TSTP Solution File: GRP265-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP265-1 : 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 : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:21:05 EDT 2022

% Result   : Unsatisfiable 1.42s 0.57s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  251 (  25 unt;   0 def)
%            Number of atoms       :  691 ( 274 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  835 ( 395   ~; 417   |;   0   &)
%                                         (  23 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  24 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f964,plain,
    $false,
    inference(avatar_sat_refutation,[],[f104,f109,f114,f119,f120,f121,f124,f131,f133,f134,f135,f136,f137,f140,f142,f156,f157,f176,f181,f216,f225,f276,f291,f350,f354,f361,f428,f508,f541,f545,f578,f580,f668,f706,f718,f839,f846,f938,f962]) ).

fof(f962,plain,
    ( ~ spl11_1
    | ~ spl11_5
    | ~ spl11_19
    | ~ spl11_23
    | ~ spl11_24
    | spl11_30 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_19
    | ~ spl11_23
    | ~ spl11_24
    | spl11_30 ),
    inference(subsumption_resolution,[],[f940,f936]) ).

fof(f936,plain,
    ( identity = inverse(identity)
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_19
    | ~ spl11_23
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f886,f193]) ).

fof(f193,plain,
    ( identity = sk_c8
    | ~ spl11_19 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl11_19
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).

fof(f886,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_19
    | ~ spl11_23
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f214,f880]) ).

fof(f880,plain,
    ( identity = sk_c2
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f616,f877]) ).

fof(f877,plain,
    ( ! [X13] : multiply(sk_c2,X13) = X13
    | ~ spl11_1
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f876,f1]) ).

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

fof(f876,plain,
    ( ! [X13] : multiply(sk_c2,multiply(identity,X13)) = X13
    | ~ spl11_1
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f642,f193]) ).

fof(f642,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c8,X13)) = X13
    | ~ spl11_1
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f599,f1]) ).

fof(f599,plain,
    ( ! [X13] : multiply(identity,X13) = multiply(sk_c2,multiply(sk_c8,X13))
    | ~ spl11_1
    | ~ spl11_24 ),
    inference(backward_demodulation,[],[f424,f219]) ).

fof(f219,plain,
    ( identity = sk_c7
    | ~ spl11_24 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl11_24
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).

fof(f424,plain,
    ( ! [X13] : multiply(sk_c2,multiply(sk_c8,X13)) = multiply(sk_c7,X13)
    | ~ spl11_1 ),
    inference(forward_demodulation,[],[f234,f76]) ).

fof(f76,plain,
    ( sk_c7 = sF4
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl11_1
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f234,plain,
    ! [X13] : multiply(sF4,X13) = multiply(sk_c2,multiply(sk_c8,X13)),
    inference(superposition,[],[f3,f41]) ).

fof(f41,plain,
    multiply(sk_c2,sk_c8) = sF4,
    introduced(function_definition,[]) ).

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(f616,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f612,f1]) ).

fof(f612,plain,
    ( multiply(identity,sk_c2) = multiply(sk_c2,identity)
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_24 ),
    inference(backward_demodulation,[],[f560,f219]) ).

fof(f560,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c2,identity)
    | ~ spl11_1
    | ~ spl11_5 ),
    inference(superposition,[],[f424,f434]) ).

fof(f434,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl11_5 ),
    inference(forward_demodulation,[],[f169,f94]) ).

fof(f94,plain,
    ( sk_c8 = sF2
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl11_5
  <=> sk_c8 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f169,plain,
    identity = multiply(sF2,sk_c2),
    inference(superposition,[],[f2,f37]) ).

fof(f37,plain,
    inverse(sk_c2) = sF2,
    introduced(function_definition,[]) ).

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

fof(f214,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl11_23 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl11_23
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).

fof(f940,plain,
    ( identity != inverse(identity)
    | ~ spl11_19
    | ~ spl11_24
    | spl11_30 ),
    inference(forward_demodulation,[],[f939,f219]) ).

fof(f939,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl11_19
    | spl11_30 ),
    inference(forward_demodulation,[],[f573,f193]) ).

fof(f573,plain,
    ( sk_c7 != inverse(sk_c8)
    | spl11_30 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl11_30
  <=> sk_c7 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).

fof(f938,plain,
    ( ~ spl11_1
    | ~ spl11_5
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_23
    | ~ spl11_24 ),
    inference(avatar_contradiction_clause,[],[f937]) ).

fof(f937,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_23
    | ~ spl11_24 ),
    inference(subsumption_resolution,[],[f936,f825]) ).

fof(f825,plain,
    ( identity != inverse(identity)
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(trivial_inequality_removal,[],[f820]) ).

fof(f820,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(superposition,[],[f795,f1]) ).

fof(f795,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f794,f219]) ).

fof(f794,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f793,f193]) ).

fof(f793,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | sk_c7 != inverse(X6) )
    | ~ spl11_14
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f152,f219]) ).

fof(f152,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl11_14 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl11_14
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).

fof(f846,plain,
    ( spl11_16
    | ~ spl11_9 ),
    inference(avatar_split_clause,[],[f840,f111,f178]) ).

fof(f178,plain,
    ( spl11_16
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).

fof(f111,plain,
    ( spl11_9
  <=> sk_c9 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).

fof(f840,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f34,f113]) ).

fof(f113,plain,
    ( sk_c9 = sF0
    | ~ spl11_9 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f34,plain,
    inverse(sk_c1) = sF0,
    introduced(function_definition,[]) ).

fof(f839,plain,
    ( ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(avatar_contradiction_clause,[],[f838]) ).

fof(f838,plain,
    ( $false
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(subsumption_resolution,[],[f837,f649]) ).

fof(f649,plain,
    ( identity = inverse(identity)
    | ~ spl11_7
    | ~ spl11_24 ),
    inference(backward_demodulation,[],[f588,f647]) ).

fof(f647,plain,
    ( identity = sk_c4
    | ~ spl11_7
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f596,f2]) ).

fof(f596,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl11_7
    | ~ spl11_24 ),
    inference(backward_demodulation,[],[f263,f219]) ).

fof(f263,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl11_7 ),
    inference(superposition,[],[f236,f167]) ).

fof(f167,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl11_7 ),
    inference(superposition,[],[f2,f162]) ).

fof(f162,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl11_7 ),
    inference(backward_demodulation,[],[f43,f103]) ).

fof(f103,plain,
    ( sk_c7 = sF5
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl11_7
  <=> sk_c7 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f43,plain,
    inverse(sk_c4) = sF5,
    introduced(function_definition,[]) ).

fof(f236,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f228,f1]) ).

fof(f228,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

fof(f588,plain,
    ( identity = inverse(sk_c4)
    | ~ spl11_7
    | ~ spl11_24 ),
    inference(backward_demodulation,[],[f162,f219]) ).

fof(f837,plain,
    ( identity != inverse(identity)
    | ~ spl11_7
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f824,f649]) ).

fof(f824,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(trivial_inequality_removal,[],[f822]) ).

fof(f822,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl11_14
    | ~ spl11_19
    | ~ spl11_24 ),
    inference(superposition,[],[f795,f2]) ).

fof(f718,plain,
    ( ~ spl11_19
    | ~ spl11_7
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(avatar_split_clause,[],[f717,f218,f154,f101,f192]) ).

fof(f154,plain,
    ( spl11_15
  <=> ! [X8] :
        ( sk_c7 != inverse(X8)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).

fof(f717,plain,
    ( identity != sk_c8
    | ~ spl11_7
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(subsumption_resolution,[],[f716,f649]) ).

fof(f716,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl11_7
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f696,f649]) ).

fof(f696,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(identity))
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f694,f1]) ).

fof(f694,plain,
    ( sk_c8 != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(superposition,[],[f641,f2]) ).

fof(f641,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(forward_demodulation,[],[f586,f219]) ).

fof(f586,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl11_15
    | ~ spl11_24 ),
    inference(backward_demodulation,[],[f155,f219]) ).

fof(f155,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(sk_c7,multiply(X8,sk_c7))
        | sk_c7 != inverse(X8) )
    | ~ spl11_15 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f706,plain,
    ( ~ spl11_4
    | ~ spl11_9
    | spl11_19 ),
    inference(avatar_contradiction_clause,[],[f705]) ).

fof(f705,plain,
    ( $false
    | ~ spl11_4
    | ~ spl11_9
    | spl11_19 ),
    inference(subsumption_resolution,[],[f704,f194]) ).

fof(f194,plain,
    ( identity != sk_c8
    | spl11_19 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f704,plain,
    ( identity = sk_c8
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f702,f2]) ).

fof(f702,plain,
    ( sk_c8 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(superposition,[],[f236,f430]) ).

fof(f430,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f429,f113]) ).

fof(f429,plain,
    ( sk_c9 = multiply(sF0,sk_c8)
    | ~ spl11_4 ),
    inference(forward_demodulation,[],[f270,f89]) ).

fof(f89,plain,
    ( sk_c8 = sF6
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl11_4
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f270,plain,
    sk_c9 = multiply(sF0,sF6),
    inference(forward_demodulation,[],[f258,f34]) ).

fof(f258,plain,
    sk_c9 = multiply(inverse(sk_c1),sF6),
    inference(superposition,[],[f236,f44]) ).

fof(f44,plain,
    multiply(sk_c1,sk_c9) = sF6,
    introduced(function_definition,[]) ).

fof(f668,plain,
    ( ~ spl11_24
    | spl11_31 ),
    inference(avatar_contradiction_clause,[],[f667]) ).

fof(f667,plain,
    ( $false
    | ~ spl11_24
    | spl11_31 ),
    inference(subsumption_resolution,[],[f666,f1]) ).

fof(f666,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | ~ spl11_24
    | spl11_31 ),
    inference(forward_demodulation,[],[f577,f219]) ).

fof(f577,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | spl11_31 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl11_31
  <=> sk_c8 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).

fof(f580,plain,
    ( spl11_24
    | ~ spl11_1
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f579,f92,f74,f218]) ).

fof(f579,plain,
    ( identity = sk_c7
    | ~ spl11_1
    | ~ spl11_5 ),
    inference(forward_demodulation,[],[f568,f2]) ).

fof(f568,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl11_1
    | ~ spl11_5 ),
    inference(superposition,[],[f236,f423]) ).

fof(f423,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl11_1
    | ~ spl11_5 ),
    inference(backward_demodulation,[],[f419,f94]) ).

fof(f419,plain,
    ( sk_c8 = multiply(sF2,sk_c7)
    | ~ spl11_1 ),
    inference(backward_demodulation,[],[f277,f76]) ).

fof(f277,plain,
    sk_c8 = multiply(sF2,sF4),
    inference(forward_demodulation,[],[f266,f37]) ).

fof(f266,plain,
    sk_c8 = multiply(inverse(sk_c2),sF4),
    inference(superposition,[],[f236,f41]) ).

fof(f578,plain,
    ( ~ spl11_30
    | ~ spl11_31
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_15 ),
    inference(avatar_split_clause,[],[f567,f154,f92,f74,f575,f571]) ).

fof(f567,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | sk_c7 != inverse(sk_c8)
    | ~ spl11_1
    | ~ spl11_5
    | ~ spl11_15 ),
    inference(superposition,[],[f155,f423]) ).

fof(f545,plain,
    ( ~ spl11_4
    | spl11_6
    | ~ spl11_9
    | ~ spl11_10 ),
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | ~ spl11_4
    | spl11_6
    | ~ spl11_9
    | ~ spl11_10 ),
    inference(subsumption_resolution,[],[f543,f97]) ).

fof(f97,plain,
    ( sk_c8 != sF7
    | spl11_6 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl11_6
  <=> sk_c8 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f543,plain,
    ( sk_c8 = sF7
    | ~ spl11_4
    | ~ spl11_9
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f542,f432]) ).

fof(f432,plain,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | ~ spl11_4 ),
    inference(forward_demodulation,[],[f44,f89]) ).

fof(f542,plain,
    ( multiply(sk_c1,sk_c9) = sF7
    | ~ spl11_9
    | ~ spl11_10 ),
    inference(forward_demodulation,[],[f46,f398]) ).

fof(f398,plain,
    ( sk_c1 = sk_c3
    | ~ spl11_9
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f259,f393]) ).

fof(f393,plain,
    ( sk_c1 = multiply(inverse(sk_c9),identity)
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f267,f113]) ).

fof(f267,plain,
    sk_c1 = multiply(inverse(sF0),identity),
    inference(superposition,[],[f236,f165]) ).

fof(f165,plain,
    identity = multiply(sF0,sk_c1),
    inference(superposition,[],[f2,f34]) ).

fof(f259,plain,
    ( sk_c3 = multiply(inverse(sk_c9),identity)
    | ~ spl11_10 ),
    inference(superposition,[],[f236,f166]) ).

fof(f166,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl11_10 ),
    inference(superposition,[],[f2,f160]) ).

fof(f160,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl11_10 ),
    inference(backward_demodulation,[],[f55,f118]) ).

fof(f118,plain,
    ( sk_c9 = sF10
    | ~ spl11_10 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl11_10
  <=> sk_c9 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

fof(f55,plain,
    inverse(sk_c3) = sF10,
    introduced(function_definition,[]) ).

fof(f46,plain,
    multiply(sk_c3,sk_c9) = sF7,
    introduced(function_definition,[]) ).

fof(f541,plain,
    ( ~ spl11_6
    | ~ spl11_10
    | spl11_19 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f540,plain,
    ( $false
    | ~ spl11_6
    | ~ spl11_10
    | spl11_19 ),
    inference(subsumption_resolution,[],[f539,f194]) ).

fof(f539,plain,
    ( identity = sk_c8
    | ~ spl11_6
    | ~ spl11_10 ),
    inference(forward_demodulation,[],[f536,f2]) ).

fof(f536,plain,
    ( sk_c8 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl11_6
    | ~ spl11_10 ),
    inference(superposition,[],[f236,f273]) ).

fof(f273,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl11_6
    | ~ spl11_10 ),
    inference(forward_demodulation,[],[f260,f160]) ).

fof(f260,plain,
    ( sk_c9 = multiply(inverse(sk_c3),sk_c8)
    | ~ spl11_6 ),
    inference(superposition,[],[f236,f159]) ).

fof(f159,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl11_6 ),
    inference(backward_demodulation,[],[f46,f98]) ).

fof(f98,plain,
    ( sk_c8 = sF7
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f508,plain,
    ( ~ spl11_2
    | ~ spl11_7
    | spl11_19 ),
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f507,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_7
    | spl11_19 ),
    inference(subsumption_resolution,[],[f506,f194]) ).

fof(f506,plain,
    ( identity = sk_c8
    | ~ spl11_2
    | ~ spl11_7 ),
    inference(forward_demodulation,[],[f504,f2]) ).

fof(f504,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl11_2
    | ~ spl11_7 ),
    inference(superposition,[],[f236,f271]) ).

fof(f271,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl11_2
    | ~ spl11_7 ),
    inference(forward_demodulation,[],[f261,f162]) ).

fof(f261,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | ~ spl11_2 ),
    inference(superposition,[],[f236,f161]) ).

fof(f161,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl11_2 ),
    inference(backward_demodulation,[],[f50,f80]) ).

fof(f80,plain,
    ( sk_c8 = sF8
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl11_2
  <=> sk_c8 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f50,plain,
    multiply(sk_c4,sk_c7) = sF8,
    introduced(function_definition,[]) ).

fof(f428,plain,
    ( ~ spl11_5
    | spl11_23 ),
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | ~ spl11_5
    | spl11_23 ),
    inference(subsumption_resolution,[],[f426,f215]) ).

fof(f215,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl11_23 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f426,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl11_5 ),
    inference(forward_demodulation,[],[f37,f94]) ).

fof(f361,plain,
    ( ~ spl11_24
    | ~ spl11_19
    | spl11_22 ),
    inference(avatar_split_clause,[],[f360,f208,f192,f218]) ).

fof(f208,plain,
    ( spl11_22
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).

fof(f360,plain,
    ( identity != sk_c7
    | ~ spl11_19
    | spl11_22 ),
    inference(forward_demodulation,[],[f210,f193]) ).

fof(f210,plain,
    ( sk_c8 != sk_c7
    | spl11_22 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f354,plain,
    ( ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22
    | spl11_25 ),
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22
    | spl11_25 ),
    inference(subsumption_resolution,[],[f352,f341]) ).

fof(f341,plain,
    ( identity = inverse(identity)
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f327,f339]) ).

fof(f339,plain,
    ( identity = sk_c4
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f332,f2]) ).

fof(f332,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f302,f193]) ).

fof(f302,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl11_7
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f263,f209]) ).

fof(f209,plain,
    ( sk_c8 = sk_c7
    | ~ spl11_22 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f327,plain,
    ( identity = inverse(sk_c4)
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f297,f193]) ).

fof(f297,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl11_7
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f162,f209]) ).

fof(f352,plain,
    ( identity != inverse(identity)
    | ~ spl11_7
    | ~ spl11_19
    | ~ spl11_22
    | spl11_25 ),
    inference(forward_demodulation,[],[f315,f341]) ).

fof(f315,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl11_19
    | spl11_25 ),
    inference(backward_demodulation,[],[f224,f193]) ).

fof(f224,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | spl11_25 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl11_25
  <=> sk_c8 = inverse(inverse(sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).

fof(f350,plain,
    ( spl11_24
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(avatar_split_clause,[],[f314,f208,f192,f218]) ).

fof(f314,plain,
    ( identity = sk_c7
    | ~ spl11_19
    | ~ spl11_22 ),
    inference(backward_demodulation,[],[f209,f193]) ).

fof(f291,plain,
    ( spl11_22
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_11 ),
    inference(avatar_split_clause,[],[f290,f127,f106,f101,f83,f78,f208]) ).

fof(f83,plain,
    ( spl11_3
  <=> sk_c6 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f106,plain,
    ( spl11_8
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f127,plain,
    ( spl11_11
  <=> sk_c7 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

fof(f290,plain,
    ( sk_c8 = sk_c7
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f271,f289]) ).

fof(f289,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f158,f286]) ).

fof(f286,plain,
    ( sk_c8 = sk_c6
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f283,f161]) ).

fof(f283,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl11_3
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f163,f278]) ).

fof(f278,plain,
    ( sk_c4 = sk_c5
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f264,f263]) ).

fof(f264,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl11_11 ),
    inference(superposition,[],[f236,f168]) ).

fof(f168,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl11_11 ),
    inference(superposition,[],[f2,f164]) ).

fof(f164,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f35,f129]) ).

fof(f129,plain,
    ( sk_c7 = sF1
    | ~ spl11_11 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f35,plain,
    inverse(sk_c5) = sF1,
    introduced(function_definition,[]) ).

fof(f163,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl11_3 ),
    inference(backward_demodulation,[],[f39,f85]) ).

fof(f85,plain,
    ( sk_c6 = sF3
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f39,plain,
    multiply(sk_c5,sk_c7) = sF3,
    introduced(function_definition,[]) ).

fof(f158,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl11_8 ),
    inference(backward_demodulation,[],[f53,f108]) ).

fof(f108,plain,
    ( sk_c8 = sF9
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f53,plain,
    multiply(sk_c7,sk_c6) = sF9,
    introduced(function_definition,[]) ).

fof(f276,plain,
    ( spl11_22
    | ~ spl11_3
    | ~ spl11_8
    | ~ spl11_11 ),
    inference(avatar_split_clause,[],[f275,f127,f106,f83,f208]) ).

fof(f275,plain,
    ( sk_c8 = sk_c7
    | ~ spl11_3
    | ~ spl11_8
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f274,f158]) ).

fof(f274,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl11_3
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f265,f164]) ).

fof(f265,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl11_3 ),
    inference(superposition,[],[f236,f163]) ).

fof(f225,plain,
    ( ~ spl11_24
    | ~ spl11_25
    | ~ spl11_13 ),
    inference(avatar_split_clause,[],[f201,f148,f222,f218]) ).

fof(f148,plain,
    ( spl11_13
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).

fof(f201,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | identity != sk_c7
    | ~ spl11_13 ),
    inference(superposition,[],[f149,f2]) ).

fof(f149,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl11_13 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f216,plain,
    ( ~ spl11_1
    | ~ spl11_23
    | ~ spl11_13 ),
    inference(avatar_split_clause,[],[f202,f148,f213,f74]) ).

fof(f202,plain,
    ( sk_c8 != inverse(sk_c2)
    | sk_c7 != sF4
    | ~ spl11_13 ),
    inference(superposition,[],[f149,f41]) ).

fof(f181,plain,
    ( ~ spl11_4
    | ~ spl11_16
    | ~ spl11_12 ),
    inference(avatar_split_clause,[],[f172,f145,f178,f87]) ).

fof(f145,plain,
    ( spl11_12
  <=> ! [X5] :
        ( sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

fof(f172,plain,
    ( sk_c9 != inverse(sk_c1)
    | sk_c8 != sF6
    | ~ spl11_12 ),
    inference(superposition,[],[f146,f44]) ).

fof(f146,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != inverse(X5) )
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f176,plain,
    ( ~ spl11_6
    | ~ spl11_10
    | ~ spl11_12 ),
    inference(avatar_contradiction_clause,[],[f175]) ).

fof(f175,plain,
    ( $false
    | ~ spl11_6
    | ~ spl11_10
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f174,f160]) ).

fof(f174,plain,
    ( sk_c9 != inverse(sk_c3)
    | ~ spl11_6
    | ~ spl11_12 ),
    inference(trivial_inequality_removal,[],[f173]) ).

fof(f173,plain,
    ( sk_c8 != sk_c8
    | sk_c9 != inverse(sk_c3)
    | ~ spl11_6
    | ~ spl11_12 ),
    inference(superposition,[],[f146,f159]) ).

fof(f157,plain,
    ( spl11_6
    | spl11_4 ),
    inference(avatar_split_clause,[],[f47,f87,f96]) ).

fof(f47,plain,
    ( sk_c8 = sF6
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f4,f44,f46]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f156,plain,
    ( spl11_12
    | spl11_13
    | spl11_14
    | spl11_12
    | spl11_15 ),
    inference(avatar_split_clause,[],[f33,f154,f145,f151,f148,f145]) ).

fof(f33,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c7 != inverse(X8)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c7 != inverse(X6)
      | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7))
      | sk_c8 != inverse(X4)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c9 != inverse(X3)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c9 != inverse(X5) ),
    inference(equality_resolution,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c7 != inverse(X6)
      | sk_c8 != multiply(sk_c7,X7)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != inverse(X4)
      | sk_c7 != inverse(X8)
      | sk_c7 != multiply(X4,sk_c8)
      | multiply(X8,sk_c7) != X7
      | sk_c8 != multiply(X3,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f142,plain,
    ( spl11_9
    | spl11_10 ),
    inference(avatar_split_clause,[],[f66,f116,f111]) ).

fof(f66,plain,
    ( sk_c9 = sF10
    | sk_c9 = sF0 ),
    inference(definition_folding,[],[f12,f55,f34]) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f140,plain,
    ( spl11_1
    | spl11_3 ),
    inference(avatar_split_clause,[],[f72,f83,f74]) ).

fof(f72,plain,
    ( sk_c6 = sF3
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f23,f41,f39]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f137,plain,
    ( spl11_8
    | spl11_5 ),
    inference(avatar_split_clause,[],[f71,f92,f106]) ).

fof(f71,plain,
    ( sk_c8 = sF2
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f29,f37,f53]) ).

fof(f29,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f136,plain,
    ( spl11_5
    | spl11_10 ),
    inference(avatar_split_clause,[],[f56,f116,f92]) ).

fof(f56,plain,
    ( sk_c9 = sF10
    | sk_c8 = sF2 ),
    inference(definition_folding,[],[f26,f55,f37]) ).

fof(f26,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f135,plain,
    ( spl11_11
    | spl11_1 ),
    inference(avatar_split_clause,[],[f42,f74,f127]) ).

fof(f42,plain,
    ( sk_c7 = sF4
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f24,f41,f35]) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f134,plain,
    ( spl11_1
    | spl11_6 ),
    inference(avatar_split_clause,[],[f61,f96,f74]) ).

fof(f61,plain,
    ( sk_c8 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f18,f41,f46]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f133,plain,
    ( spl11_7
    | spl11_5 ),
    inference(avatar_split_clause,[],[f59,f92,f101]) ).

fof(f59,plain,
    ( sk_c8 = sF2
    | sk_c7 = sF5 ),
    inference(definition_folding,[],[f28,f37,f43]) ).

fof(f28,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f131,plain,
    ( spl11_5
    | spl11_11 ),
    inference(avatar_split_clause,[],[f38,f127,f92]) ).

fof(f38,plain,
    ( sk_c7 = sF1
    | sk_c8 = sF2 ),
    inference(definition_folding,[],[f31,f35,f37]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f124,plain,
    ( spl11_1
    | spl11_10 ),
    inference(avatar_split_clause,[],[f60,f116,f74]) ).

fof(f60,plain,
    ( sk_c9 = sF10
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f19,f41,f55]) ).

fof(f19,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f121,plain,
    ( spl11_2
    | spl11_5 ),
    inference(avatar_split_clause,[],[f52,f92,f78]) ).

fof(f52,plain,
    ( sk_c8 = sF2
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f27,f37,f50]) ).

fof(f27,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f120,plain,
    ( spl11_3
    | spl11_5 ),
    inference(avatar_split_clause,[],[f40,f92,f83]) ).

fof(f40,plain,
    ( sk_c8 = sF2
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f30,f39,f37]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f119,plain,
    ( spl11_4
    | spl11_10 ),
    inference(avatar_split_clause,[],[f63,f116,f87]) ).

fof(f63,plain,
    ( sk_c9 = sF10
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f5,f55,f44]) ).

fof(f5,axiom,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f114,plain,
    ( spl11_6
    | spl11_9 ),
    inference(avatar_split_clause,[],[f62,f111,f96]) ).

fof(f62,plain,
    ( sk_c9 = sF0
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f11,f46,f34]) ).

fof(f11,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f109,plain,
    ( spl11_1
    | spl11_8 ),
    inference(avatar_split_clause,[],[f64,f106,f74]) ).

fof(f64,plain,
    ( sk_c8 = sF9
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f22,f41,f53]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f104,plain,
    ( spl11_1
    | spl11_7 ),
    inference(avatar_split_clause,[],[f65,f101,f74]) ).

fof(f65,plain,
    ( sk_c7 = sF5
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f21,f41,f43]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : GRP265-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 29 22:24:18 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.47  % (5390)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)
% 0.22/0.48  TRYING [1]
% 0.22/0.49  % (5416)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.49  TRYING [2]
% 0.22/0.49  TRYING [3]
% 0.22/0.49  % (5409)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.50  TRYING [4]
% 0.22/0.50  % (5399)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.51  % (5399)Instruction limit reached!
% 0.22/0.51  % (5399)------------------------------
% 0.22/0.51  % (5399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51  % (5399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51  % (5399)Termination reason: Unknown
% 0.22/0.51  % (5399)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (5399)Memory used [KB]: 5500
% 0.22/0.51  % (5399)Time elapsed: 0.117 s
% 0.22/0.51  % (5399)Instructions burned: 3 (million)
% 0.22/0.51  % (5399)------------------------------
% 0.22/0.51  % (5399)------------------------------
% 0.22/0.52  % (5414)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)
% 0.22/0.53  % (5408)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.28/0.53  % (5397)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.53  TRYING [1]
% 1.28/0.53  TRYING [2]
% 1.28/0.54  TRYING [3]
% 1.28/0.54  % (5397)Instruction limit reached!
% 1.28/0.54  % (5397)------------------------------
% 1.28/0.54  % (5397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (5397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (5397)Termination reason: Unknown
% 1.28/0.54  % (5397)Termination phase: Saturation
% 1.28/0.54  
% 1.28/0.54  % (5397)Memory used [KB]: 5500
% 1.28/0.54  % (5397)Time elapsed: 0.075 s
% 1.28/0.54  % (5397)Instructions burned: 7 (million)
% 1.28/0.54  % (5397)------------------------------
% 1.28/0.54  % (5397)------------------------------
% 1.28/0.54  % (5409)First to succeed.
% 1.28/0.54  % (5395)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)
% 1.28/0.54  % (5391)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)
% 1.42/0.55  TRYING [5]
% 1.42/0.55  % (5396)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)
% 1.42/0.55  % (5394)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55  % (5417)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)
% 1.42/0.55  TRYING [4]
% 1.42/0.55  % (5402)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)
% 1.42/0.55  % (5401)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.55  % (5404)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55  % (5410)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)
% 1.42/0.55  % (5403)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.56  % (5421)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)
% 1.42/0.56  % (5405)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)
% 1.42/0.56  % (5400)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)
% 1.42/0.56  % (5392)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)
% 1.42/0.56  % (5419)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.56  % (5415)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.57  % (5418)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)
% 1.42/0.57  % (5409)Refutation found. Thanks to Tanya!
% 1.42/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.57  % (5409)------------------------------
% 1.42/0.57  % (5409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (5409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (5409)Termination reason: Refutation
% 1.42/0.57  
% 1.42/0.57  % (5409)Memory used [KB]: 5884
% 1.42/0.57  % (5409)Time elapsed: 0.144 s
% 1.42/0.57  % (5409)Instructions burned: 30 (million)
% 1.42/0.57  % (5409)------------------------------
% 1.42/0.57  % (5409)------------------------------
% 1.42/0.57  % (5386)Success in time 0.196 s
%------------------------------------------------------------------------------