TSTP Solution File: GRP311-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 May  1 02:28:29 EDT 2024

% Result   : Unsatisfiable 0.67s 0.82s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  404 (  35 unt;   0 def)
%            Number of atoms       : 1762 ( 345 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 2593 (1235   ~;1340   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   30 (  28 usr;  19 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-2 aty)
%            Number of variables   :   88 (  88   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1053,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f108,f118,f123,f124,f125,f126,f127,f132,f133,f134,f135,f136,f141,f142,f143,f144,f145,f150,f151,f152,f153,f154,f159,f160,f161,f162,f163,f189,f243,f252,f389,f416,f436,f453,f594,f699,f768,f841,f847,f886,f904,f907,f996,f1042,f1045,f1051]) ).

fof(f1051,plain,
    ( ~ spl21_7
    | ~ spl21_13 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(subsumption_resolution,[],[f43,f1049]) ).

fof(f1049,plain,
    ( sP8(sk_c5)
    | ~ spl21_7
    | ~ spl21_13 ),
    inference(backward_demodulation,[],[f171,f122]) ).

fof(f122,plain,
    ( sk_c5 = sF16
    | ~ spl21_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl21_7
  <=> sk_c5 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).

fof(f171,plain,
    ( sP8(sF16)
    | ~ spl21_13 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl21_13
  <=> sP8(sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).

fof(f43,plain,
    ~ sP8(sk_c5),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f1045,plain,
    ( ~ spl21_1
    | spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1044,plain,
    ( $false
    | ~ spl21_1
    | spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(subsumption_resolution,[],[f1032,f1040]) ).

fof(f1040,plain,
    ( sk_c7 != sk_c5
    | spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f96,f1035]) ).

fof(f1035,plain,
    ( sk_c7 = sF10
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f1034,f1001]) ).

fof(f1001,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f1,f997]) ).

fof(f997,plain,
    ( identity = sk_c7
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f922,f932]) ).

fof(f932,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f195,f122]) ).

fof(f195,plain,
    identity = multiply(sF16,sk_c7),
    inference(superposition,[],[f2,f58]) ).

fof(f58,plain,
    inverse(sk_c7) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',left_inverse) ).

fof(f922,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f470,f909]) ).

fof(f909,plain,
    ( sk_c7 = sk_c6
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f140,f853]) ).

fof(f853,plain,
    ( sk_c7 = sF18
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f70,f560]) ).

fof(f560,plain,
    ( sk_c7 = multiply(sk_c7,sk_c2)
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f473,f477]) ).

fof(f477,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl21_10 ),
    inference(backward_demodulation,[],[f76,f149]) ).

fof(f149,plain,
    ( sk_c2 = sF19
    | ~ spl21_10 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl21_10
  <=> sk_c2 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).

fof(f76,plain,
    multiply(sk_c1,sk_c7) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f473,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f277,f158]) ).

fof(f158,plain,
    ( sk_c7 = sF20
    | ~ spl21_11 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl21_11
  <=> sk_c7 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).

fof(f277,plain,
    ! [X0] : multiply(sF20,multiply(sk_c1,X0)) = X0,
    inference(forward_demodulation,[],[f276,f1]) ).

fof(f276,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF20,multiply(sk_c1,X0)),
    inference(superposition,[],[f3,f198]) ).

fof(f198,plain,
    identity = multiply(sF20,sk_c1),
    inference(superposition,[],[f2,f82]) ).

fof(f82,plain,
    inverse(sk_c1) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',associativity) ).

fof(f70,plain,
    multiply(sk_c7,sk_c2) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f140,plain,
    ( sk_c6 = sF18
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl21_9
  <=> sk_c6 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f470,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl21_8 ),
    inference(forward_demodulation,[],[f64,f131]) ).

fof(f131,plain,
    ( sk_c7 = sF17
    | ~ spl21_8 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl21_8
  <=> sk_c7 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).

fof(f64,plain,
    multiply(sk_c5,sk_c6) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',left_identity) ).

fof(f1034,plain,
    ( sF10 = multiply(sk_c7,sk_c7)
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f47,f909]) ).

fof(f47,plain,
    multiply(sk_c6,sk_c7) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f96,plain,
    ( sk_c5 != sF10
    | spl21_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl21_2
  <=> sk_c5 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f1032,plain,
    ( sk_c7 = sk_c5
    | ~ spl21_1
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f918,f1001]) ).

fof(f918,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl21_1
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f249,f909]) ).

fof(f249,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl21_1 ),
    inference(backward_demodulation,[],[f48,f93]) ).

fof(f93,plain,
    ( sk_c5 = sF11
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl21_1
  <=> sk_c5 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f48,plain,
    multiply(sk_c7,sk_c6) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f1042,plain,
    ( spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1041,plain,
    ( $false
    | spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(subsumption_resolution,[],[f1040,f1019]) ).

fof(f1019,plain,
    ( sk_c7 = sk_c5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f923,f1018]) ).

fof(f1018,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f1006,f1003]) ).

fof(f1003,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f931,f1001]) ).

fof(f931,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f217,f122]) ).

fof(f217,plain,
    ! [X0] : multiply(sF16,multiply(sk_c7,X0)) = X0,
    inference(forward_demodulation,[],[f211,f1]) ).

fof(f211,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF16,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f195]) ).

fof(f1006,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f926,f1001]) ).

fof(f926,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl21_6
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f867,f909]) ).

fof(f867,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl21_6 ),
    inference(superposition,[],[f3,f859]) ).

fof(f859,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f117,plain,
    ( sk_c6 = sF15
    | ~ spl21_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl21_6
  <=> sk_c6 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).

fof(f56,plain,
    multiply(sk_c4,sk_c5) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f923,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl21_6
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f859,f909]) ).

fof(f996,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(avatar_contradiction_clause,[],[f995]) ).

fof(f995,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f994,f912]) ).

fof(f912,plain,
    ( ~ sP6(sk_c7)
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f41,f909]) ).

fof(f41,plain,
    ~ sP6(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f994,plain,
    ( sP6(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(forward_demodulation,[],[f993,f935]) ).

fof(f935,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f931,f930]) ).

fof(f930,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f264,f920]) ).

fof(f920,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f468,f909]) ).

fof(f468,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8 ),
    inference(forward_demodulation,[],[f244,f131]) ).

fof(f244,plain,
    ( ! [X0] : multiply(sF17,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl21_1
    | ~ spl21_2 ),
    inference(backward_demodulation,[],[f232,f93]) ).

fof(f232,plain,
    ( ! [X0] : multiply(sF17,X0) = multiply(sk_c6,multiply(sF11,X0))
    | ~ spl21_2 ),
    inference(superposition,[],[f3,f222]) ).

fof(f222,plain,
    ( sF17 = multiply(sk_c6,sF11)
    | ~ spl21_2 ),
    inference(forward_demodulation,[],[f218,f64]) ).

fof(f218,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sF11)
    | ~ spl21_2 ),
    inference(superposition,[],[f205,f48]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl21_2 ),
    inference(superposition,[],[f3,f194]) ).

fof(f194,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl21_2 ),
    inference(backward_demodulation,[],[f47,f97]) ).

fof(f97,plain,
    ( sk_c5 = sF10
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f264,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl21_1
    | ~ spl21_2 ),
    inference(superposition,[],[f247,f205]) ).

fof(f247,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
    | ~ spl21_1 ),
    inference(backward_demodulation,[],[f202,f93]) ).

fof(f202,plain,
    ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sF11,X0),
    inference(superposition,[],[f3,f48]) ).

fof(f993,plain,
    ( sP6(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f992,f40]) ).

fof(f40,plain,
    ~ sP5(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f992,plain,
    ( sP5(sk_c7)
    | sP6(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(superposition,[],[f945,f977]) ).

fof(f977,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f974,f976]) ).

fof(f976,plain,
    ( identity = sk_c7
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f975,f935]) ).

fof(f975,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f932,f957]) ).

fof(f957,plain,
    ( sk_c7 = sk_c5
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f955,f929]) ).

fof(f929,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f265,f919]) ).

fof(f919,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f467,f909]) ).

fof(f467,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8 ),
    inference(forward_demodulation,[],[f246,f131]) ).

fof(f246,plain,
    ( sF17 = multiply(sk_c6,sk_c5)
    | ~ spl21_1
    | ~ spl21_2 ),
    inference(backward_demodulation,[],[f222,f93]) ).

fof(f265,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7)
    | ~ spl21_1
    | ~ spl21_2 ),
    inference(superposition,[],[f247,f194]) ).

fof(f955,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f856,f953]) ).

fof(f953,plain,
    ( sk_c7 = sk_c2
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f950,f951]) ).

fof(f951,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f937,f935]) ).

fof(f937,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f854,f935]) ).

fof(f854,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c7,X0)
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f203,f853]) ).

fof(f203,plain,
    ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sF18,X0),
    inference(superposition,[],[f3,f70]) ).

fof(f950,plain,
    ( sk_c2 = multiply(sk_c2,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f477,f936]) ).

fof(f936,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,X0)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f476,f935]) ).

fof(f476,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl21_10 ),
    inference(backward_demodulation,[],[f210,f149]) ).

fof(f210,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF19,X0),
    inference(superposition,[],[f3,f76]) ).

fof(f856,plain,
    ( sk_c5 = multiply(sk_c5,sk_c2)
    | ~ spl21_2
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f855,f194]) ).

fof(f855,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c2)
    | ~ spl21_2
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f219,f853]) ).

fof(f219,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c6,sF18)
    | ~ spl21_2 ),
    inference(superposition,[],[f205,f70]) ).

fof(f974,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f475,f949]) ).

fof(f949,plain,
    ( identity = sk_c1
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f474,f935]) ).

fof(f474,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f198,f158]) ).

fof(f475,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f82,f158]) ).

fof(f945,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c7)) )
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(backward_demodulation,[],[f178,f935]) ).

fof(f178,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(sk_c7,multiply(X4,sk_c7))) )
    | ~ spl21_15 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl21_15
  <=> ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(sk_c7,multiply(X4,sk_c7))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).

fof(f907,plain,
    ( ~ spl21_2
    | ~ spl21_16 ),
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f906,plain,
    ( $false
    | ~ spl21_2
    | ~ spl21_16 ),
    inference(subsumption_resolution,[],[f905,f39]) ).

fof(f39,plain,
    ~ sP4(sk_c5),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f905,plain,
    ( sP4(sk_c5)
    | ~ spl21_2
    | ~ spl21_16 ),
    inference(forward_demodulation,[],[f182,f97]) ).

fof(f182,plain,
    ( sP4(sF10)
    | ~ spl21_16 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl21_16
  <=> sP4(sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).

fof(f904,plain,
    ( ~ spl21_5
    | ~ spl21_6
    | ~ spl21_18 ),
    inference(avatar_contradiction_clause,[],[f903]) ).

fof(f903,plain,
    ( $false
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_18 ),
    inference(subsumption_resolution,[],[f902,f36]) ).

fof(f36,plain,
    ~ sP1(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f902,plain,
    ( sP1(sk_c6)
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_18 ),
    inference(forward_demodulation,[],[f901,f860]) ).

fof(f860,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl21_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f112,plain,
    ( sk_c6 = sF14
    | ~ spl21_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl21_5
  <=> sk_c6 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).

fof(f54,plain,
    inverse(sk_c4) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f901,plain,
    ( sP1(inverse(sk_c4))
    | ~ spl21_6
    | ~ spl21_18 ),
    inference(subsumption_resolution,[],[f900,f35]) ).

fof(f35,plain,
    ~ sP0(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f900,plain,
    ( sP0(sk_c6)
    | sP1(inverse(sk_c4))
    | ~ spl21_6
    | ~ spl21_18 ),
    inference(superposition,[],[f188,f859]) ).

fof(f188,plain,
    ( ! [X6] :
        ( sP0(multiply(X6,sk_c5))
        | sP1(inverse(X6)) )
    | ~ spl21_18 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl21_18
  <=> ! [X6] :
        ( sP0(multiply(X6,sk_c5))
        | sP1(inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).

fof(f886,plain,
    ( ~ spl21_3
    | ~ spl21_4
    | ~ spl21_17 ),
    inference(avatar_contradiction_clause,[],[f885]) ).

fof(f885,plain,
    ( $false
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f884,f37]) ).

fof(f37,plain,
    ~ sP2(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f884,plain,
    ( sP2(sk_c7)
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_17 ),
    inference(forward_demodulation,[],[f883,f861]) ).

fof(f861,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f52,f107]) ).

fof(f107,plain,
    ( sk_c7 = sF13
    | ~ spl21_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl21_4
  <=> sk_c7 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).

fof(f52,plain,
    multiply(sk_c3,sk_c6) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f883,plain,
    ( sP2(multiply(sk_c3,sk_c6))
    | ~ spl21_3
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f870,f38]) ).

fof(f38,plain,
    ~ sP3(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f870,plain,
    ( sP3(sk_c7)
    | sP2(multiply(sk_c3,sk_c6))
    | ~ spl21_3
    | ~ spl21_17 ),
    inference(superposition,[],[f185,f862]) ).

fof(f862,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl21_3 ),
    inference(backward_demodulation,[],[f50,f102]) ).

fof(f102,plain,
    ( sk_c7 = sF12
    | ~ spl21_3 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl21_3
  <=> sk_c7 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).

fof(f50,plain,
    inverse(sk_c3) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f185,plain,
    ( ! [X5] :
        ( sP3(inverse(X5))
        | sP2(multiply(X5,sk_c6)) )
    | ~ spl21_17 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl21_17
  <=> ! [X5] :
        ( sP2(multiply(X5,sk_c6))
        | sP3(inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).

fof(f847,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(avatar_contradiction_clause,[],[f846]) ).

fof(f846,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f845,f37]) ).

fof(f845,plain,
    ( sP2(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(forward_demodulation,[],[f844,f701]) ).

fof(f701,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f486,f585]) ).

fof(f585,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f468,f562]) ).

fof(f562,plain,
    ( sk_c7 = sk_c6
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f560,f480]) ).

fof(f480,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl21_9 ),
    inference(backward_demodulation,[],[f70,f140]) ).

fof(f486,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7 ),
    inference(forward_demodulation,[],[f482,f264]) ).

fof(f482,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f217,f122]) ).

fof(f844,plain,
    ( sP2(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(subsumption_resolution,[],[f843,f38]) ).

fof(f843,plain,
    ( sP3(sk_c7)
    | sP2(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(superposition,[],[f842,f809]) ).

fof(f809,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f748,f805]) ).

fof(f805,plain,
    ( identity = sk_c7
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f804,f701]) ).

fof(f804,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f483,f801]) ).

fof(f801,plain,
    ( sk_c7 = sk_c5
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f760,f799]) ).

fof(f799,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f265,f701]) ).

fof(f760,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f759,f738]) ).

fof(f738,plain,
    ( sk_c7 = sk_c2
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f477,f711]) ).

fof(f711,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f473,f701]) ).

fof(f759,plain,
    ( sk_c7 = multiply(sk_c5,sk_c2)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f758,f701]) ).

fof(f758,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c7,sk_c7)
    | ~ spl21_2
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f478,f562]) ).

fof(f478,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c6,sk_c6)
    | ~ spl21_2
    | ~ spl21_9 ),
    inference(backward_demodulation,[],[f219,f140]) ).

fof(f483,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f195,f122]) ).

fof(f748,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f475,f746]) ).

fof(f746,plain,
    ( identity = sk_c1
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f474,f701]) ).

fof(f842,plain,
    ( ! [X5] :
        ( sP3(inverse(X5))
        | sP2(multiply(X5,sk_c7)) )
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_17 ),
    inference(forward_demodulation,[],[f185,f562]) ).

fof(f841,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_18 ),
    inference(avatar_contradiction_clause,[],[f840]) ).

fof(f840,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_18 ),
    inference(subsumption_resolution,[],[f839,f563]) ).

fof(f563,plain,
    ( ~ sP0(sk_c7)
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f35,f562]) ).

fof(f839,plain,
    ( sP0(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_18 ),
    inference(forward_demodulation,[],[f838,f701]) ).

fof(f838,plain,
    ( sP0(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_18 ),
    inference(subsumption_resolution,[],[f837,f564]) ).

fof(f564,plain,
    ( ~ sP1(sk_c7)
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f36,f562]) ).

fof(f837,plain,
    ( sP1(sk_c7)
    | sP0(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_18 ),
    inference(superposition,[],[f828,f809]) ).

fof(f828,plain,
    ( ! [X6] :
        ( sP1(inverse(X6))
        | sP0(multiply(X6,sk_c7)) )
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_18 ),
    inference(forward_demodulation,[],[f188,f801]) ).

fof(f768,plain,
    ( spl21_4
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(avatar_split_clause,[],[f767,f156,f147,f138,f129,f120,f115,f100,f95,f91,f105]) ).

fof(f767,plain,
    ( sk_c7 = sF13
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f766,f701]) ).

fof(f766,plain,
    ( sF13 = multiply(sk_c7,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f765,f757]) ).

fof(f757,plain,
    ( sk_c7 = sk_c3
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f734,f751]) ).

fof(f751,plain,
    ( identity = sk_c7
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f750,f701]) ).

fof(f750,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f483,f718]) ).

fof(f718,plain,
    ( sk_c7 = sk_c5
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f569,f716]) ).

fof(f716,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f702,f715]) ).

fof(f715,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f704,f701]) ).

fof(f704,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f581,f701]) ).

fof(f581,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl21_1
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f247,f562]) ).

fof(f702,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f574,f701]) ).

fof(f574,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl21_6
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f209,f562]) ).

fof(f209,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl21_6 ),
    inference(superposition,[],[f3,f190]) ).

fof(f190,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f569,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl21_6
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f190,f562]) ).

fof(f734,plain,
    ( identity = sk_c3
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f733,f701]) ).

fof(f733,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f708,f718]) ).

fof(f708,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f575,f701]) ).

fof(f575,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c7,identity)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f220,f562]) ).

fof(f220,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
    | ~ spl21_2
    | ~ spl21_3 ),
    inference(superposition,[],[f205,f196]) ).

fof(f196,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl21_3 ),
    inference(superposition,[],[f2,f193]) ).

fof(f193,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl21_3 ),
    inference(backward_demodulation,[],[f50,f102]) ).

fof(f765,plain,
    ( sF13 = multiply(sk_c3,sk_c7)
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f52,f562]) ).

fof(f699,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(avatar_contradiction_clause,[],[f698]) ).

fof(f698,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(subsumption_resolution,[],[f697,f566]) ).

fof(f566,plain,
    ( sk_c7 != sF14
    | spl21_5
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f111,f562]) ).

fof(f111,plain,
    ( sk_c6 != sF14
    | spl21_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f697,plain,
    ( sk_c7 = sF14
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f696,f627]) ).

fof(f627,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f484,f620]) ).

fof(f620,plain,
    ( sk_c7 = sk_c5
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f569,f608]) ).

fof(f608,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f512,f596]) ).

fof(f596,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f1,f595]) ).

fof(f595,plain,
    ( identity = sk_c7
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f570,f493]) ).

fof(f493,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7
    | ~ spl21_8 ),
    inference(backward_demodulation,[],[f471,f488]) ).

fof(f488,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7 ),
    inference(forward_demodulation,[],[f483,f272]) ).

fof(f272,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f258,f270]) ).

fof(f270,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c6,sk_c6)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(forward_demodulation,[],[f265,f258]) ).

fof(f258,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(superposition,[],[f205,f233]) ).

fof(f233,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(superposition,[],[f215,f192]) ).

fof(f192,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f52,f107]) ).

fof(f215,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl21_3 ),
    inference(forward_demodulation,[],[f204,f1]) ).

fof(f204,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl21_3 ),
    inference(superposition,[],[f3,f196]) ).

fof(f471,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c3,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_4
    | ~ spl21_8 ),
    inference(forward_demodulation,[],[f245,f131]) ).

fof(f245,plain,
    ( multiply(sk_c3,sF17) = multiply(sk_c7,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f231,f93]) ).

fof(f231,plain,
    ( multiply(sk_c7,sF11) = multiply(sk_c3,sF17)
    | ~ spl21_2
    | ~ spl21_4 ),
    inference(superposition,[],[f208,f222]) ).

fof(f208,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl21_4 ),
    inference(superposition,[],[f3,f192]) ).

fof(f570,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl21_4
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f192,f562]) ).

fof(f512,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8 ),
    inference(forward_demodulation,[],[f511,f1]) ).

fof(f511,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8 ),
    inference(superposition,[],[f3,f491]) ).

fof(f491,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8 ),
    inference(backward_demodulation,[],[f472,f488]) ).

fof(f472,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c4,sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_8 ),
    inference(forward_demodulation,[],[f271,f131]) ).

fof(f271,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c4,sF17)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f260,f270]) ).

fof(f260,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c4,sF17)
    | ~ spl21_6 ),
    inference(superposition,[],[f209,f64]) ).

fof(f484,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl21_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f696,plain,
    ( inverse(sk_c7) = sF14
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f54,f694]) ).

fof(f694,plain,
    ( sk_c7 = sk_c4
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f688,f693]) ).

fof(f693,plain,
    ( ! [X0] : multiply(sF14,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f692,f596]) ).

fof(f692,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sF14,X0)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_6
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(forward_demodulation,[],[f691,f608]) ).

fof(f691,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sF14,multiply(sk_c4,X0))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f3,f688]) ).

fof(f688,plain,
    ( sk_c7 = multiply(sF14,sk_c4)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(superposition,[],[f597,f54]) ).

fof(f597,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c7
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_7
    | ~ spl21_8
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f2,f595]) ).

fof(f594,plain,
    ( ~ spl21_3
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(avatar_contradiction_clause,[],[f593]) ).

fof(f593,plain,
    ( $false
    | ~ spl21_3
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f565,f519]) ).

fof(f519,plain,
    ( sP6(sk_c7)
    | ~ spl21_3
    | ~ spl21_15 ),
    inference(forward_demodulation,[],[f518,f215]) ).

fof(f518,plain,
    ( sP6(multiply(sk_c7,multiply(sk_c3,sk_c7)))
    | ~ spl21_3
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f515,f40]) ).

fof(f515,plain,
    ( sP5(sk_c7)
    | sP6(multiply(sk_c7,multiply(sk_c3,sk_c7)))
    | ~ spl21_3
    | ~ spl21_15 ),
    inference(superposition,[],[f178,f193]) ).

fof(f565,plain,
    ( ~ sP6(sk_c7)
    | ~ spl21_9
    | ~ spl21_10
    | ~ spl21_11 ),
    inference(backward_demodulation,[],[f41,f562]) ).

fof(f453,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_15 ),
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f451,f338]) ).

fof(f338,plain,
    ( ~ sP6(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f41,f335]) ).

fof(f335,plain,
    ( sk_c7 = sk_c6
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f318,f192]) ).

fof(f318,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f237,f305]) ).

fof(f305,plain,
    ( sk_c6 = sk_c5
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f301,f190]) ).

fof(f301,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f285,f295]) ).

fof(f295,plain,
    ( sk_c5 = sF17
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f294,f64]) ).

fof(f294,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f291,f283]) ).

fof(f283,plain,
    ( sk_c5 = multiply(sk_c7,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f278,f270]) ).

fof(f278,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(superposition,[],[f216,f190]) ).

fof(f216,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl21_5 ),
    inference(forward_demodulation,[],[f206,f1]) ).

fof(f206,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl21_5 ),
    inference(superposition,[],[f3,f197]) ).

fof(f197,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl21_5 ),
    inference(superposition,[],[f2,f191]) ).

fof(f191,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl21_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f291,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c7,sk_c5)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(superposition,[],[f247,f286]) ).

fof(f286,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f270,f283]) ).

fof(f285,plain,
    ( sk_c5 = multiply(sk_c4,sF17)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f271,f283]) ).

fof(f237,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(backward_demodulation,[],[f225,f233]) ).

fof(f225,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl21_2
    | ~ spl21_4 ),
    inference(superposition,[],[f208,f194]) ).

fof(f451,plain,
    ( sP6(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_15 ),
    inference(forward_demodulation,[],[f450,f364]) ).

fof(f364,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f215,f362]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f345,f281]) ).

fof(f281,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl21_4
    | ~ spl21_5 ),
    inference(superposition,[],[f208,f216]) ).

fof(f345,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f216,f335]) ).

fof(f450,plain,
    ( sP6(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_15 ),
    inference(subsumption_resolution,[],[f448,f40]) ).

fof(f448,plain,
    ( sP5(sk_c7)
    | sP6(multiply(sk_c7,sk_c7))
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_15 ),
    inference(superposition,[],[f437,f384]) ).

fof(f384,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f58,f381]) ).

fof(f381,plain,
    ( sk_c7 = sF16
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f379,f58]) ).

fof(f379,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f193,f378]) ).

fof(f378,plain,
    ( sk_c7 = sk_c3
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f369,f374]) ).

fof(f374,plain,
    ( identity = sk_c7
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f195,f366]) ).

fof(f366,plain,
    ( ! [X0] : multiply(sF16,X0) = X0
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f217,f364]) ).

fof(f369,plain,
    ( identity = sk_c3
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f196,f364]) ).

fof(f437,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c7)) )
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_15 ),
    inference(forward_demodulation,[],[f178,f364]) ).

fof(f436,plain,
    ( ~ spl21_8
    | ~ spl21_14 ),
    inference(avatar_contradiction_clause,[],[f435]) ).

fof(f435,plain,
    ( $false
    | ~ spl21_8
    | ~ spl21_14 ),
    inference(subsumption_resolution,[],[f434,f42]) ).

fof(f42,plain,
    ~ sP7(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f434,plain,
    ( sP7(sk_c7)
    | ~ spl21_8
    | ~ spl21_14 ),
    inference(backward_demodulation,[],[f175,f131]) ).

fof(f175,plain,
    ( sP7(sF17)
    | ~ spl21_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl21_14
  <=> sP7(sF17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).

fof(f416,plain,
    ( spl21_8
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(avatar_split_clause,[],[f415,f115,f110,f105,f100,f95,f91,f129]) ).

fof(f415,plain,
    ( sk_c7 = sF17
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(forward_demodulation,[],[f329,f335]) ).

fof(f329,plain,
    ( sk_c6 = sF17
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f295,f305]) ).

fof(f389,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_13 ),
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f388,plain,
    ( $false
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_13 ),
    inference(subsumption_resolution,[],[f350,f383]) ).

fof(f383,plain,
    ( sP8(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6
    | ~ spl21_13 ),
    inference(backward_demodulation,[],[f171,f381]) ).

fof(f350,plain,
    ( ~ sP8(sk_c7)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f307,f335]) ).

fof(f307,plain,
    ( ~ sP8(sk_c6)
    | ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4
    | ~ spl21_5
    | ~ spl21_6 ),
    inference(backward_demodulation,[],[f43,f305]) ).

fof(f252,plain,
    ( ~ spl21_12
    | ~ spl21_1 ),
    inference(avatar_split_clause,[],[f248,f91,f165]) ).

fof(f165,plain,
    ( spl21_12
  <=> sP9(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).

fof(f248,plain,
    ( ~ sP9(sk_c5)
    | ~ spl21_1 ),
    inference(backward_demodulation,[],[f88,f93]) ).

fof(f88,plain,
    ~ sP9(sF11),
    inference(definition_folding,[],[f44,f48]) ).

fof(f44,plain,
    ~ sP9(multiply(sk_c7,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f243,plain,
    ( spl21_1
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(avatar_split_clause,[],[f242,f105,f100,f95,f91]) ).

fof(f242,plain,
    ( sk_c5 = sF11
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(forward_demodulation,[],[f240,f48]) ).

fof(f240,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl21_2
    | ~ spl21_3
    | ~ spl21_4 ),
    inference(superposition,[],[f215,f237]) ).

fof(f189,plain,
    ( spl21_12
    | spl21_13
    | spl21_14
    | spl21_15
    | spl21_16
    | spl21_17
    | spl21_18 ),
    inference(avatar_split_clause,[],[f89,f187,f184,f180,f177,f173,f169,f165]) ).

fof(f89,plain,
    ! [X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(sF10)
      | sP5(inverse(X4))
      | sP6(multiply(sk_c7,multiply(X4,sk_c7)))
      | sP7(sF17)
      | sP8(sF16)
      | sP9(sk_c5) ),
    inference(definition_folding,[],[f46,f58,f64,f47]) ).

fof(f46,plain,
    ! [X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(multiply(sk_c6,sk_c7))
      | sP5(inverse(X4))
      | sP6(multiply(sk_c7,multiply(X4,sk_c7)))
      | sP7(multiply(sk_c5,sk_c6))
      | sP8(inverse(sk_c7))
      | sP9(sk_c5) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X3,X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(multiply(sk_c6,sk_c7))
      | sP5(inverse(X4))
      | multiply(X4,sk_c7) != X3
      | sP6(multiply(sk_c7,X3))
      | sP7(multiply(sk_c5,sk_c6))
      | sP8(inverse(sk_c7))
      | sP9(sk_c5) ),
    inference(inequality_splitting,[],[f34,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X4)
      | multiply(X4,sk_c7) != X3
      | sk_c6 != multiply(sk_c7,X3)
      | sk_c7 != multiply(sk_c5,sk_c6)
      | sk_c5 != inverse(sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_31) ).

fof(f163,plain,
    ( spl21_11
    | spl21_6 ),
    inference(avatar_split_clause,[],[f87,f115,f156]) ).

fof(f87,plain,
    ( sk_c6 = sF15
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f33,f82,f56]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_30) ).

fof(f162,plain,
    ( spl21_11
    | spl21_5 ),
    inference(avatar_split_clause,[],[f86,f110,f156]) ).

fof(f86,plain,
    ( sk_c6 = sF14
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f32,f82,f54]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_29) ).

fof(f161,plain,
    ( spl21_11
    | spl21_4 ),
    inference(avatar_split_clause,[],[f85,f105,f156]) ).

fof(f85,plain,
    ( sk_c7 = sF13
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f31,f82,f52]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_28) ).

fof(f160,plain,
    ( spl21_11
    | spl21_3 ),
    inference(avatar_split_clause,[],[f84,f100,f156]) ).

fof(f84,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f30,f82,f50]) ).

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_27) ).

fof(f159,plain,
    ( spl21_11
    | spl21_2 ),
    inference(avatar_split_clause,[],[f83,f95,f156]) ).

fof(f83,plain,
    ( sk_c5 = sF10
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f29,f82,f47]) ).

fof(f29,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_26) ).

fof(f154,plain,
    ( spl21_10
    | spl21_6 ),
    inference(avatar_split_clause,[],[f81,f115,f147]) ).

fof(f81,plain,
    ( sk_c6 = sF15
    | sk_c2 = sF19 ),
    inference(definition_folding,[],[f28,f76,f56]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_25) ).

fof(f153,plain,
    ( spl21_10
    | spl21_5 ),
    inference(avatar_split_clause,[],[f80,f110,f147]) ).

fof(f80,plain,
    ( sk_c6 = sF14
    | sk_c2 = sF19 ),
    inference(definition_folding,[],[f27,f76,f54]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_24) ).

fof(f152,plain,
    ( spl21_10
    | spl21_4 ),
    inference(avatar_split_clause,[],[f79,f105,f147]) ).

fof(f79,plain,
    ( sk_c7 = sF13
    | sk_c2 = sF19 ),
    inference(definition_folding,[],[f26,f76,f52]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_23) ).

fof(f151,plain,
    ( spl21_10
    | spl21_3 ),
    inference(avatar_split_clause,[],[f78,f100,f147]) ).

fof(f78,plain,
    ( sk_c7 = sF12
    | sk_c2 = sF19 ),
    inference(definition_folding,[],[f25,f76,f50]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_22) ).

fof(f150,plain,
    ( spl21_10
    | spl21_2 ),
    inference(avatar_split_clause,[],[f77,f95,f147]) ).

fof(f77,plain,
    ( sk_c5 = sF10
    | sk_c2 = sF19 ),
    inference(definition_folding,[],[f24,f76,f47]) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_21) ).

fof(f145,plain,
    ( spl21_9
    | spl21_6 ),
    inference(avatar_split_clause,[],[f75,f115,f138]) ).

fof(f75,plain,
    ( sk_c6 = sF15
    | sk_c6 = sF18 ),
    inference(definition_folding,[],[f23,f70,f56]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_20) ).

fof(f144,plain,
    ( spl21_9
    | spl21_5 ),
    inference(avatar_split_clause,[],[f74,f110,f138]) ).

fof(f74,plain,
    ( sk_c6 = sF14
    | sk_c6 = sF18 ),
    inference(definition_folding,[],[f22,f70,f54]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_19) ).

fof(f143,plain,
    ( spl21_9
    | spl21_4 ),
    inference(avatar_split_clause,[],[f73,f105,f138]) ).

fof(f73,plain,
    ( sk_c7 = sF13
    | sk_c6 = sF18 ),
    inference(definition_folding,[],[f21,f70,f52]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_18) ).

fof(f142,plain,
    ( spl21_9
    | spl21_3 ),
    inference(avatar_split_clause,[],[f72,f100,f138]) ).

fof(f72,plain,
    ( sk_c7 = sF12
    | sk_c6 = sF18 ),
    inference(definition_folding,[],[f20,f70,f50]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_17) ).

fof(f141,plain,
    ( spl21_9
    | spl21_2 ),
    inference(avatar_split_clause,[],[f71,f95,f138]) ).

fof(f71,plain,
    ( sk_c5 = sF10
    | sk_c6 = sF18 ),
    inference(definition_folding,[],[f19,f70,f47]) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_16) ).

fof(f136,plain,
    ( spl21_8
    | spl21_6 ),
    inference(avatar_split_clause,[],[f69,f115,f129]) ).

fof(f69,plain,
    ( sk_c6 = sF15
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f18,f64,f56]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_15) ).

fof(f135,plain,
    ( spl21_8
    | spl21_5 ),
    inference(avatar_split_clause,[],[f68,f110,f129]) ).

fof(f68,plain,
    ( sk_c6 = sF14
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f17,f64,f54]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_14) ).

fof(f134,plain,
    ( spl21_8
    | spl21_4 ),
    inference(avatar_split_clause,[],[f67,f105,f129]) ).

fof(f67,plain,
    ( sk_c7 = sF13
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f16,f64,f52]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_13) ).

fof(f133,plain,
    ( spl21_8
    | spl21_3 ),
    inference(avatar_split_clause,[],[f66,f100,f129]) ).

fof(f66,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f15,f64,f50]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_12) ).

fof(f132,plain,
    ( spl21_8
    | spl21_2 ),
    inference(avatar_split_clause,[],[f65,f95,f129]) ).

fof(f65,plain,
    ( sk_c5 = sF10
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f14,f64,f47]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_11) ).

fof(f127,plain,
    ( spl21_7
    | spl21_6 ),
    inference(avatar_split_clause,[],[f63,f115,f120]) ).

fof(f63,plain,
    ( sk_c6 = sF15
    | sk_c5 = sF16 ),
    inference(definition_folding,[],[f13,f58,f56]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_10) ).

fof(f126,plain,
    ( spl21_7
    | spl21_5 ),
    inference(avatar_split_clause,[],[f62,f110,f120]) ).

fof(f62,plain,
    ( sk_c6 = sF14
    | sk_c5 = sF16 ),
    inference(definition_folding,[],[f12,f58,f54]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_9) ).

fof(f125,plain,
    ( spl21_7
    | spl21_4 ),
    inference(avatar_split_clause,[],[f61,f105,f120]) ).

fof(f61,plain,
    ( sk_c7 = sF13
    | sk_c5 = sF16 ),
    inference(definition_folding,[],[f11,f58,f52]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_8) ).

fof(f124,plain,
    ( spl21_7
    | spl21_3 ),
    inference(avatar_split_clause,[],[f60,f100,f120]) ).

fof(f60,plain,
    ( sk_c7 = sF12
    | sk_c5 = sF16 ),
    inference(definition_folding,[],[f10,f58,f50]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_7) ).

fof(f123,plain,
    ( spl21_7
    | spl21_2 ),
    inference(avatar_split_clause,[],[f59,f95,f120]) ).

fof(f59,plain,
    ( sk_c5 = sF10
    | sk_c5 = sF16 ),
    inference(definition_folding,[],[f9,f58,f47]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_6) ).

fof(f118,plain,
    ( spl21_1
    | spl21_6 ),
    inference(avatar_split_clause,[],[f57,f115,f91]) ).

fof(f57,plain,
    ( sk_c6 = sF15
    | sk_c5 = sF11 ),
    inference(definition_folding,[],[f8,f48,f56]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_5) ).

fof(f108,plain,
    ( spl21_1
    | spl21_4 ),
    inference(avatar_split_clause,[],[f53,f105,f91]) ).

fof(f53,plain,
    ( sk_c7 = sF13
    | sk_c5 = sF11 ),
    inference(definition_folding,[],[f6,f48,f52]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_3) ).

fof(f103,plain,
    ( spl21_1
    | spl21_3 ),
    inference(avatar_split_clause,[],[f51,f100,f91]) ).

fof(f51,plain,
    ( sk_c7 = sF12
    | sk_c5 = sF11 ),
    inference(definition_folding,[],[f5,f48,f50]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171',prove_this_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:19:03 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.19PN8TeD5q/Vampire---4.8_8171
% 0.55/0.75  % (8386)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75  % (8383)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (8378)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (8380)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (8386)Refutation not found, incomplete strategy% (8386)------------------------------
% 0.55/0.75  % (8386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8386)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8386)Memory used [KB]: 983
% 0.55/0.75  % (8386)Time elapsed: 0.002 s
% 0.55/0.75  % (8386)Instructions burned: 4 (million)
% 0.55/0.75  % (8386)------------------------------
% 0.55/0.75  % (8386)------------------------------
% 0.55/0.75  % (8379)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75  % (8382)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (8381)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75  % (8384)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75  % (8383)Refutation not found, incomplete strategy% (8383)------------------------------
% 0.55/0.75  % (8383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8383)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8383)Memory used [KB]: 986
% 0.55/0.75  % (8383)Time elapsed: 0.003 s
% 0.55/0.75  % (8383)Instructions burned: 5 (million)
% 0.55/0.75  % (8383)------------------------------
% 0.55/0.75  % (8383)------------------------------
% 0.55/0.75  % (8378)Refutation not found, incomplete strategy% (8378)------------------------------
% 0.55/0.75  % (8378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8378)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8378)Memory used [KB]: 998
% 0.55/0.75  % (8378)Time elapsed: 0.003 s
% 0.55/0.75  % (8378)Instructions burned: 4 (million)
% 0.55/0.75  % (8381)Refutation not found, incomplete strategy% (8381)------------------------------
% 0.55/0.75  % (8381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8381)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8381)Memory used [KB]: 988
% 0.55/0.75  % (8381)Time elapsed: 0.003 s
% 0.55/0.75  % (8381)Instructions burned: 4 (million)
% 0.55/0.75  % (8381)------------------------------
% 0.55/0.75  % (8381)------------------------------
% 0.55/0.75  % (8378)------------------------------
% 0.55/0.75  % (8378)------------------------------
% 0.55/0.75  % (8382)Refutation not found, incomplete strategy% (8382)------------------------------
% 0.55/0.75  % (8382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8382)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8382)Memory used [KB]: 997
% 0.55/0.75  % (8382)Time elapsed: 0.003 s
% 0.55/0.75  % (8382)Instructions burned: 4 (million)
% 0.55/0.75  % (8382)------------------------------
% 0.55/0.75  % (8382)------------------------------
% 0.55/0.75  % (8380)Refutation not found, incomplete strategy% (8380)------------------------------
% 0.55/0.75  % (8380)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8388)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.75  % (8380)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8380)Memory used [KB]: 1052
% 0.55/0.75  % (8380)Time elapsed: 0.004 s
% 0.55/0.75  % (8380)Instructions burned: 5 (million)
% 0.55/0.75  % (8380)------------------------------
% 0.55/0.75  % (8380)------------------------------
% 0.55/0.75  % (8389)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.75  % (8389)Refutation not found, incomplete strategy% (8389)------------------------------
% 0.55/0.75  % (8389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8389)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8389)Memory used [KB]: 991
% 0.55/0.75  % (8389)Time elapsed: 0.002 s
% 0.55/0.75  % (8389)Instructions burned: 5 (million)
% 0.55/0.75  % (8389)------------------------------
% 0.55/0.75  % (8389)------------------------------
% 0.55/0.75  % (8388)Refutation not found, incomplete strategy% (8388)------------------------------
% 0.55/0.75  % (8388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (8388)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (8388)Memory used [KB]: 1063
% 0.55/0.75  % (8388)Time elapsed: 0.002 s
% 0.55/0.75  % (8388)Instructions burned: 5 (million)
% 0.55/0.75  % (8388)------------------------------
% 0.55/0.75  % (8388)------------------------------
% 0.55/0.75  % (8391)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.75  % (8392)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.75  % (8393)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.75  % (8396)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.55/0.76  % (8397)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.55/0.76  % (8394)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.55/0.76  % (8397)Refutation not found, incomplete strategy% (8397)------------------------------
% 0.55/0.76  % (8397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8397)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8397)Memory used [KB]: 984
% 0.55/0.76  % (8397)Time elapsed: 0.002 s
% 0.55/0.76  % (8397)Instructions burned: 4 (million)
% 0.55/0.76  % (8397)------------------------------
% 0.55/0.76  % (8397)------------------------------
% 0.55/0.76  % (8393)Refutation not found, incomplete strategy% (8393)------------------------------
% 0.55/0.76  % (8393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8393)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8393)Memory used [KB]: 985
% 0.55/0.76  % (8393)Time elapsed: 0.005 s
% 0.55/0.76  % (8394)Refutation not found, incomplete strategy% (8394)------------------------------
% 0.55/0.76  % (8394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8393)Instructions burned: 5 (million)
% 0.55/0.76  % (8393)------------------------------
% 0.55/0.76  % (8393)------------------------------
% 0.55/0.76  % (8394)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8392)Refutation not found, incomplete strategy% (8392)------------------------------
% 0.55/0.76  % (8392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8392)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8392)Memory used [KB]: 1052
% 0.55/0.76  % (8392)Time elapsed: 0.004 s
% 0.55/0.76  % (8392)Instructions burned: 5 (million)
% 0.55/0.76  % (8392)------------------------------
% 0.55/0.76  % (8392)------------------------------
% 0.55/0.76  % (8394)Memory used [KB]: 1004
% 0.55/0.76  % (8394)Time elapsed: 0.003 s
% 0.55/0.76  % (8394)Instructions burned: 4 (million)
% 0.55/0.76  % (8394)------------------------------
% 0.55/0.76  % (8394)------------------------------
% 0.55/0.76  % (8400)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.55/0.76  % (8400)Refutation not found, incomplete strategy% (8400)------------------------------
% 0.55/0.76  % (8400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8400)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8400)Memory used [KB]: 999
% 0.55/0.76  % (8400)Time elapsed: 0.002 s
% 0.55/0.76  % (8400)Instructions burned: 4 (million)
% 0.55/0.76  % (8400)------------------------------
% 0.55/0.76  % (8400)------------------------------
% 0.55/0.76  % (8391)Refutation not found, incomplete strategy% (8391)------------------------------
% 0.55/0.76  % (8391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8391)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8391)Memory used [KB]: 1108
% 0.55/0.76  % (8391)Time elapsed: 0.009 s
% 0.55/0.76  % (8391)Instructions burned: 13 (million)
% 0.55/0.76  % (8391)------------------------------
% 0.55/0.76  % (8391)------------------------------
% 0.55/0.76  % (8402)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.55/0.76  % (8403)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.55/0.76  % (8404)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.55/0.76  % (8407)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.55/0.76  % (8403)Refutation not found, incomplete strategy% (8403)------------------------------
% 0.55/0.76  % (8403)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (8403)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8403)Memory used [KB]: 984
% 0.55/0.76  % (8403)Time elapsed: 0.004 s
% 0.55/0.76  % (8403)Instructions burned: 3 (million)
% 0.55/0.76  % (8403)------------------------------
% 0.55/0.76  % (8403)------------------------------
% 0.67/0.76  % (8404)Refutation not found, incomplete strategy% (8404)------------------------------
% 0.67/0.76  % (8404)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.76  % (8407)Refutation not found, incomplete strategy% (8407)------------------------------
% 0.67/0.76  % (8407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.76  % (8407)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.76  
% 0.67/0.76  % (8407)Memory used [KB]: 1052
% 0.67/0.76  % (8407)Time elapsed: 0.003 s
% 0.67/0.76  % (8407)Instructions burned: 5 (million)
% 0.67/0.76  % (8407)------------------------------
% 0.67/0.76  % (8407)------------------------------
% 0.67/0.76  % (8404)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.76  
% 0.67/0.76  % (8404)Memory used [KB]: 993
% 0.67/0.77  % (8404)Time elapsed: 0.004 s
% 0.67/0.77  % (8404)Instructions burned: 5 (million)
% 0.67/0.77  % (8404)------------------------------
% 0.67/0.77  % (8404)------------------------------
% 0.67/0.77  % (8409)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.67/0.77  % (8412)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.67/0.77  % (8411)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.67/0.77  % (8409)Refutation not found, incomplete strategy% (8409)------------------------------
% 0.67/0.77  % (8409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.77  % (8409)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.77  
% 0.67/0.77  % (8409)Memory used [KB]: 1001
% 0.67/0.77  % (8409)Time elapsed: 0.004 s
% 0.67/0.77  % (8409)Instructions burned: 4 (million)
% 0.67/0.77  % (8409)------------------------------
% 0.67/0.77  % (8409)------------------------------
% 0.67/0.77  % (8412)Refutation not found, incomplete strategy% (8412)------------------------------
% 0.67/0.77  % (8412)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.77  % (8412)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.77  
% 0.67/0.77  % (8412)Memory used [KB]: 986
% 0.67/0.77  % (8412)Time elapsed: 0.002 s
% 0.67/0.77  % (8412)Instructions burned: 3 (million)
% 0.67/0.77  % (8412)------------------------------
% 0.67/0.77  % (8412)------------------------------
% 0.67/0.77  % (8413)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.67/0.77  % (8416)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.67/0.77  % (8413)Refutation not found, incomplete strategy% (8413)------------------------------
% 0.67/0.77  % (8413)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.77  % (8417)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.67/0.77  % (8413)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.77  
% 0.67/0.77  % (8413)Memory used [KB]: 1069
% 0.67/0.77  % (8413)Time elapsed: 0.005 s
% 0.67/0.77  % (8413)Instructions burned: 6 (million)
% 0.67/0.77  % (8413)------------------------------
% 0.67/0.77  % (8413)------------------------------
% 0.67/0.77  % (8379)Instruction limit reached!
% 0.67/0.77  % (8379)------------------------------
% 0.67/0.77  % (8379)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.77  % (8379)Termination reason: Unknown
% 0.67/0.77  % (8379)Termination phase: Saturation
% 0.67/0.77  
% 0.67/0.77  % (8379)Memory used [KB]: 1661
% 0.67/0.77  % (8379)Time elapsed: 0.028 s
% 0.67/0.77  % (8379)Instructions burned: 52 (million)
% 0.67/0.77  % (8379)------------------------------
% 0.67/0.77  % (8379)------------------------------
% 0.67/0.78  % (8420)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.67/0.78  % (8421)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.67/0.78  % (8421)Refutation not found, incomplete strategy% (8421)------------------------------
% 0.67/0.78  % (8421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.78  % (8421)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.78  
% 0.67/0.78  % (8421)Memory used [KB]: 978
% 0.67/0.78  % (8421)Time elapsed: 0.003 s
% 0.67/0.78  % (8421)Instructions burned: 4 (million)
% 0.67/0.78  % (8421)------------------------------
% 0.67/0.78  % (8421)------------------------------
% 0.67/0.78  % (8416)Instruction limit reached!
% 0.67/0.78  % (8416)------------------------------
% 0.67/0.78  % (8416)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.78  % (8416)Termination reason: Unknown
% 0.67/0.78  % (8416)Termination phase: Saturation
% 0.67/0.78  
% 0.67/0.78  % (8416)Memory used [KB]: 1183
% 0.67/0.78  % (8416)Time elapsed: 0.011 s
% 0.67/0.78  % (8416)Instructions burned: 35 (million)
% 0.67/0.78  % (8416)------------------------------
% 0.67/0.78  % (8416)------------------------------
% 0.67/0.78  % (8424)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.67/0.79  % (8423)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.67/0.79  % (8384)Instruction limit reached!
% 0.67/0.79  % (8384)------------------------------
% 0.67/0.79  % (8384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.79  % (8384)Termination reason: Unknown
% 0.67/0.79  % (8384)Termination phase: Saturation
% 0.67/0.79  
% 0.67/0.79  % (8384)Memory used [KB]: 1920
% 0.67/0.79  % (8384)Time elapsed: 0.040 s
% 0.67/0.79  % (8384)Instructions burned: 84 (million)
% 0.67/0.79  % (8384)------------------------------
% 0.67/0.79  % (8384)------------------------------
% 0.67/0.79  % (8423)Refutation not found, incomplete strategy% (8423)------------------------------
% 0.67/0.79  % (8423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.79  % (8423)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.79  
% 0.67/0.79  % (8423)Memory used [KB]: 1006
% 0.67/0.79  % (8423)Time elapsed: 0.004 s
% 0.67/0.79  % (8423)Instructions burned: 4 (million)
% 0.67/0.79  % (8423)------------------------------
% 0.67/0.79  % (8423)------------------------------
% 0.67/0.79  % (8424)Refutation not found, incomplete strategy% (8424)------------------------------
% 0.67/0.79  % (8424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.79  % (8424)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.79  
% 0.67/0.79  % (8424)Memory used [KB]: 1187
% 0.67/0.79  % (8424)Time elapsed: 0.006 s
% 0.67/0.79  % (8424)Instructions burned: 15 (million)
% 0.67/0.79  % (8424)------------------------------
% 0.67/0.79  % (8424)------------------------------
% 0.67/0.79  % (8427)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.67/0.79  % (8429)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.67/0.79  % (8430)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.67/0.79  % (8411)Instruction limit reached!
% 0.67/0.79  % (8411)------------------------------
% 0.67/0.79  % (8411)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.79  % (8411)Termination reason: Unknown
% 0.67/0.79  % (8411)Termination phase: Saturation
% 0.67/0.79  
% 0.67/0.79  % (8411)Memory used [KB]: 1181
% 0.67/0.79  % (8411)Time elapsed: 0.028 s
% 0.67/0.79  % (8411)Instructions burned: 55 (million)
% 0.67/0.79  % (8411)------------------------------
% 0.67/0.79  % (8411)------------------------------
% 0.67/0.80  % (8433)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.67/0.81  % (8402)Instruction limit reached!
% 0.67/0.81  % (8402)------------------------------
% 0.67/0.81  % (8402)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.81  % (8402)Termination reason: Unknown
% 0.67/0.81  % (8402)Termination phase: Saturation
% 0.67/0.81  
% 0.67/0.81  % (8402)Memory used [KB]: 2053
% 0.67/0.81  % (8402)Time elapsed: 0.050 s
% 0.67/0.81  % (8402)Instructions burned: 94 (million)
% 0.67/0.81  % (8402)------------------------------
% 0.67/0.81  % (8402)------------------------------
% 0.67/0.81  % (8417)Instruction limit reached!
% 0.67/0.81  % (8417)------------------------------
% 0.67/0.81  % (8417)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.81  % (8417)Termination reason: Unknown
% 0.67/0.81  % (8417)Termination phase: Saturation
% 0.67/0.81  
% 0.67/0.81  % (8417)Memory used [KB]: 1453
% 0.67/0.81  % (8417)Time elapsed: 0.042 s
% 0.67/0.81  % (8417)Instructions burned: 88 (million)
% 0.67/0.81  % (8417)------------------------------
% 0.67/0.81  % (8417)------------------------------
% 0.67/0.81  % (8430)Instruction limit reached!
% 0.67/0.81  % (8430)------------------------------
% 0.67/0.81  % (8430)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.81  % (8430)Termination reason: Unknown
% 0.67/0.81  % (8430)Termination phase: Saturation
% 0.67/0.81  
% 0.67/0.81  % (8430)Memory used [KB]: 1349
% 0.67/0.81  % (8430)Time elapsed: 0.022 s
% 0.67/0.81  % (8430)Instructions burned: 83 (million)
% 0.67/0.81  % (8430)------------------------------
% 0.67/0.81  % (8430)------------------------------
% 0.67/0.81  % (8441)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.67/0.82  % (8444)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.67/0.82  % (8444)Refutation not found, incomplete strategy% (8444)------------------------------
% 0.67/0.82  % (8444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8444)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82  
% 0.67/0.82  % (8444)Memory used [KB]: 983
% 0.67/0.82  % (8444)Time elapsed: 0.001 s
% 0.67/0.82  % (8444)Instructions burned: 4 (million)
% 0.67/0.82  % (8444)------------------------------
% 0.67/0.82  % (8444)------------------------------
% 0.67/0.82  % (8443)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.67/0.82  % (8396)Instruction limit reached!
% 0.67/0.82  % (8396)------------------------------
% 0.67/0.82  % (8396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8396)Termination reason: Unknown
% 0.67/0.82  % (8396)Termination phase: Saturation
% 0.67/0.82  
% 0.67/0.82  % (8396)Memory used [KB]: 2981
% 0.67/0.82  % (8396)Time elapsed: 0.063 s
% 0.67/0.82  % (8396)Instructions burned: 243 (million)
% 0.67/0.82  % (8396)------------------------------
% 0.67/0.82  % (8396)------------------------------
% 0.67/0.82  % (8427)First to succeed.
% 0.67/0.82  % (8433)Instruction limit reached!
% 0.67/0.82  % (8433)------------------------------
% 0.67/0.82  % (8433)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8433)Termination reason: Unknown
% 0.67/0.82  % (8433)Termination phase: Saturation
% 0.67/0.82  
% 0.67/0.82  % (8433)Memory used [KB]: 1572
% 0.67/0.82  % (8433)Time elapsed: 0.022 s
% 0.67/0.82  % (8433)Instructions burned: 38 (million)
% 0.67/0.82  % (8433)------------------------------
% 0.67/0.82  % (8433)------------------------------
% 0.67/0.82  % (8447)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.67/0.82  % (8441)Refutation not found, incomplete strategy% (8441)------------------------------
% 0.67/0.82  % (8441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8441)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82  
% 0.67/0.82  % (8441)Memory used [KB]: 1078
% 0.67/0.82  % (8441)Time elapsed: 0.006 s
% 0.67/0.82  % (8441)Instructions burned: 7 (million)
% 0.67/0.82  % (8441)------------------------------
% 0.67/0.82  % (8441)------------------------------
% 0.67/0.82  % (8448)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.67/0.82  % (8447)Refutation not found, incomplete strategy% (8447)------------------------------
% 0.67/0.82  % (8447)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8447)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82  
% 0.67/0.82  % (8447)Memory used [KB]: 965
% 0.67/0.82  % (8447)Time elapsed: 0.002 s
% 0.67/0.82  % (8447)Instructions burned: 4 (million)
% 0.67/0.82  % (8447)------------------------------
% 0.67/0.82  % (8447)------------------------------
% 0.67/0.82  % (8448)Refutation not found, incomplete strategy% (8448)------------------------------
% 0.67/0.82  % (8448)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8448)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82  
% 0.67/0.82  % (8448)Memory used [KB]: 993
% 0.67/0.82  % (8448)Time elapsed: 0.002 s
% 0.67/0.82  % (8448)Instructions burned: 6 (million)
% 0.67/0.82  % (8448)------------------------------
% 0.67/0.82  % (8448)------------------------------
% 0.67/0.82  % (8452)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 0.67/0.82  % (8427)Refutation found. Thanks to Tanya!
% 0.67/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.67/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.82  % (8427)------------------------------
% 0.67/0.82  % (8427)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82  % (8427)Termination reason: Refutation
% 0.67/0.82  
% 0.67/0.82  % (8427)Memory used [KB]: 1299
% 0.67/0.82  % (8427)Time elapsed: 0.032 s
% 0.67/0.82  % (8427)Instructions burned: 54 (million)
% 0.67/0.82  % (8427)------------------------------
% 0.67/0.82  % (8427)------------------------------
% 0.67/0.82  % (8342)Success in time 0.439 s
% 0.67/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------