71s 0.58s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  229 (   9 unt;   0 def)
%            Number of atoms       :  737 ( 230 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  980 ( 472   ~; 488   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  21 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f858,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f61,f66,f71,f76,f77,f78,f80,f104,f105,f106,f107,f108,f109,f110,f111,f114,f115,f117,f118,f119,f120,f121,f134,f143,f161,f203,f227,f231,f238,f269,f355,f400,f597,f624,f629,f633,f634,f646,f680,f739,f777,f841]) ).

fof(f841,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f840]) ).

fof(f840,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f839,f791]) ).

fof(f791,plain,
    ( identity = sk_c5
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f789,f512]) ).

fof(f512,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_3
  <=> sk_c5 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f789,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f548,f141]) ).

fof(f141,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl0_17
  <=> sk_c6 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f548,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f539,f47]) ).

fof(f539,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f173,f56]) ).

fof(f56,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_5
  <=> sk_c7 = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f173,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f165,f1]) ).

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

fof(f165,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

fof(f839,plain,
    ( identity != sk_c5
    | ~ spl0_3
    | spl0_4
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f779,f742]) ).

fof(f742,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f509,f155]) ).

fof(f155,plain,
    ( sk_c6 = inverse(inverse(sk_c5))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl0_20
  <=> sk_c6 = inverse(inverse(sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f509,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
    | ~ spl0_3 ),
    inference(superposition,[],[f279,f47]) ).

fof(f279,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f173,f187]) ).

fof(f187,plain,
    ! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
    inference(superposition,[],[f173,f2]) ).

fof(f779,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | spl0_4
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f50,f141]) ).

fof(f50,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | spl0_4 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_4
  <=> multiply(sk_c6,sk_c7) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f777,plain,
    ( spl0_17
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f770,f82,f73,f54,f140]) ).

fof(f73,plain,
    ( spl0_9
  <=> sk_c5 = multiply(sk_c4,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f82,plain,
    ( spl0_10
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f770,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f56,f769]) ).

fof(f769,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f767,f84]) ).

fof(f84,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f767,plain,
    ( sk_c6 = multiply(inverse(sk_c4),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f173,f75]) ).

fof(f75,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f739,plain,
    ( ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f738]) ).

fof(f738,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f737,f284]) ).

fof(f284,plain,
    identity = inverse(identity),
    inference(superposition,[],[f187,f279]) ).

fof(f737,plain,
    ( identity != inverse(identity)
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f726,f284]) ).

fof(f726,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f723]) ).

fof(f723,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(superposition,[],[f689,f2]) ).

fof(f689,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f688,f159]) ).

fof(f159,plain,
    ( identity = sk_c6
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl0_21
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f688,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f687,f636]) ).

fof(f636,plain,
    ( identity = sk_c7
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f141,f159]) ).

fof(f687,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c6 != multiply(X5,sk_c7) )
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f97,f636]) ).

fof(f97,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c6 != multiply(X5,sk_c7) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_13
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c6 != multiply(X5,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f680,plain,
    ( ~ spl0_15
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f679]) ).

fof(f679,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f667,f284]) ).

fof(f667,plain,
    ( identity != inverse(identity)
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f662]) ).

fof(f662,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(superposition,[],[f660,f1]) ).

fof(f660,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f659,f636]) ).

fof(f659,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | sk_c7 != inverse(X3) )
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f658,f636]) ).

fof(f658,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | sk_c7 != inverse(X3) )
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f103,f159]) ).

fof(f103,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_15
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f646,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_19
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f645]) ).

fof(f645,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_19
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f577,f159]) ).

fof(f577,plain,
    ( identity != sk_c6
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_19 ),
    inference(backward_demodulation,[],[f151,f574]) ).

fof(f574,plain,
    ( identity = sk_c5
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f561,f512]) ).

fof(f561,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f548,f141]) ).

fof(f151,plain,
    ( sk_c6 != sk_c5
    | spl0_19 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl0_19
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f634,plain,
    ( ~ spl0_21
    | ~ spl0_3
    | ~ spl0_5
    | spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f617,f140,f136,f54,f45,f158]) ).

fof(f136,plain,
    ( spl0_16
  <=> sk_c6 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f617,plain,
    ( identity != sk_c6
    | ~ spl0_3
    | ~ spl0_5
    | spl0_16
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f138,f575]) ).

fof(f575,plain,
    ( identity = inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f47,f574]) ).

fof(f138,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f633,plain,
    ( ~ spl0_21
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f632,f154,f140,f54,f45,f158]) ).

fof(f632,plain,
    ( identity != sk_c6
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_20 ),
    inference(forward_demodulation,[],[f631,f284]) ).

fof(f631,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_20 ),
    inference(forward_demodulation,[],[f630,f284]) ).

fof(f630,plain,
    ( sk_c6 != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_17
    | spl0_20 ),
    inference(forward_demodulation,[],[f156,f574]) ).

fof(f156,plain,
    ( sk_c6 != inverse(inverse(sk_c5))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f629,plain,
    ( spl0_21
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f600,f140,f68,f54,f45,f158]) ).

fof(f68,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f600,plain,
    ( identity = sk_c6
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f591,f284]) ).

fof(f591,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f553,f588]) ).

fof(f588,plain,
    ( identity = sk_c3
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f583,f1]) ).

fof(f583,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f562,f574]) ).

fof(f562,plain,
    ( sk_c3 = multiply(sk_c5,identity)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f555,f47]) ).

fof(f555,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f514,f141]) ).

fof(f514,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f187,f70]) ).

fof(f70,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f553,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f70,f141]) ).

fof(f624,plain,
    ( ~ spl0_21
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f621,f140,f68,f63,f54,f49,f45,f36,f158]) ).

fof(f36,plain,
    ( spl0_1
  <=> sk_c6 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f63,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f621,plain,
    ( identity != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f620,f574]) ).

fof(f620,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f551,f598]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f590,f1]) ).

fof(f590,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f542,f588]) ).

fof(f542,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f537,f541]) ).

fof(f541,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f540,f501]) ).

fof(f501,plain,
    ( ! [X9] : multiply(sk_c6,multiply(sk_c5,X9)) = X9
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f174,f499]) ).

fof(f499,plain,
    ( ! [X7] : multiply(sk_c5,X7) = multiply(sk_c2,X7)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f189,f47]) ).

fof(f189,plain,
    ( ! [X7] : multiply(inverse(sk_c6),X7) = multiply(sk_c2,X7)
    | ~ spl0_7 ),
    inference(superposition,[],[f173,f174]) ).

fof(f174,plain,
    ( ! [X9] : multiply(sk_c6,multiply(sk_c2,X9)) = X9
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f167,f1]) ).

fof(f167,plain,
    ( ! [X9] : multiply(sk_c6,multiply(sk_c2,X9)) = multiply(identity,X9)
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f125]) ).

fof(f125,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f65]) ).

fof(f65,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f540,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f56]) ).

fof(f537,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f38]) ).

fof(f38,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f551,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | spl0_4
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f50,f141]) ).

fof(f597,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f592,f1]) ).

fof(f592,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f556,f588]) ).

fof(f556,plain,
    ( sk_c6 != multiply(sk_c3,sk_c6)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f518,f141]) ).

fof(f518,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f41,f517]) ).

fof(f517,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f193,f514]) ).

fof(f193,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f173,f162]) ).

fof(f162,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f90]) ).

fof(f90,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_11
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f41,plain,
    ( sk_c7 != multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f400,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f399]) ).

fof(f399,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f284,f318]) ).

fof(f318,plain,
    ( identity != inverse(identity)
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f312]) ).

fof(f312,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(superposition,[],[f310,f1]) ).

fof(f310,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f309,f159]) ).

fof(f309,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f308,f240]) ).

fof(f240,plain,
    ( identity = sk_c5
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f150,f159]) ).

fof(f150,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f308,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,identity)
        | sk_c6 != inverse(X6) )
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f100,f159]) ).

fof(f100,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f355,plain,
    ( ~ spl0_3
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f353,f318]) ).

fof(f353,plain,
    ( identity = inverse(identity)
    | ~ spl0_3
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f273,f240]) ).

fof(f273,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f47,f159]) ).

fof(f269,plain,
    ( spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f267,f240]) ).

fof(f267,plain,
    ( identity != sk_c5
    | spl0_3
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f266,f253]) ).

fof(f253,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f247,f251]) ).

fof(f251,plain,
    ( identity = sk_c1
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f246,f2]) ).

fof(f246,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f214,f159]) ).

fof(f214,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f193,f141]) ).

fof(f247,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(backward_demodulation,[],[f219,f159]) ).

fof(f219,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f65,f217]) ).

fof(f217,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f192,f214]) ).

fof(f192,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f173,f125]) ).

fof(f266,plain,
    ( sk_c5 != inverse(identity)
    | spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f46,f159]) ).

fof(f46,plain,
    ( sk_c5 != inverse(sk_c6)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f238,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f237]) ).

fof(f237,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f233,f212]) ).

fof(f212,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f175,f141]) ).

fof(f175,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f171,f42]) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f171,plain,
    ( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = X10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f168,f1]) ).

fof(f168,plain,
    ( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = multiply(identity,X10)
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f162]) ).

fof(f233,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | spl0_5
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f206,f150]) ).

fof(f206,plain,
    ( sk_c6 != multiply(sk_c6,sk_c5)
    | spl0_5
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f55,f141]) ).

fof(f55,plain,
    ( sk_c7 != multiply(sk_c6,sk_c5)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f231,plain,
    ( spl0_21
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f230,f140,f88,f40,f158]) ).

fof(f230,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f216,f2]) ).

fof(f216,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f195,f141]) ).

fof(f195,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f173,f175]) ).

fof(f227,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f226,f140,f88,f49,f40,f149]) ).

fof(f226,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f205,f212]) ).

fof(f205,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f51,f141]) ).

fof(f51,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f203,plain,
    ( spl0_17
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f202,f63,f58,f49,f140]) ).

fof(f58,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c2,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f202,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f191,f190]) ).

fof(f190,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f173,f179]) ).

fof(f179,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f174,f60]) ).

fof(f60,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f191,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_4 ),
    inference(superposition,[],[f173,f51]) ).

fof(f161,plain,
    ( ~ spl0_20
    | ~ spl0_21
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f128,f93,f158,f154]) ).

fof(f93,plain,
    ( spl0_12
  <=> ! [X4] :
        ( sk_c6 != multiply(X4,sk_c5)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f128,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(inverse(sk_c5))
    | ~ spl0_12 ),
    inference(superposition,[],[f94,f2]) ).

fof(f94,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c5)
        | sk_c6 != inverse(X4) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f143,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f129,f93,f54,f140,f136]) ).

fof(f129,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f94,f56]) ).

fof(f134,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f131,f65]) ).

fof(f131,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f130]) ).

fof(f130,plain,
    ( sk_c6 != inverse(sk_c2)
    | sk_c6 != sk_c6
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f94,f60]) ).

fof(f121,plain,
    ( spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f27,f82,f63]) ).

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

fof(f120,plain,
    ( spl0_6
    | spl0_8 ),
    inference(avatar_split_clause,[],[f30,f68,f58]) ).

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f119,plain,
    ( spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f88,f54]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f118,plain,
    ( spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f82,f49]) ).

fof(f9,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f117,plain,
    ( spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f5,f36,f49]) ).

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

fof(f115,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f8,f49,f73]) ).

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

fof(f114,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f12,f88,f68]) ).

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

fof(f111,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f58,f82]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f110,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f31,f58,f45]) ).

fof(f31,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f109,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f24,f63,f68]) ).

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

fof(f108,plain,
    ( spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f13,f88,f45]) ).

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

fof(f107,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f40,f45]) ).

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

fof(f106,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f40,f54]) ).

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

fof(f105,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f40,f68]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f104,plain,
    ( spl0_12
    | ~ spl0_5
    | spl0_13
    | ~ spl0_3
    | ~ spl0_4
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f34,f102,f99,f49,f45,f96,f54,f93]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != multiply(X3,sk_c6)
      | sk_c6 != inverse(X6)
      | multiply(sk_c6,sk_c7) != sk_c5
      | sk_c5 != inverse(sk_c6)
      | sk_c5 != multiply(X6,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c6 != multiply(X4,sk_c5)
      | sk_c6 != inverse(X4)
      | sk_c6 != multiply(X5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f80,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f4,f54,f49]) ).

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

fof(f78,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f54,f63]) ).

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

fof(f77,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f26,f63,f73]) ).

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

fof(f76,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f32,f58,f73]) ).

fof(f32,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c5 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f71,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f49,f68]) ).

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

fof(f66,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f45,f63]) ).

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

fof(f61,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f58,f54]) ).

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

fof(f52,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f7,f49,f45]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP345-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:34:17 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (579)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)
% 0.20/0.48  % (587)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)
% 0.20/0.52  % (571)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (586)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)
% 0.20/0.52  % (567)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  % (563)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)
% 0.20/0.52  % (578)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  % (572)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  % (593)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  % (572)Instruction limit reached!
% 0.20/0.53  % (572)------------------------------
% 0.20/0.53  % (572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (572)Termination reason: Unknown
% 0.20/0.53  % (572)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (572)Memory used [KB]: 5373
% 0.20/0.53  % (572)Time elapsed: 0.002 s
% 0.20/0.53  % (572)Instructions burned: 2 (million)
% 0.20/0.53  % (572)------------------------------
% 0.20/0.53  % (572)------------------------------
% 0.20/0.53  % (591)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  % (590)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)
% 0.20/0.53  % (571)Instruction limit reached!
% 0.20/0.53  % (571)------------------------------
% 0.20/0.53  % (571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (571)Termination reason: Unknown
% 0.20/0.53  % (571)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (571)Memory used [KB]: 5500
% 0.20/0.53  % (571)Time elapsed: 0.091 s
% 0.20/0.53  % (571)Instructions burned: 8 (million)
% 0.20/0.53  % (571)------------------------------
% 0.20/0.53  % (571)------------------------------
% 0.20/0.53  % (564)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)
% 0.20/0.53  % (565)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)
% 0.20/0.53  % (568)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)
% 0.20/0.53  % (592)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  % (562)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  % (573)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)
% 0.20/0.54  % (584)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)
% 0.20/0.54  % (570)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (581)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (582)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (583)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)
% 0.20/0.54  % (588)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  TRYING [2]
% 0.20/0.54  % (585)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  % (580)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  TRYING [3]
% 0.20/0.54  % (589)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (576)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (577)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (575)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)
% 0.20/0.54  % (574)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.55  % (563)First to succeed.
% 0.20/0.56  TRYING [3]
% 0.20/0.56  TRYING [4]
% 0.20/0.57  TRYING [4]
% 0.20/0.57  TRYING [4]
% 1.71/0.58  % (563)Refutation found. Thanks to Tanya!
% 1.71/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.71/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.58  % (563)------------------------------
% 1.71/0.58  % (563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58  % (563)Termination reason: Refutation
% 1.71/0.58  
% 1.71/0.58  % (563)Memory used [KB]: 5884
% 1.71/0.58  % (563)Time elapsed: 0.140 s
% 1.71/0.58  % (563)Instructions burned: 26 (million)
% 1.71/0.58  % (563)------------------------------
% 1.71/0.58  % (563)------------------------------
% 1.71/0.58  % (561)Success in time 0.228 s
%------------------------------------------------------------------------------