TSTP Solution File: GRP376-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP376-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 : Sun May  5 05:47:36 EDT 2024

% Result   : Unsatisfiable 0.81s 0.87s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  337 (  36 unt;   0 def)
%            Number of atoms       : 1207 ( 271 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1644 ( 774   ~; 852   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  19 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-2 aty)
%            Number of variables   :   86 (  86   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1120,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f104,f109,f114,f119,f124,f133,f142,f143,f144,f145,f146,f151,f152,f153,f154,f155,f160,f161,f162,f163,f164,f189,f196,f332,f343,f401,f426,f436,f594,f655,f695,f794,f801,f812,f818,f901,f927,f1113]) ).

fof(f1113,plain,
    ( ~ spl22_1
    | spl22_2
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1112,plain,
    ( $false
    | ~ spl22_1
    | spl22_2
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(subsumption_resolution,[],[f1111,f1101]) ).

fof(f1101,plain,
    ( sk_c7 = sk_c5
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f1100,f980]) ).

fof(f980,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f977,f971]) ).

fof(f971,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(superposition,[],[f3,f968]) ).

fof(f968,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(superposition,[],[f894,f938]) ).

fof(f938,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f58,f123]) ).

fof(f123,plain,
    ( sk_c6 = sF17
    | ~ spl22_7 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl22_7
  <=> sk_c6 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).

fof(f58,plain,
    multiply(sk_c1,sk_c7) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f894,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f893,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',left_identity) ).

fof(f893,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl22_8 ),
    inference(superposition,[],[f3,f887]) ).

fof(f887,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f200,f132]) ).

fof(f132,plain,
    ( sk_c7 = sF18
    | ~ spl22_8 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl22_8
  <=> sk_c7 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).

fof(f200,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f64]) ).

fof(f64,plain,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',associativity) ).

fof(f977,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl22_1
    | ~ spl22_8 ),
    inference(backward_demodulation,[],[f894,f972]) ).

fof(f972,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl22_1
    | ~ spl22_8 ),
    inference(superposition,[],[f939,f894]) ).

fof(f939,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f219,f94]) ).

fof(f94,plain,
    ( sk_c6 = sF12
    | ~ spl22_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl22_1
  <=> sk_c6 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

fof(f219,plain,
    ! [X0] : multiply(sF12,multiply(sk_c7,X0)) = X0,
    inference(forward_demodulation,[],[f213,f1]) ).

fof(f213,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f197]) ).

fof(f197,plain,
    identity = multiply(sF12,sk_c7),
    inference(superposition,[],[f2,f48]) ).

fof(f48,plain,
    inverse(sk_c7) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f1100,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f936,f1098]) ).

fof(f1098,plain,
    ( sk_c7 = sk_c2
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f1097,f994]) ).

fof(f994,plain,
    ( sk_c7 = sF11
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(backward_demodulation,[],[f47,f990]) ).

fof(f990,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f981,f980]) ).

fof(f981,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(backward_demodulation,[],[f971,f980]) ).

fof(f47,plain,
    multiply(sk_c6,sk_c7) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f1097,plain,
    ( sk_c2 = sF11
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f944,f1071]) ).

fof(f1071,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f1070,f980]) ).

fof(f1070,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f985,f1067]) ).

fof(f1067,plain,
    ( sk_c7 = sk_c6
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(backward_demodulation,[],[f973,f1066]) ).

fof(f1066,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f1065,f980]) ).

fof(f1065,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f978,f1061]) ).

fof(f1061,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(sk_c6,multiply(X0,X1))
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f1060,f980]) ).

fof(f1060,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(sk_c6,multiply(sk_c7,multiply(X0,X1)))
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f976,f3]) ).

fof(f976,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(sk_c6,multiply(multiply(sk_c7,X0),X1))
    | ~ spl22_1 ),
    inference(superposition,[],[f3,f939]) ).

fof(f978,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(backward_demodulation,[],[f937,f972]) ).

fof(f937,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f211,f123]) ).

fof(f211,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF17,X0),
    inference(superposition,[],[f3,f58]) ).

fof(f973,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(superposition,[],[f939,f968]) ).

fof(f985,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl22_1
    | ~ spl22_7
    | ~ spl22_8
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f460,f980]) ).

fof(f460,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f208,f141]) ).

fof(f141,plain,
    ( sk_c7 = sF19
    | ~ spl22_9 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl22_9
  <=> sk_c7 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).

fof(f208,plain,
    ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sF19,X0),
    inference(superposition,[],[f3,f70]) ).

fof(f70,plain,
    multiply(sk_c5,sk_c6) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f944,plain,
    ( sF11 = multiply(sk_c5,sk_c2)
    | ~ spl22_1
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f933,f943]) ).

fof(f943,plain,
    ( identity = sF11
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f940,f47]) ).

fof(f940,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f197,f94]) ).

fof(f933,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f201,f159]) ).

fof(f159,plain,
    ( sk_c5 = sF21
    | ~ spl22_11 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl22_11
  <=> sk_c5 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).

fof(f201,plain,
    identity = multiply(sF21,sk_c2),
    inference(superposition,[],[f2,f82]) ).

fof(f82,plain,
    inverse(sk_c2) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f936,plain,
    ( sk_c7 = multiply(sk_c2,sk_c5)
    | ~ spl22_10 ),
    inference(backward_demodulation,[],[f76,f150]) ).

fof(f150,plain,
    ( sk_c7 = sF20
    | ~ spl22_10 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl22_10
  <=> sk_c7 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).

fof(f76,plain,
    multiply(sk_c2,sk_c5) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f1111,plain,
    ( sk_c7 != sk_c5
    | ~ spl22_1
    | spl22_2
    | ~ spl22_7
    | ~ spl22_8 ),
    inference(forward_demodulation,[],[f97,f994]) ).

fof(f97,plain,
    ( sk_c5 != sF11
    | spl22_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl22_2
  <=> sk_c5 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

fof(f927,plain,
    ( ~ spl22_5
    | ~ spl22_6
    | ~ spl22_18 ),
    inference(avatar_contradiction_clause,[],[f926]) ).

fof(f926,plain,
    ( $false
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f925,f35]) ).

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

fof(f925,plain,
    ( sP0(sk_c6)
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f924,f886]) ).

fof(f886,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f56,f118]) ).

fof(f118,plain,
    ( sk_c6 = sF16
    | ~ spl22_6 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl22_6
  <=> sk_c6 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

fof(f56,plain,
    multiply(sk_c4,sk_c5) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f924,plain,
    ( sP0(multiply(sk_c4,sk_c5))
    | ~ spl22_5
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f913,f36]) ).

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

fof(f913,plain,
    ( sP1(sk_c6)
    | sP0(multiply(sk_c4,sk_c5))
    | ~ spl22_5
    | ~ spl22_18 ),
    inference(superposition,[],[f188,f885]) ).

fof(f885,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl22_5 ),
    inference(backward_demodulation,[],[f54,f113]) ).

fof(f113,plain,
    ( sk_c6 = sF15
    | ~ spl22_5 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl22_5
  <=> sk_c6 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

fof(f54,plain,
    inverse(sk_c4) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f188,plain,
    ( ! [X6] :
        ( sP1(inverse(X6))
        | sP0(multiply(X6,sk_c5)) )
    | ~ spl22_18 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl22_18
  <=> ! [X6] :
        ( sP0(multiply(X6,sk_c5))
        | sP1(inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).

fof(f901,plain,
    ( ~ spl22_3
    | ~ spl22_4
    | ~ spl22_17 ),
    inference(avatar_contradiction_clause,[],[f900]) ).

fof(f900,plain,
    ( $false
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f899,f37]) ).

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

fof(f899,plain,
    ( sP2(sk_c7)
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f898,f888]) ).

fof(f888,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl22_4 ),
    inference(forward_demodulation,[],[f52,f108]) ).

fof(f108,plain,
    ( sk_c7 = sF14
    | ~ spl22_4 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl22_4
  <=> sk_c7 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).

fof(f52,plain,
    multiply(sk_c3,sk_c6) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f898,plain,
    ( sP2(multiply(sk_c3,sk_c6))
    | ~ spl22_3
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f895,f38]) ).

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

fof(f895,plain,
    ( sP3(sk_c7)
    | sP2(multiply(sk_c3,sk_c6))
    | ~ spl22_3
    | ~ spl22_17 ),
    inference(superposition,[],[f185,f829]) ).

fof(f829,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl22_3 ),
    inference(backward_demodulation,[],[f50,f103]) ).

fof(f103,plain,
    ( sk_c7 = sF13
    | ~ spl22_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl22_3
  <=> sk_c7 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).

fof(f50,plain,
    inverse(sk_c3) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f185,plain,
    ( ! [X5] :
        ( sP3(inverse(X5))
        | sP2(multiply(X5,sk_c6)) )
    | ~ spl22_17 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl22_17
  <=> ! [X5] :
        ( sP2(multiply(X5,sk_c6))
        | sP3(inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).

fof(f818,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_15 ),
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f817,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f816,f41]) ).

fof(f41,plain,
    ~ sP6(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f816,plain,
    ( sP6(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f815,f757]) ).

fof(f757,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f475,f752]) ).

fof(f752,plain,
    ( sk_c7 = sk_c5
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f150,f749]) ).

fof(f749,plain,
    ( sk_c5 = sF20
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f747,f475]) ).

fof(f747,plain,
    ( sF20 = multiply(sk_c5,sk_c5)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f76,f707]) ).

fof(f707,plain,
    ( sk_c5 = sk_c2
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f485,f702]) ).

fof(f702,plain,
    ( identity = sk_c5
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f596,f698]) ).

fof(f698,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f195,f483]) ).

fof(f483,plain,
    ( sk_c7 = sk_c6
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f461,f475]) ).

fof(f461,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f70,f141]) ).

fof(f195,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl22_2 ),
    inference(backward_demodulation,[],[f47,f98]) ).

fof(f98,plain,
    ( sk_c5 = sF11
    | ~ spl22_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f596,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f472,f483]) ).

fof(f472,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f197,f94]) ).

fof(f485,plain,
    ( identity = sk_c2
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f463,f475]) ).

fof(f463,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f201,f159]) ).

fof(f475,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl22_1
    | ~ spl22_2 ),
    inference(forward_demodulation,[],[f471,f206]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl22_2 ),
    inference(superposition,[],[f3,f195]) ).

fof(f471,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f219,f94]) ).

fof(f815,plain,
    ( sP6(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f814,f753]) ).

fof(f753,plain,
    ( ~ sP5(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f40,f752]) ).

fof(f40,plain,
    ~ sP5(sk_c5),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f814,plain,
    ( sP5(sk_c7)
    | sP6(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_15 ),
    inference(superposition,[],[f813,f597]) ).

fof(f597,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f474,f483]) ).

fof(f474,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f48,f94]) ).

fof(f813,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c7)) )
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f178,f752]) ).

fof(f178,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c5)) )
    | ~ spl22_15 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl22_15
  <=> ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).

fof(f812,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_18 ),
    inference(avatar_contradiction_clause,[],[f811]) ).

fof(f811,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f810,f605]) ).

fof(f605,plain,
    ( ~ sP0(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f35,f483]) ).

fof(f810,plain,
    ( sP0(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f809,f757]) ).

fof(f809,plain,
    ( sP0(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f808,f604]) ).

fof(f604,plain,
    ( ~ sP1(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f36,f483]) ).

fof(f808,plain,
    ( sP1(sk_c7)
    | sP0(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_18 ),
    inference(superposition,[],[f798,f597]) ).

fof(f798,plain,
    ( ! [X6] :
        ( sP1(inverse(X6))
        | sP0(multiply(X6,sk_c7)) )
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f188,f752]) ).

fof(f801,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | spl22_6
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | spl22_6
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(subsumption_resolution,[],[f799,f483]) ).

fof(f799,plain,
    ( sk_c7 != sk_c6
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | spl22_6
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f117,f797]) ).

fof(f797,plain,
    ( sk_c7 = sF16
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f796,f757]) ).

fof(f796,plain,
    ( sF16 = multiply(sk_c7,sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f795,f784]) ).

fof(f784,plain,
    ( sk_c7 = sk_c4
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f782,f757]) ).

fof(f782,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(superposition,[],[f761,f667]) ).

fof(f667,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f54,f666]) ).

fof(f666,plain,
    ( sk_c7 = sF15
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f113,f483]) ).

fof(f761,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c7
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f704,f752]) ).

fof(f704,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c5
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f2,f702]) ).

fof(f795,plain,
    ( sF16 = multiply(sk_c4,sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f56,f752]) ).

fof(f117,plain,
    ( sk_c6 != sF16
    | spl22_6 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f794,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_13 ),
    inference(avatar_contradiction_clause,[],[f793]) ).

fof(f793,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f792,f603]) ).

fof(f603,plain,
    ( ~ sP9(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f44,f483]) ).

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

fof(f792,plain,
    ( sP9(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_13 ),
    inference(forward_demodulation,[],[f791,f757]) ).

fof(f791,plain,
    ( sP9(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f790,f43]) ).

fof(f43,plain,
    ~ sP8(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f790,plain,
    ( sP8(sk_c7)
    | sP9(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_13 ),
    inference(superposition,[],[f171,f597]) ).

fof(f171,plain,
    ( ! [X3] :
        ( sP8(inverse(X3))
        | sP9(multiply(X3,sk_c7)) )
    | ~ spl22_13 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl22_13
  <=> ! [X3] :
        ( sP8(inverse(X3))
        | sP9(multiply(X3,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).

fof(f695,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_17 ),
    inference(avatar_contradiction_clause,[],[f694]) ).

fof(f694,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f693,f37]) ).

fof(f693,plain,
    ( sP2(sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f692,f610]) ).

fof(f610,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f609,f1]) ).

fof(f609,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f476,f485]) ).

fof(f476,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,X0)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_10 ),
    inference(backward_demodulation,[],[f466,f475]) ).

fof(f466,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | ~ spl22_10 ),
    inference(backward_demodulation,[],[f212,f150]) ).

fof(f212,plain,
    ! [X0] : multiply(sk_c2,multiply(sk_c5,X0)) = multiply(sF20,X0),
    inference(superposition,[],[f3,f76]) ).

fof(f692,plain,
    ( sP2(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f691,f38]) ).

fof(f691,plain,
    ( sP3(sk_c7)
    | sP2(multiply(sk_c7,sk_c7))
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_17 ),
    inference(superposition,[],[f690,f597]) ).

fof(f690,plain,
    ( ! [X5] :
        ( sP3(inverse(X5))
        | sP2(multiply(X5,sk_c7)) )
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f185,f483]) ).

fof(f655,plain,
    ( spl22_4
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(avatar_split_clause,[],[f654,f157,f148,f139,f101,f96,f92,f106]) ).

fof(f654,plain,
    ( sk_c7 = sF14
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f653,f610]) ).

fof(f653,plain,
    ( sF14 = multiply(sk_c7,sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(forward_demodulation,[],[f652,f623]) ).

fof(f623,plain,
    ( sk_c7 = sk_c3
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f614,f615]) ).

fof(f615,plain,
    ( identity = sk_c7
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f596,f610]) ).

fof(f614,plain,
    ( identity = sk_c3
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f595,f610]) ).

fof(f595,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f484,f483]) ).

fof(f484,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(backward_demodulation,[],[f228,f475]) ).

fof(f228,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(superposition,[],[f206,f198]) ).

fof(f198,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl22_3 ),
    inference(superposition,[],[f2,f193]) ).

fof(f193,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl22_3 ),
    inference(backward_demodulation,[],[f50,f103]) ).

fof(f652,plain,
    ( sF14 = multiply(sk_c3,sk_c7)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f52,f483]) ).

fof(f594,plain,
    ( ~ spl22_12
    | ~ spl22_1 ),
    inference(avatar_split_clause,[],[f473,f92,f166]) ).

fof(f166,plain,
    ( spl22_12
  <=> sP10(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).

fof(f473,plain,
    ( ~ sP10(sk_c6)
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f88,f94]) ).

fof(f88,plain,
    ~ sP10(sF12),
    inference(definition_folding,[],[f45,f48]) ).

fof(f45,plain,
    ~ sP10(inverse(sk_c7)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).

fof(f436,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_15 ),
    inference(avatar_contradiction_clause,[],[f435]) ).

fof(f435,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f434,f41]) ).

fof(f434,plain,
    ( sP6(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f433,f297]) ).

fof(f297,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f296,f217]) ).

fof(f217,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl22_3 ),
    inference(forward_demodulation,[],[f205,f1]) ).

fof(f205,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl22_3 ),
    inference(superposition,[],[f3,f198]) ).

fof(f296,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f288,f282]) ).

fof(f282,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f276,f209]) ).

fof(f209,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl22_4 ),
    inference(superposition,[],[f3,f192]) ).

fof(f192,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f52,f108]) ).

fof(f276,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f246,f258]) ).

fof(f258,plain,
    ( sk_c6 = sk_c5
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f257,f195]) ).

fof(f257,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f252,f190]) ).

fof(f190,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f56,f118]) ).

fof(f252,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c5)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(superposition,[],[f210,f232]) ).

fof(f232,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f230,f224]) ).

fof(f224,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(superposition,[],[f218,f190]) ).

fof(f218,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl22_5 ),
    inference(forward_demodulation,[],[f207,f1]) ).

fof(f207,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl22_5 ),
    inference(superposition,[],[f3,f199]) ).

fof(f199,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl22_5 ),
    inference(superposition,[],[f2,f191]) ).

fof(f191,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl22_5 ),
    inference(backward_demodulation,[],[f54,f113]) ).

fof(f230,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(superposition,[],[f206,f220]) ).

fof(f220,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(superposition,[],[f217,f192]) ).

fof(f210,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl22_6 ),
    inference(superposition,[],[f3,f190]) ).

fof(f246,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(forward_demodulation,[],[f240,f223]) ).

fof(f223,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(superposition,[],[f3,f220]) ).

fof(f240,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl22_2
    | ~ spl22_4 ),
    inference(superposition,[],[f209,f206]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f273,f282]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f229,f258]) ).

fof(f229,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(superposition,[],[f206,f217]) ).

fof(f433,plain,
    ( sP6(multiply(sk_c7,sk_c7))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f430,f325]) ).

fof(f325,plain,
    ( ~ sP5(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f259,f316]) ).

fof(f316,plain,
    ( sk_c7 = sk_c6
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f192,f301]) ).

fof(f301,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f283,f297]) ).

fof(f283,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f209,f282]) ).

fof(f259,plain,
    ( ~ sP5(sk_c6)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f40,f258]) ).

fof(f430,plain,
    ( sP5(sk_c7)
    | sP6(multiply(sk_c7,sk_c7))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_15 ),
    inference(superposition,[],[f427,f341]) ).

fof(f341,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f48,f338]) ).

fof(f338,plain,
    ( sk_c7 = sF12
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f336,f48]) ).

fof(f336,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f193,f335]) ).

fof(f335,plain,
    ( sk_c7 = sk_c3
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f308,f311]) ).

fof(f311,plain,
    ( identity = sk_c7
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f197,f299]) ).

fof(f299,plain,
    ( ! [X0] : multiply(sF12,X0) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f219,f297]) ).

fof(f308,plain,
    ( identity = sk_c3
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f198,f297]) ).

fof(f427,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c7)) )
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f178,f324]) ).

fof(f324,plain,
    ( sk_c7 = sk_c5
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f258,f316]) ).

fof(f426,plain,
    ( ~ spl22_9
    | ~ spl22_14 ),
    inference(avatar_contradiction_clause,[],[f425]) ).

fof(f425,plain,
    ( $false
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f424,f42]) ).

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

fof(f424,plain,
    ( sP7(sk_c7)
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f175,f141]) ).

fof(f175,plain,
    ( sP7(sF19)
    | ~ spl22_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl22_14
  <=> sP7(sF19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).

fof(f401,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_13 ),
    inference(avatar_contradiction_clause,[],[f400]) ).

fof(f400,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f399,f319]) ).

fof(f319,plain,
    ( ~ sP9(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f44,f316]) ).

fof(f399,plain,
    ( sP9(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_13 ),
    inference(forward_demodulation,[],[f398,f297]) ).

fof(f398,plain,
    ( sP9(multiply(sk_c7,sk_c7))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f395,f43]) ).

fof(f395,plain,
    ( sP8(sk_c7)
    | sP9(multiply(sk_c7,sk_c7))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_13 ),
    inference(superposition,[],[f171,f341]) ).

fof(f343,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_12 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_12 ),
    inference(subsumption_resolution,[],[f340,f322]) ).

fof(f322,plain,
    ( sP10(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f168,f316]) ).

fof(f168,plain,
    ( sP10(sk_c6)
    | ~ spl22_12 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f340,plain,
    ( ~ sP10(sk_c7)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f88,f338]) ).

fof(f332,plain,
    ( spl22_9
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(avatar_split_clause,[],[f330,f116,f111,f106,f101,f96,f139]) ).

fof(f330,plain,
    ( sk_c7 = sF19
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f279,f316]) ).

fof(f279,plain,
    ( sk_c6 = sF19
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(forward_demodulation,[],[f270,f260]) ).

fof(f260,plain,
    ( sF19 = multiply(sk_c6,sk_c6)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f70,f258]) ).

fof(f270,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f224,f258]) ).

fof(f196,plain,
    ( ~ spl22_16
    | ~ spl22_2 ),
    inference(avatar_split_clause,[],[f194,f96,f180]) ).

fof(f180,plain,
    ( spl22_16
  <=> sP4(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).

fof(f194,plain,
    ( ~ sP4(sk_c5)
    | ~ spl22_2 ),
    inference(backward_demodulation,[],[f89,f98]) ).

fof(f89,plain,
    ~ sP4(sF11),
    inference(definition_folding,[],[f39,f47]) ).

fof(f39,plain,
    ~ sP4(multiply(sk_c6,sk_c7)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f189,plain,
    ( spl22_12
    | spl22_13
    | spl22_14
    | spl22_15
    | spl22_16
    | spl22_17
    | spl22_18 ),
    inference(avatar_split_clause,[],[f90,f187,f184,f180,f177,f173,f170,f166]) ).

fof(f90,plain,
    ! [X3,X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(sk_c5)
      | sP5(inverse(X4))
      | sP6(multiply(X4,sk_c5))
      | sP7(sF19)
      | sP8(inverse(X3))
      | sP9(multiply(X3,sk_c7))
      | sP10(sk_c6) ),
    inference(definition_folding,[],[f46,f70]) ).

fof(f46,plain,
    ! [X3,X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(sk_c5)
      | sP5(inverse(X4))
      | sP6(multiply(X4,sk_c5))
      | sP7(multiply(sk_c5,sk_c6))
      | sP8(inverse(X3))
      | sP9(multiply(X3,sk_c7))
      | sP10(sk_c6) ),
    inference(inequality_splitting,[],[f34,f45,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)
      | multiply(sk_c6,sk_c7) != sk_c5
      | sk_c5 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c5)
      | sk_c7 != multiply(sk_c5,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | inverse(sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_31) ).

fof(f164,plain,
    ( spl22_11
    | spl22_6 ),
    inference(avatar_split_clause,[],[f87,f116,f157]) ).

fof(f87,plain,
    ( sk_c6 = sF16
    | sk_c5 = sF21 ),
    inference(definition_folding,[],[f33,f82,f56]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_30) ).

fof(f163,plain,
    ( spl22_11
    | spl22_5 ),
    inference(avatar_split_clause,[],[f86,f111,f157]) ).

fof(f86,plain,
    ( sk_c6 = sF15
    | sk_c5 = sF21 ),
    inference(definition_folding,[],[f32,f82,f54]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_29) ).

fof(f162,plain,
    ( spl22_11
    | spl22_4 ),
    inference(avatar_split_clause,[],[f85,f106,f157]) ).

fof(f85,plain,
    ( sk_c7 = sF14
    | sk_c5 = sF21 ),
    inference(definition_folding,[],[f31,f82,f52]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_28) ).

fof(f161,plain,
    ( spl22_11
    | spl22_3 ),
    inference(avatar_split_clause,[],[f84,f101,f157]) ).

fof(f84,plain,
    ( sk_c7 = sF13
    | sk_c5 = sF21 ),
    inference(definition_folding,[],[f30,f82,f50]) ).

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_27) ).

fof(f160,plain,
    ( spl22_11
    | spl22_2 ),
    inference(avatar_split_clause,[],[f83,f96,f157]) ).

fof(f83,plain,
    ( sk_c5 = sF11
    | sk_c5 = sF21 ),
    inference(definition_folding,[],[f29,f82,f47]) ).

fof(f29,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_26) ).

fof(f155,plain,
    ( spl22_10
    | spl22_6 ),
    inference(avatar_split_clause,[],[f81,f116,f148]) ).

fof(f81,plain,
    ( sk_c6 = sF16
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f28,f76,f56]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_25) ).

fof(f154,plain,
    ( spl22_10
    | spl22_5 ),
    inference(avatar_split_clause,[],[f80,f111,f148]) ).

fof(f80,plain,
    ( sk_c6 = sF15
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f27,f76,f54]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_24) ).

fof(f153,plain,
    ( spl22_10
    | spl22_4 ),
    inference(avatar_split_clause,[],[f79,f106,f148]) ).

fof(f79,plain,
    ( sk_c7 = sF14
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f26,f76,f52]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_23) ).

fof(f152,plain,
    ( spl22_10
    | spl22_3 ),
    inference(avatar_split_clause,[],[f78,f101,f148]) ).

fof(f78,plain,
    ( sk_c7 = sF13
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f25,f76,f50]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_22) ).

fof(f151,plain,
    ( spl22_10
    | spl22_2 ),
    inference(avatar_split_clause,[],[f77,f96,f148]) ).

fof(f77,plain,
    ( sk_c5 = sF11
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f24,f76,f47]) ).

fof(f24,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_21) ).

fof(f146,plain,
    ( spl22_9
    | spl22_6 ),
    inference(avatar_split_clause,[],[f75,f116,f139]) ).

fof(f75,plain,
    ( sk_c6 = sF16
    | sk_c7 = sF19 ),
    inference(definition_folding,[],[f23,f70,f56]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_20) ).

fof(f145,plain,
    ( spl22_9
    | spl22_5 ),
    inference(avatar_split_clause,[],[f74,f111,f139]) ).

fof(f74,plain,
    ( sk_c6 = sF15
    | sk_c7 = sF19 ),
    inference(definition_folding,[],[f22,f70,f54]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_19) ).

fof(f144,plain,
    ( spl22_9
    | spl22_4 ),
    inference(avatar_split_clause,[],[f73,f106,f139]) ).

fof(f73,plain,
    ( sk_c7 = sF14
    | sk_c7 = sF19 ),
    inference(definition_folding,[],[f21,f70,f52]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_18) ).

fof(f143,plain,
    ( spl22_9
    | spl22_3 ),
    inference(avatar_split_clause,[],[f72,f101,f139]) ).

fof(f72,plain,
    ( sk_c7 = sF13
    | sk_c7 = sF19 ),
    inference(definition_folding,[],[f20,f70,f50]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_17) ).

fof(f142,plain,
    ( spl22_9
    | spl22_2 ),
    inference(avatar_split_clause,[],[f71,f96,f139]) ).

fof(f71,plain,
    ( sk_c5 = sF11
    | sk_c7 = sF19 ),
    inference(definition_folding,[],[f19,f70,f47]) ).

fof(f19,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_16) ).

fof(f133,plain,
    ( spl22_8
    | spl22_2 ),
    inference(avatar_split_clause,[],[f65,f96,f130]) ).

fof(f65,plain,
    ( sk_c5 = sF11
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f14,f64,f47]) ).

fof(f14,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_11) ).

fof(f124,plain,
    ( spl22_7
    | spl22_2 ),
    inference(avatar_split_clause,[],[f59,f96,f121]) ).

fof(f59,plain,
    ( sk_c5 = sF11
    | sk_c6 = sF17 ),
    inference(definition_folding,[],[f9,f58,f47]) ).

fof(f9,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_6) ).

fof(f119,plain,
    ( spl22_1
    | spl22_6 ),
    inference(avatar_split_clause,[],[f57,f116,f92]) ).

fof(f57,plain,
    ( sk_c6 = sF16
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f8,f48,f56]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_5) ).

fof(f114,plain,
    ( spl22_1
    | spl22_5 ),
    inference(avatar_split_clause,[],[f55,f111,f92]) ).

fof(f55,plain,
    ( sk_c6 = sF15
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f7,f48,f54]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_4) ).

fof(f109,plain,
    ( spl22_1
    | spl22_4 ),
    inference(avatar_split_clause,[],[f53,f106,f92]) ).

fof(f53,plain,
    ( sk_c7 = sF14
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f6,f48,f52]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_3) ).

fof(f104,plain,
    ( spl22_1
    | spl22_3 ),
    inference(avatar_split_clause,[],[f51,f101,f92]) ).

fof(f51,plain,
    ( sk_c7 = sF13
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f5,f48,f50]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_2) ).

fof(f99,plain,
    ( spl22_1
    | spl22_2 ),
    inference(avatar_split_clause,[],[f49,f96,f92]) ).

fof(f49,plain,
    ( sk_c5 = sF11
    | sk_c6 = sF12 ),
    inference(definition_folding,[],[f4,f48,f47]) ).

fof(f4,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 20:42:23 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BwXBj5XMvO/Vampire---4.8_32036
% 0.60/0.81  % (32151)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81  % (32153)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81  % (32149)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 (2995ds/51Mi)
% 0.60/0.81  % (32152)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 (2995ds/34Mi)
% 0.60/0.81  % (32148)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 (2995ds/34Mi)
% 0.60/0.81  % (32150)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (32154)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 (2995ds/83Mi)
% 0.60/0.81  % (32155)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 (2995ds/56Mi)
% 0.60/0.81  % (32155)Refutation not found, incomplete strategy% (32155)------------------------------
% 0.60/0.81  % (32155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32155)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32155)Memory used [KB]: 983
% 0.60/0.81  % (32155)Time elapsed: 0.003 s
% 0.60/0.81  % (32155)Instructions burned: 3 (million)
% 0.60/0.81  % (32148)Refutation not found, incomplete strategy% (32148)------------------------------
% 0.60/0.81  % (32148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32148)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32148)Memory used [KB]: 998
% 0.60/0.81  % (32148)Time elapsed: 0.004 s
% 0.60/0.81  % (32148)Instructions burned: 3 (million)
% 0.60/0.81  % (32152)Refutation not found, incomplete strategy% (32152)------------------------------
% 0.60/0.81  % (32152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32152)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32155)------------------------------
% 0.60/0.81  % (32155)------------------------------
% 0.60/0.81  % (32152)Memory used [KB]: 998
% 0.60/0.81  % (32152)Time elapsed: 0.004 s
% 0.60/0.81  % (32152)Instructions burned: 4 (million)
% 0.60/0.81  % (32153)Refutation not found, incomplete strategy% (32153)------------------------------
% 0.60/0.81  % (32153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32148)------------------------------
% 0.60/0.81  % (32148)------------------------------
% 0.60/0.81  % (32153)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32153)Memory used [KB]: 986
% 0.60/0.81  % (32153)Time elapsed: 0.004 s
% 0.60/0.81  % (32153)Instructions burned: 4 (million)
% 0.60/0.81  % (32152)------------------------------
% 0.60/0.81  % (32152)------------------------------
% 0.60/0.81  % (32153)------------------------------
% 0.60/0.81  % (32153)------------------------------
% 0.60/0.81  % (32150)Refutation not found, incomplete strategy% (32150)------------------------------
% 0.60/0.81  % (32150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32150)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32150)Memory used [KB]: 1052
% 0.60/0.81  % (32150)Time elapsed: 0.004 s
% 0.60/0.81  % (32150)Instructions burned: 5 (million)
% 0.60/0.81  % (32150)------------------------------
% 0.60/0.81  % (32150)------------------------------
% 0.60/0.81  % (32151)Refutation not found, incomplete strategy% (32151)------------------------------
% 0.60/0.81  % (32151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32151)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32151)Memory used [KB]: 989
% 0.60/0.81  % (32151)Time elapsed: 0.004 s
% 0.60/0.81  % (32151)Instructions burned: 3 (million)
% 0.60/0.81  % (32151)------------------------------
% 0.60/0.81  % (32151)------------------------------
% 0.60/0.81  % (32156)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 (2995ds/55Mi)
% 0.60/0.81  % (32157)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 (2995ds/50Mi)
% 0.60/0.81  % (32158)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 (2995ds/208Mi)
% 0.60/0.81  % (32159)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 (2995ds/52Mi)
% 0.60/0.81  % (32160)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 (2995ds/518Mi)
% 0.60/0.81  % (32161)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 (2995ds/42Mi)
% 0.60/0.81  % (32157)Refutation not found, incomplete strategy% (32157)------------------------------
% 0.60/0.81  % (32157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32157)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32157)Memory used [KB]: 991
% 0.60/0.81  % (32157)Time elapsed: 0.004 s
% 0.60/0.81  % (32157)Instructions burned: 5 (million)
% 0.60/0.81  % (32159)Refutation not found, incomplete strategy% (32159)------------------------------
% 0.60/0.81  % (32159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32159)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32160)Refutation not found, incomplete strategy% (32160)------------------------------
% 0.60/0.81  % (32160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32160)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32160)Memory used [KB]: 986
% 0.60/0.81  % (32160)Time elapsed: 0.003 s
% 0.60/0.81  % (32160)Instructions burned: 4 (million)
% 0.60/0.81  % (32159)Memory used [KB]: 1052
% 0.60/0.81  % (32157)------------------------------
% 0.60/0.81  % (32157)------------------------------
% 0.60/0.81  % (32159)Time elapsed: 0.004 s
% 0.60/0.81  % (32159)Instructions burned: 5 (million)
% 0.60/0.81  % (32156)Refutation not found, incomplete strategy% (32156)------------------------------
% 0.60/0.81  % (32156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32156)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32156)Memory used [KB]: 1062
% 0.60/0.81  % (32156)Time elapsed: 0.004 s
% 0.60/0.81  % (32156)Instructions burned: 5 (million)
% 0.60/0.81  % (32160)------------------------------
% 0.60/0.81  % (32160)------------------------------
% 0.60/0.81  % (32159)------------------------------
% 0.60/0.81  % (32159)------------------------------
% 0.60/0.81  % (32156)------------------------------
% 0.60/0.81  % (32156)------------------------------
% 0.60/0.81  % (32161)Refutation not found, incomplete strategy% (32161)------------------------------
% 0.60/0.81  % (32161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (32161)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (32161)Memory used [KB]: 1005
% 0.60/0.81  % (32161)Time elapsed: 0.003 s
% 0.60/0.81  % (32161)Instructions burned: 4 (million)
% 0.60/0.82  % (32161)------------------------------
% 0.60/0.82  % (32161)------------------------------
% 0.60/0.82  % (32162)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 (2995ds/243Mi)
% 0.60/0.82  % (32163)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 (2995ds/117Mi)
% 0.60/0.82  % (32164)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 (2995ds/143Mi)
% 0.60/0.82  % (32165)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 (2995ds/93Mi)
% 0.60/0.82  % (32166)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 (2995ds/62Mi)
% 0.60/0.82  % (32163)Refutation not found, incomplete strategy% (32163)------------------------------
% 0.60/0.82  % (32163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (32163)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (32163)Memory used [KB]: 984
% 0.60/0.82  % (32163)Time elapsed: 0.003 s
% 0.60/0.82  % (32163)Instructions burned: 3 (million)
% 0.60/0.82  % (32164)Refutation not found, incomplete strategy% (32164)------------------------------
% 0.60/0.82  % (32164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (32164)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (32164)Memory used [KB]: 1000
% 0.60/0.82  % (32164)Time elapsed: 0.003 s
% 0.60/0.82  % (32164)Instructions burned: 3 (million)
% 0.60/0.82  % (32163)------------------------------
% 0.60/0.82  % (32163)------------------------------
% 0.60/0.82  % (32166)Refutation not found, incomplete strategy% (32166)------------------------------
% 0.60/0.82  % (32166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (32166)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (32164)------------------------------
% 0.60/0.82  % (32164)------------------------------
% 0.60/0.82  % (32166)Memory used [KB]: 984
% 0.60/0.82  % (32166)Time elapsed: 0.003 s
% 0.60/0.82  % (32166)Instructions burned: 3 (million)
% 0.60/0.82  % (32166)------------------------------
% 0.60/0.82  % (32166)------------------------------
% 0.60/0.82  % (32158)Refutation not found, incomplete strategy% (32158)------------------------------
% 0.60/0.82  % (32158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (32158)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (32158)Memory used [KB]: 1189
% 0.60/0.82  % (32158)Time elapsed: 0.010 s
% 0.60/0.82  % (32158)Instructions burned: 18 (million)
% 0.60/0.82  % (32158)------------------------------
% 0.60/0.82  % (32158)------------------------------
% 0.60/0.82  % (32167)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 (2995ds/32Mi)
% 0.60/0.82  % (32168)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 (2995ds/1919Mi)
% 0.60/0.82  % (32169)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 (2995ds/55Mi)
% 0.60/0.82  % (32170)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 (2995ds/53Mi)
% 0.60/0.82  % (32162)Refutation not found, incomplete strategy% (32162)------------------------------
% 0.60/0.82  % (32162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (32162)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (32162)Memory used [KB]: 1097
% 0.60/0.82  % (32162)Time elapsed: 0.008 s
% 0.60/0.82  % (32162)Instructions burned: 14 (million)
% 0.60/0.82  % (32167)Refutation not found, incomplete strategy% (32167)------------------------------
% 0.60/0.82  % (32167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (32162)------------------------------
% 0.60/0.82  % (32162)------------------------------
% 0.60/0.82  % (32167)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (32167)Memory used [KB]: 994
% 0.60/0.82  % (32167)Time elapsed: 0.004 s
% 0.60/0.82  % (32167)Instructions burned: 4 (million)
% 0.60/0.83  % (32167)------------------------------
% 0.60/0.83  % (32167)------------------------------
% 0.60/0.83  % (32168)Refutation not found, incomplete strategy% (32168)------------------------------
% 0.60/0.83  % (32168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (32168)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  % (32169)Refutation not found, incomplete strategy% (32169)------------------------------
% 0.60/0.83  % (32169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (32169)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (32169)Memory used [KB]: 1006
% 0.60/0.83  % (32169)Time elapsed: 0.003 s
% 0.60/0.83  % (32169)Instructions burned: 5 (million)
% 0.60/0.83  
% 0.60/0.83  % (32168)Memory used [KB]: 1053
% 0.60/0.83  % (32168)Time elapsed: 0.004 s
% 0.60/0.83  % (32168)Instructions burned: 5 (million)
% 0.60/0.83  % (32169)------------------------------
% 0.60/0.83  % (32169)------------------------------
% 0.60/0.83  % (32168)------------------------------
% 0.60/0.83  % (32168)------------------------------
% 0.60/0.83  % (32171)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 (2995ds/46Mi)
% 0.60/0.83  % (32172)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 (2995ds/102Mi)
% 0.60/0.83  % (32174)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.60/0.83  % (32173)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 (2995ds/35Mi)
% 0.60/0.83  % (32171)Refutation not found, incomplete strategy% (32171)------------------------------
% 0.60/0.83  % (32171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (32171)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (32171)Memory used [KB]: 988
% 0.60/0.83  % (32171)Time elapsed: 0.003 s
% 0.60/0.83  % (32171)Instructions burned: 3 (million)
% 0.60/0.83  % (32171)------------------------------
% 0.60/0.83  % (32171)------------------------------
% 0.60/0.83  % (32172)Refutation not found, incomplete strategy% (32172)------------------------------
% 0.60/0.83  % (32172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (32172)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (32172)Memory used [KB]: 1079
% 0.60/0.83  % (32172)Time elapsed: 0.004 s
% 0.60/0.83  % (32172)Instructions burned: 6 (million)
% 0.60/0.83  % (32172)------------------------------
% 0.60/0.83  % (32172)------------------------------
% 0.60/0.83  % (32149)Instruction limit reached!
% 0.60/0.83  % (32149)------------------------------
% 0.60/0.83  % (32149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (32149)Termination reason: Unknown
% 0.60/0.83  % (32149)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (32149)Memory used [KB]: 1546
% 0.60/0.83  % (32149)Time elapsed: 0.028 s
% 0.60/0.83  % (32149)Instructions burned: 51 (million)
% 0.60/0.83  % (32149)------------------------------
% 0.60/0.83  % (32149)------------------------------
% 0.60/0.83  % (32175)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 (2995ds/109Mi)
% 0.60/0.83  % (32176)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 (2995ds/161Mi)
% 0.60/0.84  % (32177)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)
% 0.60/0.84  % (32176)Refutation not found, incomplete strategy% (32176)------------------------------
% 0.60/0.84  % (32176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (32176)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (32176)Memory used [KB]: 979
% 0.60/0.84  % (32176)Time elapsed: 0.003 s
% 0.60/0.84  % (32176)Instructions burned: 3 (million)
% 0.60/0.84  % (32176)------------------------------
% 0.60/0.84  % (32176)------------------------------
% 0.60/0.84  % (32170)Refutation not found, incomplete strategy% (32170)------------------------------
% 0.60/0.84  % (32170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (32170)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (32170)Memory used [KB]: 1118
% 0.60/0.84  % (32170)Time elapsed: 0.014 s
% 0.60/0.84  % (32170)Instructions burned: 26 (million)
% 0.60/0.84  % (32170)------------------------------
% 0.60/0.84  % (32170)------------------------------
% 0.60/0.84  % (32177)Refutation not found, incomplete strategy% (32177)------------------------------
% 0.60/0.84  % (32177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (32177)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (32177)Memory used [KB]: 994
% 0.60/0.84  % (32177)Time elapsed: 0.003 s
% 0.60/0.84  % (32177)Instructions burned: 4 (million)
% 0.60/0.84  % (32177)------------------------------
% 0.60/0.84  % (32177)------------------------------
% 0.60/0.84  % (32178)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)
% 0.60/0.84  % (32179)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)
% 0.60/0.84  % (32180)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)
% 0.81/0.84  % (32173)Instruction limit reached!
% 0.81/0.84  % (32173)------------------------------
% 0.81/0.84  % (32173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84  % (32173)Termination reason: Unknown
% 0.81/0.84  % (32173)Termination phase: Saturation
% 0.81/0.84  
% 0.81/0.84  % (32173)Memory used [KB]: 1169
% 0.81/0.85  % (32173)Time elapsed: 0.018 s
% 0.81/0.85  % (32154)Instruction limit reached!
% 0.81/0.85  % (32154)------------------------------
% 0.81/0.85  % (32154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.85  % (32154)Termination reason: Unknown
% 0.81/0.85  % (32154)Termination phase: Saturation
% 0.81/0.85  
% 0.81/0.85  % (32154)Memory used [KB]: 1940
% 0.81/0.85  % (32154)Time elapsed: 0.041 s
% 0.81/0.85  % (32154)Instructions burned: 83 (million)
% 0.81/0.85  % (32154)------------------------------
% 0.81/0.85  % (32154)------------------------------
% 0.81/0.85  % (32173)Instructions burned: 37 (million)
% 0.81/0.85  % (32173)------------------------------
% 0.81/0.85  % (32173)------------------------------
% 0.81/0.85  % (32181)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)
% 0.81/0.85  % (32182)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)
% 0.81/0.85  % (32178)Refutation not found, incomplete strategy% (32178)------------------------------
% 0.81/0.85  % (32178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.85  % (32178)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.85  
% 0.81/0.85  % (32178)Memory used [KB]: 1275
% 0.81/0.85  % (32178)Time elapsed: 0.013 s
% 0.81/0.85  % (32178)Instructions burned: 22 (million)
% 0.81/0.85  % (32178)------------------------------
% 0.81/0.85  % (32178)------------------------------
% 0.81/0.85  % (32183)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 (2994ds/55Mi)
% 0.81/0.86  % (32183)Refutation not found, incomplete strategy% (32183)------------------------------
% 0.81/0.86  % (32183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.86  % (32183)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.86  
% 0.81/0.86  % (32183)Memory used [KB]: 1072
% 0.81/0.86  % (32183)Time elapsed: 0.026 s
% 0.81/0.86  % (32183)Instructions burned: 6 (million)
% 0.81/0.86  % (32183)------------------------------
% 0.81/0.86  % (32183)------------------------------
% 0.81/0.86  % (32165)Instruction limit reached!
% 0.81/0.86  % (32165)------------------------------
% 0.81/0.86  % (32165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.86  % (32165)Termination reason: Unknown
% 0.81/0.86  % (32165)Termination phase: Saturation
% 0.81/0.86  
% 0.81/0.86  % (32165)Memory used [KB]: 2203
% 0.81/0.86  % (32165)Time elapsed: 0.044 s
% 0.81/0.86  % (32165)Instructions burned: 93 (million)
% 0.81/0.86  % (32165)------------------------------
% 0.81/0.86  % (32165)------------------------------
% 0.81/0.86  % (32184)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 (2994ds/47Mi)
% 0.81/0.86  % (32185)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 0.81/0.86  % (32179)First to succeed.
% 0.81/0.87  % (32185)Refutation not found, incomplete strategy% (32185)------------------------------
% 0.81/0.87  % (32185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.87  % (32185)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.87  
% 0.81/0.87  % (32185)Memory used [KB]: 983
% 0.81/0.87  % (32185)Time elapsed: 0.003 s
% 0.81/0.87  % (32185)Instructions burned: 3 (million)
% 0.81/0.87  % (32185)------------------------------
% 0.81/0.87  % (32185)------------------------------
% 0.81/0.87  % (32174)Instruction limit reached!
% 0.81/0.87  % (32174)------------------------------
% 0.81/0.87  % (32174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.87  % (32174)Termination reason: Unknown
% 0.81/0.87  % (32174)Termination phase: Saturation
% 0.81/0.87  
% 0.81/0.87  % (32174)Memory used [KB]: 1404
% 0.81/0.87  % (32174)Time elapsed: 0.039 s
% 0.81/0.87  % (32174)Instructions burned: 87 (million)
% 0.81/0.87  % (32174)------------------------------
% 0.81/0.87  % (32174)------------------------------
% 0.81/0.87  % (32182)Instruction limit reached!
% 0.81/0.87  % (32182)------------------------------
% 0.81/0.87  % (32182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.87  % (32182)Termination reason: Unknown
% 0.81/0.87  % (32182)Termination phase: Saturation
% 0.81/0.87  
% 0.81/0.87  % (32182)Memory used [KB]: 1582
% 0.81/0.87  % (32182)Time elapsed: 0.020 s
% 0.81/0.87  % (32182)Instructions burned: 39 (million)
% 0.81/0.87  % (32182)------------------------------
% 0.81/0.87  % (32182)------------------------------
% 0.81/0.87  % (32179)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32143"
% 0.81/0.87  % (32186)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 (2994ds/132Mi)
% 0.81/0.87  % (32179)Refutation found. Thanks to Tanya!
% 0.81/0.87  % SZS status Unsatisfiable for Vampire---4
% 0.81/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.81/0.87  % (32179)------------------------------
% 0.81/0.87  % (32179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.87  % (32179)Termination reason: Refutation
% 0.81/0.87  
% 0.81/0.87  % (32179)Memory used [KB]: 1303
% 0.81/0.87  % (32179)Time elapsed: 0.029 s
% 0.81/0.87  % (32179)Instructions burned: 53 (million)
% 0.81/0.87  % (32143)Success in time 0.542 s
% 0.81/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------