TSTP Solution File: GRP359-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP359-1 : 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 : n032.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 05:47:31 EDT 2024

% Result   : Unsatisfiable 0.49s 0.67s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  356 (  32 unt;   0 def)
%            Number of atoms       : 1291 ( 310 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1738 ( 803   ~; 918   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  18 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f997,plain,
    $false,
    inference(avatar_sat_refutation,[],[f98,f103,f108,f113,f118,f123,f128,f129,f130,f131,f132,f133,f138,f139,f140,f141,f142,f143,f148,f149,f150,f151,f152,f153,f158,f159,f160,f161,f162,f163,f185,f245,f253,f334,f364,f416,f419,f555,f691,f822,f880,f944,f947,f957,f974,f993]) ).

fof(f993,plain,
    ( ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f992,plain,
    ( $false
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f991,f36]) ).

fof(f36,plain,
    ~ sP1(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f991,plain,
    ( sP1(sk_c7)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f990,f188]) ).

fof(f188,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl20_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f112,plain,
    ( sk_c7 = sF13
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl20_5
  <=> sk_c7 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f54,plain,
    multiply(sk_c8,sk_c5) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f990,plain,
    ( sP1(multiply(sk_c8,sk_c5))
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f989,f961]) ).

fof(f961,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f117,plain,
    ( sk_c5 = sF14
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl20_6
  <=> sk_c5 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f56,plain,
    multiply(sk_c4,sk_c8) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f989,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f985,f35]) ).

fof(f35,plain,
    ~ sP0(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f985,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(superposition,[],[f184,f960]) ).

fof(f960,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f122,plain,
    ( sk_c8 = sF15
    | ~ spl20_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl20_7
  <=> sk_c8 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f58,plain,
    inverse(sk_c4) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f184,plain,
    ( ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(sk_c8,multiply(X7,sk_c8))) )
    | ~ spl20_17 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl20_17
  <=> ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(sk_c8,multiply(X7,sk_c8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).

fof(f974,plain,
    ( ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(avatar_contradiction_clause,[],[f973]) ).

fof(f973,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f972,f38]) ).

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

fof(f972,plain,
    ( sP3(sk_c7)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f971,f963]) ).

fof(f963,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl20_3 ),
    inference(backward_demodulation,[],[f50,f102]) ).

fof(f102,plain,
    ( sk_c7 = sF11
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl20_3
  <=> sk_c7 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f50,plain,
    multiply(sk_c3,sk_c8) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f971,plain,
    ( sP3(multiply(sk_c3,sk_c8))
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f970,f37]) ).

fof(f37,plain,
    ~ sP2(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f970,plain,
    ( sP2(sk_c8)
    | sP3(multiply(sk_c3,sk_c8))
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(superposition,[],[f181,f962]) ).

fof(f962,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f52,f107]) ).

fof(f107,plain,
    ( sk_c8 = sF12
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl20_4
  <=> sk_c8 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f52,plain,
    inverse(sk_c3) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f181,plain,
    ( ! [X5] :
        ( sP2(inverse(X5))
        | sP3(multiply(X5,sk_c8)) )
    | ~ spl20_16 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl20_16
  <=> ! [X5] :
        ( sP2(inverse(X5))
        | sP3(multiply(X5,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f957,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(avatar_contradiction_clause,[],[f956]) ).

fof(f956,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f955,f924]) ).

fof(f924,plain,
    ( ~ sP3(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f38,f922]) ).

fof(f922,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f851,f768]) ).

fof(f768,plain,
    ( sk_c7 = sk_c2
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f383,f759]) ).

fof(f759,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f744,f753]) ).

fof(f753,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f424,f752]) ).

fof(f752,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f382,f747]) ).

fof(f747,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1,f745]) ).

fof(f745,plain,
    ( identity = sk_c2
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f742,f421]) ).

fof(f421,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f192,f127]) ).

fof(f127,plain,
    ( sk_c6 = sF16
    | ~ spl20_8 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl20_8
  <=> sk_c6 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

fof(f192,plain,
    identity = multiply(sF16,sk_c8),
    inference(superposition,[],[f2,f60]) ).

fof(f60,plain,
    inverse(sk_c8) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',left_inverse) ).

fof(f742,plain,
    ( sk_c2 = multiply(sk_c6,sk_c8)
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f381,f741]) ).

fof(f741,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f740,f1]) ).

fof(f740,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(superposition,[],[f3,f451]) ).

fof(f451,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(superposition,[],[f420,f378]) ).

fof(f378,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f195,f157]) ).

fof(f157,plain,
    ( sk_c8 = sF19
    | ~ spl20_11 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl20_11
  <=> sk_c8 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f195,plain,
    identity = multiply(sF19,sk_c1),
    inference(superposition,[],[f2,f81]) ).

fof(f81,plain,
    inverse(sk_c1) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f420,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f214,f127]) ).

fof(f214,plain,
    ! [X0] : multiply(sF16,multiply(sk_c8,X0)) = X0,
    inference(forward_demodulation,[],[f208,f1]) ).

fof(f208,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF16,multiply(sk_c8,X0)),
    inference(superposition,[],[f3,f192]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',associativity) ).

fof(f381,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f74,f147]) ).

fof(f147,plain,
    ( sk_c2 = sF18
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl20_10
  <=> sk_c2 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f74,plain,
    multiply(sk_c1,sk_c8) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',left_identity) ).

fof(f382,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f204,f137]) ).

fof(f137,plain,
    ( sk_c7 = sF17
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl20_9
  <=> sk_c7 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f204,plain,
    ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(sF17,X0),
    inference(superposition,[],[f3,f67]) ).

fof(f67,plain,
    multiply(sk_c8,sk_c2) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f424,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f199,f93]) ).

fof(f93,plain,
    ( sk_c8 = sF10
    | ~ spl20_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl20_1
  <=> sk_c8 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f199,plain,
    ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sF10,X0),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    multiply(sk_c7,sk_c6) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f744,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f435,f741]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f434,f1]) ).

fof(f434,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl20_11 ),
    inference(superposition,[],[f3,f378]) ).

fof(f383,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f67,f137]) ).

fof(f851,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f850,f759]) ).

fof(f850,plain,
    ( sk_c2 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f746,f767]) ).

fof(f767,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f754,f759]) ).

fof(f754,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f425,f752]) ).

fof(f425,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f48,f93]) ).

fof(f746,plain,
    ( sk_c2 = multiply(sk_c6,sk_c8)
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f421,f745]) ).

fof(f955,plain,
    ( sP3(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f954,f759]) ).

fof(f954,plain,
    ( sP3(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f953,f37]) ).

fof(f953,plain,
    ( sP2(sk_c8)
    | sP3(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(superposition,[],[f181,f826]) ).

fof(f826,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f422,f767]) ).

fof(f422,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f60,f127]) ).

fof(f947,plain,
    ( ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f946]) ).

fof(f946,plain,
    ( $false
    | ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f945,f767]) ).

fof(f945,plain,
    ( sk_c6 != sk_c8
    | ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f96,f941]) ).

fof(f941,plain,
    ( sk_c8 = sF9
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f858,f922]) ).

fof(f858,plain,
    ( sk_c7 = sF9
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f47,f759]) ).

fof(f47,plain,
    multiply(sk_c8,sk_c7) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f96,plain,
    ( sk_c6 != sF9
    | spl20_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl20_2
  <=> sk_c6 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f944,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_15 ),
    inference(avatar_contradiction_clause,[],[f943]) ).

fof(f943,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_15 ),
    inference(subsumption_resolution,[],[f942,f860]) ).

fof(f860,plain,
    ( ~ sP4(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f39,f767]) ).

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

fof(f942,plain,
    ( sP4(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_15 ),
    inference(backward_demodulation,[],[f178,f941]) ).

fof(f178,plain,
    ( sP4(sF9)
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl20_15
  <=> sP4(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

fof(f880,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f878,f828]) ).

fof(f828,plain,
    ( ~ sP7(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f42,f767]) ).

fof(f42,plain,
    ~ sP7(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f878,plain,
    ( sP7(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_13 ),
    inference(forward_demodulation,[],[f171,f827]) ).

fof(f827,plain,
    ( sk_c8 = sF16
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f127,f767]) ).

fof(f171,plain,
    ( sP7(sF16)
    | ~ spl20_13 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl20_13
  <=> sP7(sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

fof(f822,plain,
    ( ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f820,f782]) ).

fof(f782,plain,
    ( ~ sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f36,f781]) ).

fof(f781,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f773,f772]) ).

fof(f772,plain,
    ( sk_c7 = sk_c2
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f450,f770]) ).

fof(f770,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f760,f759]) ).

fof(f760,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f757,f759]) ).

fof(f757,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f733,f752]) ).

fof(f733,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl20_2 ),
    inference(superposition,[],[f3,f728]) ).

fof(f728,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl20_2 ),
    inference(forward_demodulation,[],[f47,f97]) ).

fof(f97,plain,
    ( sk_c6 = sF9
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f450,plain,
    ( sk_c2 = multiply(sk_c6,sk_c7)
    | ~ spl20_8
    | ~ spl20_9 ),
    inference(superposition,[],[f420,f383]) ).

fof(f773,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f746,f770]) ).

fof(f820,plain,
    ( sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f819,f759]) ).

fof(f819,plain,
    ( sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f818,f35]) ).

fof(f818,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(superposition,[],[f765,f803]) ).

fof(f803,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f422,f799]) ).

fof(f799,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f798,f422]) ).

fof(f798,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f379,f796]) ).

fof(f796,plain,
    ( sk_c8 = sk_c1
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f774,f789]) ).

fof(f789,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f772,f781]) ).

fof(f774,plain,
    ( sk_c2 = sk_c1
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f750,f770]) ).

fof(f750,plain,
    ( sk_c1 = multiply(sk_c6,sk_c2)
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f451,f745]) ).

fof(f379,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f81,f157]) ).

fof(f765,plain,
    ( ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(X7,sk_c8)) )
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(backward_demodulation,[],[f184,f759]) ).

fof(f691,plain,
    ( ~ spl20_1
    | spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f690]) ).

fof(f690,plain,
    ( $false
    | ~ spl20_1
    | spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f689,f668]) ).

fof(f668,plain,
    ( sk_c7 != sk_c8
    | ~ spl20_1
    | spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f101,f662]) ).

fof(f662,plain,
    ( sk_c8 = sF11
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f634,f654]) ).

fof(f654,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f420,f652]) ).

fof(f652,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f651,f453]) ).

fof(f453,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f212,f444]) ).

fof(f444,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(superposition,[],[f420,f212]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f201,f1]) ).

fof(f201,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl20_4 ),
    inference(superposition,[],[f3,f193]) ).

fof(f193,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl20_4 ),
    inference(superposition,[],[f2,f189]) ).

fof(f189,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f52,f107]) ).

fof(f651,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f424,f649]) ).

fof(f649,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f382,f648]) ).

fof(f648,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f647,f420]) ).

fof(f647,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f646,f444]) ).

fof(f646,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f380,f641]) ).

fof(f641,plain,
    ( sk_c3 = sk_c1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f640,f639]) ).

fof(f639,plain,
    ( sk_c3 = multiply(sk_c6,sF11)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f447,f633]) ).

fof(f633,plain,
    ( identity = sF11
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f632,f421]) ).

fof(f632,plain,
    ( sF11 = multiply(sk_c6,sk_c8)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f50,f444]) ).

fof(f447,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(superposition,[],[f420,f193]) ).

fof(f640,plain,
    ( sk_c1 = multiply(sk_c6,sF11)
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f451,f633]) ).

fof(f380,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f207,f147]) ).

fof(f207,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sF18,X0),
    inference(superposition,[],[f3,f74]) ).

fof(f634,plain,
    ( sF11 = multiply(sk_c6,sk_c8)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f421,f633]) ).

fof(f101,plain,
    ( sk_c7 != sF11
    | spl20_3 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f689,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f688,f661]) ).

fof(f661,plain,
    ( sk_c7 = sk_c2
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f450,f654]) ).

fof(f688,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f687,f652]) ).

fof(f687,plain,
    ( sk_c2 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f381,f674]) ).

fof(f674,plain,
    ( sk_c8 = sk_c1
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f641,f672]) ).

fof(f672,plain,
    ( sk_c8 = sk_c3
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f663,f662]) ).

fof(f663,plain,
    ( sk_c3 = sF11
    | ~ spl20_1
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f639,f654]) ).

fof(f555,plain,
    ( ~ spl20_4
    | ~ spl20_5
    | spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f554]) ).

fof(f554,plain,
    ( $false
    | ~ spl20_4
    | ~ spl20_5
    | spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f553,f551]) ).

fof(f551,plain,
    ( sk_c2 != sF14
    | ~ spl20_5
    | spl20_6
    | ~ spl20_8
    | ~ spl20_9 ),
    inference(forward_demodulation,[],[f116,f542]) ).

fof(f542,plain,
    ( sk_c5 = sk_c2
    | ~ spl20_5
    | ~ spl20_8
    | ~ spl20_9 ),
    inference(forward_demodulation,[],[f448,f450]) ).

fof(f448,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl20_5
    | ~ spl20_8 ),
    inference(superposition,[],[f420,f188]) ).

fof(f116,plain,
    ( sk_c5 != sF14
    | spl20_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f553,plain,
    ( sk_c2 = sF14
    | ~ spl20_4
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f552,f548]) ).

fof(f548,plain,
    ( multiply(sk_c3,sk_c8) = sk_c2
    | ~ spl20_4
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f537,f544]) ).

fof(f544,plain,
    ( sk_c3 = sk_c4
    | ~ spl20_4
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f447,f539]) ).

fof(f539,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f451,f536]) ).

fof(f536,plain,
    ( sk_c4 = sk_c1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f449,f451]) ).

fof(f449,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f420,f194]) ).

fof(f194,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl20_7 ),
    inference(superposition,[],[f2,f186]) ).

fof(f186,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f537,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f381,f536]) ).

fof(f552,plain,
    ( multiply(sk_c3,sk_c8) = sF14
    | ~ spl20_4
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f56,f544]) ).

fof(f419,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_15 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_15 ),
    inference(subsumption_resolution,[],[f417,f218]) ).

fof(f218,plain,
    ( ~ sP4(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f39,f217]) ).

fof(f217,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f215,f191]) ).

fof(f191,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl20_2 ),
    inference(backward_demodulation,[],[f47,f97]) ).

fof(f215,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(superposition,[],[f212,f190]) ).

fof(f190,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl20_3 ),
    inference(backward_demodulation,[],[f50,f102]) ).

fof(f417,plain,
    ( sP4(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f178,f221]) ).

fof(f221,plain,
    ( sk_c8 = sF9
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f97,f217]) ).

fof(f416,plain,
    ( ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f414,f40]) ).

fof(f40,plain,
    ~ sP5(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f414,plain,
    ( sP5(sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f413,f379]) ).

fof(f413,plain,
    ( sP5(inverse(sk_c1))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f412,f41]) ).

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

fof(f412,plain,
    ( sP6(sk_c7)
    | sP5(inverse(sk_c1))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f398,f383]) ).

fof(f398,plain,
    ( sP6(multiply(sk_c8,sk_c2))
    | sP5(inverse(sk_c1))
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(superposition,[],[f174,f381]) ).

fof(f174,plain,
    ( ! [X4] :
        ( sP6(multiply(sk_c8,multiply(X4,sk_c8)))
        | sP5(inverse(X4)) )
    | ~ spl20_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl20_14
  <=> ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(sk_c8,multiply(X4,sk_c8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).

fof(f364,plain,
    ( ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f363]) ).

fof(f363,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f362,f233]) ).

fof(f233,plain,
    ( ~ sP6(sk_c8)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f41,f230]) ).

fof(f230,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f228,f188]) ).

fof(f228,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(superposition,[],[f213,f187]) ).

fof(f187,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f213,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f203,f1]) ).

fof(f203,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl20_7 ),
    inference(superposition,[],[f3,f194]) ).

fof(f362,plain,
    ( sP6(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f361,f299]) ).

fof(f299,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f294,f238]) ).

fof(f238,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f202,f230]) ).

fof(f202,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl20_5 ),
    inference(superposition,[],[f3,f188]) ).

fof(f294,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f213,f291]) ).

fof(f291,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f258,f281]) ).

fof(f281,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(superposition,[],[f239,f212]) ).

fof(f239,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f205,f230]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3 ),
    inference(superposition,[],[f3,f190]) ).

fof(f258,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl20_4
    | ~ spl20_6 ),
    inference(superposition,[],[f206,f212]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl20_6 ),
    inference(superposition,[],[f3,f187]) ).

fof(f361,plain,
    ( sP6(multiply(sk_c8,sk_c8))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f359,f40]) ).

fof(f359,plain,
    ( sP5(sk_c8)
    | sP6(multiply(sk_c8,sk_c8))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(superposition,[],[f352,f332]) ).

fof(f332,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f60,f329]) ).

fof(f329,plain,
    ( sk_c8 = sF16
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f326,f60]) ).

fof(f326,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f189,f325]) ).

fof(f325,plain,
    ( sk_c8 = sk_c3
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f305,f310]) ).

fof(f310,plain,
    ( identity = sk_c8
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f192,f301]) ).

fof(f301,plain,
    ( ! [X0] : multiply(sF16,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f214,f299]) ).

fof(f305,plain,
    ( identity = sk_c3
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f193,f299]) ).

fof(f352,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(X4,sk_c8)) )
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f174,f299]) ).

fof(f334,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f333]) ).

fof(f333,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f331,f219]) ).

fof(f219,plain,
    ( ~ sP7(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f42,f217]) ).

fof(f331,plain,
    ( sP7(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(backward_demodulation,[],[f171,f329]) ).

fof(f253,plain,
    ( ~ spl20_12
    | ~ spl20_1 ),
    inference(avatar_split_clause,[],[f250,f91,f165]) ).

fof(f165,plain,
    ( spl20_12
  <=> sP8(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).

fof(f250,plain,
    ( ~ sP8(sk_c8)
    | ~ spl20_1 ),
    inference(backward_demodulation,[],[f88,f93]) ).

fof(f88,plain,
    ~ sP8(sF10),
    inference(definition_folding,[],[f43,f48]) ).

fof(f43,plain,
    ~ sP8(multiply(sk_c7,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f245,plain,
    ( spl20_1
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(avatar_split_clause,[],[f244,f120,f115,f110,f105,f100,f95,f91]) ).

fof(f244,plain,
    ( sk_c8 = sF10
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f241,f240]) ).

fof(f240,plain,
    ( sF10 = multiply(sk_c8,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f220,f230]) ).

fof(f220,plain,
    ( sF10 = multiply(sk_c7,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f48,f217]) ).

fof(f241,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f222,f230]) ).

fof(f222,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f191,f217]) ).

fof(f185,plain,
    ( spl20_12
    | spl20_13
    | spl20_14
    | spl20_15
    | spl20_16
    | spl20_17 ),
    inference(avatar_split_clause,[],[f89,f183,f180,f176,f173,f169,f165]) ).

fof(f89,plain,
    ! [X7,X4,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(sF9)
      | sP5(inverse(X4))
      | sP6(multiply(sk_c8,multiply(X4,sk_c8)))
      | sP7(sF16)
      | sP8(sk_c8) ),
    inference(definition_folding,[],[f46,f60,f47]) ).

fof(f46,plain,
    ! [X7,X4,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(inverse(X4))
      | sP6(multiply(sk_c8,multiply(X4,sk_c8)))
      | sP7(inverse(sk_c8))
      | sP8(sk_c8) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X3,X7,X4,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(inverse(X4))
      | multiply(X4,sk_c8) != X3
      | sP6(multiply(sk_c8,X3))
      | sP7(inverse(sk_c8))
      | sP8(sk_c8) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sP0(inverse(X7))
      | multiply(X7,sk_c8) != X6
      | sP1(multiply(sk_c8,X6))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(inverse(X4))
      | multiply(X4,sk_c8) != X3
      | sP6(multiply(sk_c8,X3))
      | sP7(inverse(sk_c8))
      | sP8(sk_c8) ),
    inference(inequality_splitting,[],[f34,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c8 != inverse(X4)
      | multiply(X4,sk_c8) != X3
      | sk_c7 != multiply(sk_c8,X3)
      | sk_c6 != inverse(sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_31) ).

fof(f163,plain,
    ( spl20_11
    | spl20_7 ),
    inference(avatar_split_clause,[],[f87,f120,f155]) ).

fof(f87,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f33,f81,f58]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_30) ).

fof(f162,plain,
    ( spl20_11
    | spl20_6 ),
    inference(avatar_split_clause,[],[f86,f115,f155]) ).

fof(f86,plain,
    ( sk_c5 = sF14
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f32,f81,f56]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_29) ).

fof(f161,plain,
    ( spl20_11
    | spl20_5 ),
    inference(avatar_split_clause,[],[f85,f110,f155]) ).

fof(f85,plain,
    ( sk_c7 = sF13
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f31,f81,f54]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_28) ).

fof(f160,plain,
    ( spl20_11
    | spl20_4 ),
    inference(avatar_split_clause,[],[f84,f105,f155]) ).

fof(f84,plain,
    ( sk_c8 = sF12
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f30,f81,f52]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_27) ).

fof(f159,plain,
    ( spl20_11
    | spl20_3 ),
    inference(avatar_split_clause,[],[f83,f100,f155]) ).

fof(f83,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f29,f81,f50]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_26) ).

fof(f158,plain,
    ( spl20_11
    | spl20_2 ),
    inference(avatar_split_clause,[],[f82,f95,f155]) ).

fof(f82,plain,
    ( sk_c6 = sF9
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f28,f81,f47]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_25) ).

fof(f153,plain,
    ( spl20_10
    | spl20_7 ),
    inference(avatar_split_clause,[],[f80,f120,f145]) ).

fof(f80,plain,
    ( sk_c8 = sF15
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f27,f74,f58]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_24) ).

fof(f152,plain,
    ( spl20_10
    | spl20_6 ),
    inference(avatar_split_clause,[],[f79,f115,f145]) ).

fof(f79,plain,
    ( sk_c5 = sF14
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f26,f74,f56]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_23) ).

fof(f151,plain,
    ( spl20_10
    | spl20_5 ),
    inference(avatar_split_clause,[],[f78,f110,f145]) ).

fof(f78,plain,
    ( sk_c7 = sF13
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f25,f74,f54]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_22) ).

fof(f150,plain,
    ( spl20_10
    | spl20_4 ),
    inference(avatar_split_clause,[],[f77,f105,f145]) ).

fof(f77,plain,
    ( sk_c8 = sF12
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f24,f74,f52]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_21) ).

fof(f149,plain,
    ( spl20_10
    | spl20_3 ),
    inference(avatar_split_clause,[],[f76,f100,f145]) ).

fof(f76,plain,
    ( sk_c7 = sF11
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f23,f74,f50]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_20) ).

fof(f148,plain,
    ( spl20_10
    | spl20_2 ),
    inference(avatar_split_clause,[],[f75,f95,f145]) ).

fof(f75,plain,
    ( sk_c6 = sF9
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f22,f74,f47]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_19) ).

fof(f143,plain,
    ( spl20_9
    | spl20_7 ),
    inference(avatar_split_clause,[],[f73,f120,f135]) ).

fof(f73,plain,
    ( sk_c8 = sF15
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f21,f67,f58]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_18) ).

fof(f142,plain,
    ( spl20_9
    | spl20_6 ),
    inference(avatar_split_clause,[],[f72,f115,f135]) ).

fof(f72,plain,
    ( sk_c5 = sF14
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f20,f67,f56]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_17) ).

fof(f141,plain,
    ( spl20_9
    | spl20_5 ),
    inference(avatar_split_clause,[],[f71,f110,f135]) ).

fof(f71,plain,
    ( sk_c7 = sF13
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f19,f67,f54]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_16) ).

fof(f140,plain,
    ( spl20_9
    | spl20_4 ),
    inference(avatar_split_clause,[],[f70,f105,f135]) ).

fof(f70,plain,
    ( sk_c8 = sF12
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f18,f67,f52]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_15) ).

fof(f139,plain,
    ( spl20_9
    | spl20_3 ),
    inference(avatar_split_clause,[],[f69,f100,f135]) ).

fof(f69,plain,
    ( sk_c7 = sF11
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f17,f67,f50]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_14) ).

fof(f138,plain,
    ( spl20_9
    | spl20_2 ),
    inference(avatar_split_clause,[],[f68,f95,f135]) ).

fof(f68,plain,
    ( sk_c6 = sF9
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f16,f67,f47]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_13) ).

fof(f133,plain,
    ( spl20_8
    | spl20_7 ),
    inference(avatar_split_clause,[],[f66,f120,f125]) ).

fof(f66,plain,
    ( sk_c8 = sF15
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f15,f60,f58]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_12) ).

fof(f132,plain,
    ( spl20_8
    | spl20_6 ),
    inference(avatar_split_clause,[],[f65,f115,f125]) ).

fof(f65,plain,
    ( sk_c5 = sF14
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f14,f60,f56]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_11) ).

fof(f131,plain,
    ( spl20_8
    | spl20_5 ),
    inference(avatar_split_clause,[],[f64,f110,f125]) ).

fof(f64,plain,
    ( sk_c7 = sF13
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f13,f60,f54]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_10) ).

fof(f130,plain,
    ( spl20_8
    | spl20_4 ),
    inference(avatar_split_clause,[],[f63,f105,f125]) ).

fof(f63,plain,
    ( sk_c8 = sF12
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f12,f60,f52]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_9) ).

fof(f129,plain,
    ( spl20_8
    | spl20_3 ),
    inference(avatar_split_clause,[],[f62,f100,f125]) ).

fof(f62,plain,
    ( sk_c7 = sF11
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f11,f60,f50]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_8) ).

fof(f128,plain,
    ( spl20_8
    | spl20_2 ),
    inference(avatar_split_clause,[],[f61,f95,f125]) ).

fof(f61,plain,
    ( sk_c6 = sF9
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f10,f60,f47]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_7) ).

fof(f123,plain,
    ( spl20_1
    | spl20_7 ),
    inference(avatar_split_clause,[],[f59,f120,f91]) ).

fof(f59,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f9,f48,f58]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_6) ).

fof(f118,plain,
    ( spl20_1
    | spl20_6 ),
    inference(avatar_split_clause,[],[f57,f115,f91]) ).

fof(f57,plain,
    ( sk_c5 = sF14
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f8,f48,f56]) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_5) ).

fof(f113,plain,
    ( spl20_1
    | spl20_5 ),
    inference(avatar_split_clause,[],[f55,f110,f91]) ).

fof(f55,plain,
    ( sk_c7 = sF13
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f7,f48,f54]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_4) ).

fof(f108,plain,
    ( spl20_1
    | spl20_4 ),
    inference(avatar_split_clause,[],[f53,f105,f91]) ).

fof(f53,plain,
    ( sk_c8 = sF12
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f6,f48,f52]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_3) ).

fof(f103,plain,
    ( spl20_1
    | spl20_3 ),
    inference(avatar_split_clause,[],[f51,f100,f91]) ).

fof(f51,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f5,f48,f50]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_2) ).

fof(f98,plain,
    ( spl20_1
    | spl20_2 ),
    inference(avatar_split_clause,[],[f49,f95,f91]) ).

fof(f49,plain,
    ( sk_c6 = sF9
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f4,f48,f47]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/tmp/tmp.MidrLb554I/Vampire---4.8_7510',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : GRP359-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % 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
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Fri May  3 20:42:08 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.08/0.28  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.MidrLb554I/Vampire---4.8_7510
% 0.43/0.62  % (7842)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)
% 0.43/0.62  % (7844)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)
% 0.43/0.62  % (7843)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)
% 0.43/0.62  % (7846)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)
% 0.43/0.62  % (7839)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)
% 0.43/0.62  % (7841)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.43/0.62  % (7846)Refutation not found, incomplete strategy% (7846)------------------------------
% 0.43/0.62  % (7846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.43/0.62  % (7846)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.62  
% 0.43/0.62  % (7846)Memory used [KB]: 989
% 0.43/0.62  % (7846)Time elapsed: 0.002 s
% 0.43/0.62  % (7846)Instructions burned: 4 (million)
% 0.43/0.62  % (7840)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)
% 0.43/0.62  % (7842)Refutation not found, incomplete strategy% (7842)------------------------------
% 0.43/0.62  % (7842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.43/0.62  % (7842)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.62  
% 0.43/0.62  % (7842)Memory used [KB]: 986
% 0.43/0.62  % (7842)Time elapsed: 0.002 s
% 0.43/0.62  % (7842)Instructions burned: 4 (million)
% 0.43/0.62  % (7843)Refutation not found, incomplete strategy% (7843)------------------------------
% 0.43/0.62  % (7843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.43/0.62  % (7846)------------------------------
% 0.43/0.62  % (7846)------------------------------
% 0.43/0.62  % (7843)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.62  
% 0.43/0.62  % (7843)Memory used [KB]: 1003
% 0.43/0.62  % (7843)Time elapsed: 0.002 s
% 0.43/0.62  % (7845)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)
% 0.43/0.62  % (7843)Instructions burned: 4 (million)
% 0.43/0.62  % (7842)------------------------------
% 0.43/0.62  % (7842)------------------------------
% 0.43/0.62  % (7843)------------------------------
% 0.43/0.62  % (7843)------------------------------
% 0.43/0.62  % (7839)Refutation not found, incomplete strategy% (7839)------------------------------
% 0.43/0.62  % (7839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.43/0.62  % (7839)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.62  
% 0.43/0.62  % (7839)Memory used [KB]: 1004
% 0.43/0.62  % (7839)Time elapsed: 0.003 s
% 0.43/0.62  % (7839)Instructions burned: 4 (million)
% 0.43/0.62  % (7839)------------------------------
% 0.43/0.62  % (7839)------------------------------
% 0.43/0.62  % (7841)Refutation not found, incomplete strategy% (7841)------------------------------
% 0.43/0.62  % (7841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.43/0.62  % (7841)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.62  
% 0.43/0.62  % (7841)Memory used [KB]: 1066
% 0.43/0.62  % (7841)Time elapsed: 0.004 s
% 0.43/0.62  % (7841)Instructions burned: 6 (million)
% 0.43/0.62  % (7841)------------------------------
% 0.43/0.62  % (7841)------------------------------
% 0.43/0.62  % (7848)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)
% 0.43/0.62  % (7849)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)
% 0.43/0.62  % (7850)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)
% 0.43/0.62  % (7851)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)
% 0.43/0.62  % (7849)Refutation not found, incomplete strategy% (7849)------------------------------
% 0.43/0.62  % (7849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.43/0.62  % (7849)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.62  
% 0.43/0.62  % (7849)Memory used [KB]: 993
% 0.43/0.62  % (7849)Time elapsed: 0.002 s
% 0.43/0.62  % (7849)Instructions burned: 5 (million)
% 0.48/0.62  % (7849)------------------------------
% 0.48/0.62  % (7849)------------------------------
% 0.48/0.62  % (7848)Refutation not found, incomplete strategy% (7848)------------------------------
% 0.48/0.62  % (7848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.62  % (7848)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.62  
% 0.48/0.62  % (7848)Memory used [KB]: 1077
% 0.48/0.62  % (7848)Time elapsed: 0.003 s
% 0.48/0.62  % (7848)Instructions burned: 7 (million)
% 0.48/0.62  % (7848)------------------------------
% 0.48/0.62  % (7848)------------------------------
% 0.48/0.62  % (7853)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)
% 0.48/0.62  % (7851)Refutation not found, incomplete strategy% (7851)------------------------------
% 0.48/0.62  % (7851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.62  % (7851)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.62  
% 0.48/0.62  % (7851)Memory used [KB]: 1067
% 0.48/0.62  % (7851)Time elapsed: 0.004 s
% 0.48/0.62  % (7851)Instructions burned: 6 (million)
% 0.48/0.62  % (7855)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)
% 0.48/0.62  % (7851)------------------------------
% 0.48/0.62  % (7851)------------------------------
% 0.48/0.62  % (7856)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)
% 0.48/0.62  % (7855)Refutation not found, incomplete strategy% (7855)------------------------------
% 0.48/0.62  % (7855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.62  % (7855)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.62  
% 0.48/0.62  % (7855)Memory used [KB]: 1004
% 0.48/0.62  % (7855)Time elapsed: 0.002 s
% 0.48/0.62  % (7855)Instructions burned: 4 (million)
% 0.48/0.63  % (7855)------------------------------
% 0.48/0.63  % (7855)------------------------------
% 0.48/0.63  % (7858)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)
% 0.49/0.63  % (7859)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)
% 0.49/0.63  % (7858)Refutation not found, incomplete strategy% (7858)------------------------------
% 0.49/0.63  % (7858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7850)Refutation not found, incomplete strategy% (7850)------------------------------
% 0.49/0.63  % (7850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7850)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7850)Memory used [KB]: 1197
% 0.49/0.63  % (7850)Time elapsed: 0.009 s
% 0.49/0.63  % (7850)Instructions burned: 20 (million)
% 0.49/0.63  % (7858)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7858)Memory used [KB]: 990
% 0.49/0.63  % (7858)Time elapsed: 0.002 s
% 0.49/0.63  % (7858)Instructions burned: 4 (million)
% 0.49/0.63  % (7850)------------------------------
% 0.49/0.63  % (7850)------------------------------
% 0.49/0.63  % (7858)------------------------------
% 0.49/0.63  % (7858)------------------------------
% 0.49/0.63  % (7859)Refutation not found, incomplete strategy% (7859)------------------------------
% 0.49/0.63  % (7859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7859)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7859)Memory used [KB]: 1006
% 0.49/0.63  % (7859)Time elapsed: 0.002 s
% 0.49/0.63  % (7859)Instructions burned: 4 (million)
% 0.49/0.63  % (7844)Instruction limit reached!
% 0.49/0.63  % (7844)------------------------------
% 0.49/0.63  % (7844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7844)Termination reason: Unknown
% 0.49/0.63  % (7844)Termination phase: Saturation
% 0.49/0.63  
% 0.49/0.63  % (7844)Memory used [KB]: 1641
% 0.49/0.63  % (7844)Time elapsed: 0.015 s
% 0.49/0.63  % (7844)Instructions burned: 48 (million)
% 0.49/0.63  % (7844)------------------------------
% 0.49/0.63  % (7844)------------------------------
% 0.49/0.63  % (7859)------------------------------
% 0.49/0.63  % (7859)------------------------------
% 0.49/0.63  % (7856)Refutation not found, incomplete strategy% (7856)------------------------------
% 0.49/0.63  % (7856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7856)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7856)Memory used [KB]: 1113
% 0.49/0.63  % (7856)Time elapsed: 0.007 s
% 0.49/0.63  % (7856)Instructions burned: 18 (million)
% 0.49/0.63  % (7856)------------------------------
% 0.49/0.63  % (7856)------------------------------
% 0.49/0.63  % (7860)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)
% 0.49/0.63  % (7863)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)
% 0.49/0.63  % (7861)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)
% 0.49/0.63  % (7864)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)
% 0.49/0.63  % (7861)Refutation not found, incomplete strategy% (7861)------------------------------
% 0.49/0.63  % (7861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7861)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7861)Memory used [KB]: 990
% 0.49/0.63  % (7861)Time elapsed: 0.003 s
% 0.49/0.63  % (7861)Instructions burned: 3 (million)
% 0.49/0.63  % (7861)------------------------------
% 0.49/0.63  % (7861)------------------------------
% 0.49/0.63  % (7863)Refutation not found, incomplete strategy% (7863)------------------------------
% 0.49/0.63  % (7863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7863)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7863)Memory used [KB]: 1067
% 0.49/0.63  % (7863)Time elapsed: 0.003 s
% 0.49/0.63  % (7863)Instructions burned: 7 (million)
% 0.49/0.63  % (7863)------------------------------
% 0.49/0.63  % (7863)------------------------------
% 0.49/0.63  % (7862)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)
% 0.49/0.63  % (7864)Refutation not found, incomplete strategy% (7864)------------------------------
% 0.49/0.63  % (7864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.63  % (7864)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.63  
% 0.49/0.63  % (7864)Memory used [KB]: 1012
% 0.49/0.63  % (7864)Time elapsed: 0.002 s
% 0.49/0.63  % (7864)Instructions burned: 5 (million)
% 0.49/0.63  % (7864)------------------------------
% 0.49/0.63  % (7864)------------------------------
% 0.49/0.64  % (7865)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)
% 0.49/0.64  % (7866)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)
% 0.49/0.64  % (7868)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)
% 0.49/0.64  % (7866)Refutation not found, incomplete strategy% (7866)------------------------------
% 0.49/0.64  % (7866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.64  % (7866)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.64  
% 0.49/0.64  % (7866)Memory used [KB]: 993
% 0.49/0.64  % (7866)Time elapsed: 0.002 s
% 0.49/0.64  % (7866)Instructions burned: 3 (million)
% 0.49/0.64  % (7866)------------------------------
% 0.49/0.64  % (7866)------------------------------
% 0.49/0.64  % (7868)Refutation not found, incomplete strategy% (7868)------------------------------
% 0.49/0.64  % (7868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.64  % (7868)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.64  
% 0.49/0.64  % (7868)Memory used [KB]: 1076
% 0.49/0.64  % (7868)Time elapsed: 0.003 s
% 0.49/0.64  % (7868)Instructions burned: 8 (million)
% 0.49/0.64  % (7869)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)
% 0.49/0.64  % (7868)------------------------------
% 0.49/0.64  % (7868)------------------------------
% 0.49/0.64  % (7840)Instruction limit reached!
% 0.49/0.64  % (7840)------------------------------
% 0.49/0.64  % (7840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.64  % (7840)Termination reason: Unknown
% 0.49/0.64  % (7840)Termination phase: Saturation
% 0.49/0.64  
% 0.49/0.64  % (7840)Memory used [KB]: 1660
% 0.49/0.64  % (7840)Time elapsed: 0.026 s
% 0.49/0.64  % (7840)Instructions burned: 52 (million)
% 0.49/0.64  % (7840)------------------------------
% 0.49/0.64  % (7840)------------------------------
% 0.49/0.64  % (7872)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)
% 0.49/0.64  % (7862)Instruction limit reached!
% 0.49/0.64  % (7862)------------------------------
% 0.49/0.64  % (7862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.64  % (7862)Termination reason: Unknown
% 0.49/0.64  % (7862)Termination phase: Saturation
% 0.49/0.64  
% 0.49/0.64  % (7862)Memory used [KB]: 1449
% 0.49/0.64  % (7862)Time elapsed: 0.011 s
% 0.49/0.64  % (7862)Instructions burned: 34 (million)
% 0.49/0.64  % (7862)------------------------------
% 0.49/0.64  % (7862)------------------------------
% 0.49/0.64  % (7874)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)
% 0.49/0.65  % (7877)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)
% 0.49/0.65  % (7877)Refutation not found, incomplete strategy% (7877)------------------------------
% 0.49/0.65  % (7877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65  % (7877)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65  
% 0.49/0.65  % (7877)Memory used [KB]: 985
% 0.49/0.65  % (7877)Time elapsed: 0.002 s
% 0.49/0.65  % (7877)Instructions burned: 4 (million)
% 0.49/0.65  % (7877)------------------------------
% 0.49/0.65  % (7877)------------------------------
% 0.49/0.65  % (7869)Instruction limit reached!
% 0.49/0.65  % (7869)------------------------------
% 0.49/0.65  % (7869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65  % (7869)Termination reason: Unknown
% 0.49/0.65  % (7869)Termination phase: Saturation
% 0.49/0.65  
% 0.49/0.65  % (7869)Memory used [KB]: 1174
% 0.49/0.65  % (7869)Time elapsed: 0.011 s
% 0.49/0.65  % (7869)Instructions burned: 35 (million)
% 0.49/0.65  % (7869)------------------------------
% 0.49/0.65  % (7869)------------------------------
% 0.49/0.65  % (7880)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 (2996ds/69Mi)
% 0.49/0.65  % (7865)Instruction limit reached!
% 0.49/0.65  % (7865)------------------------------
% 0.49/0.65  % (7865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65  % (7865)Termination reason: Unknown
% 0.49/0.65  % (7865)Termination phase: Saturation
% 0.49/0.65  
% 0.49/0.65  % (7865)Memory used [KB]: 1178
% 0.49/0.65  % (7865)Time elapsed: 0.016 s
% 0.49/0.65  % (7865)Instructions burned: 54 (million)
% 0.49/0.65  % (7865)------------------------------
% 0.49/0.65  % (7865)------------------------------
% 0.49/0.65  % (7880)Refutation not found, incomplete strategy% (7880)------------------------------
% 0.49/0.65  % (7880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65  % (7880)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.65  
% 0.49/0.65  % (7880)Memory used [KB]: 1075
% 0.49/0.65  % (7880)Time elapsed: 0.002 s
% 0.49/0.65  % (7880)Instructions burned: 5 (million)
% 0.49/0.65  % (7880)------------------------------
% 0.49/0.65  % (7880)------------------------------
% 0.49/0.65  % (7881)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 (2996ds/40Mi)
% 0.49/0.65  % (7882)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 (2996ds/360Mi)
% 0.49/0.65  % (7845)Instruction limit reached!
% 0.49/0.65  % (7845)------------------------------
% 0.49/0.65  % (7845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.65  % (7845)Termination reason: Unknown
% 0.49/0.65  % (7845)Termination phase: Saturation
% 0.49/0.65  
% 0.49/0.65  % (7845)Memory used [KB]: 1996
% 0.49/0.65  % (7845)Time elapsed: 0.039 s
% 0.49/0.65  % (7845)Instructions burned: 84 (million)
% 0.49/0.65  % (7845)------------------------------
% 0.49/0.65  % (7845)------------------------------
% 0.49/0.65  % (7883)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 (2996ds/161Mi)
% 0.49/0.66  % (7884)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 (2996ds/80Mi)
% 0.49/0.66  % (7881)Refutation not found, incomplete strategy% (7881)------------------------------
% 0.49/0.66  % (7881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.66  % (7881)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.66  
% 0.49/0.66  % (7881)Memory used [KB]: 1267
% 0.49/0.66  % (7881)Time elapsed: 0.031 s
% 0.49/0.66  % (7881)Instructions burned: 22 (million)
% 0.49/0.66  % (7881)------------------------------
% 0.49/0.66  % (7881)------------------------------
% 0.49/0.66  % (7890)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 (2996ds/37Mi)
% 0.49/0.66  % (7860)Instruction limit reached!
% 0.49/0.66  % (7860)------------------------------
% 0.49/0.66  % (7860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.66  % (7860)Termination reason: Unknown
% 0.49/0.66  % (7860)Termination phase: Saturation
% 0.49/0.66  
% 0.49/0.66  % (7860)Memory used [KB]: 2024
% 0.49/0.66  % (7860)Time elapsed: 0.034 s
% 0.49/0.66  % (7860)Instructions burned: 95 (million)
% 0.49/0.66  % (7860)------------------------------
% 0.49/0.66  % (7860)------------------------------
% 0.49/0.66  % (7872)Instruction limit reached!
% 0.49/0.66  % (7872)------------------------------
% 0.49/0.66  % (7872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.66  % (7872)Termination reason: Unknown
% 0.49/0.66  % (7872)Termination phase: Saturation
% 0.49/0.66  
% 0.49/0.66  % (7872)Memory used [KB]: 1392
% 0.49/0.66  % (7872)Time elapsed: 0.023 s
% 0.49/0.66  % (7872)Instructions burned: 90 (million)
% 0.49/0.66  % (7872)------------------------------
% 0.49/0.66  % (7872)------------------------------
% 0.49/0.67  % (7892)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 (2996ds/55Mi)
% 0.49/0.67  % (7893)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 (2996ds/47Mi)
% 0.49/0.67  % (7882)First to succeed.
% 0.49/0.67  % (7882)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7670"
% 0.49/0.67  % (7882)Refutation found. Thanks to Tanya!
% 0.49/0.67  % SZS status Unsatisfiable for Vampire---4
% 0.49/0.67  % SZS output start Proof for Vampire---4
% See solution above
% 0.49/0.67  % (7882)------------------------------
% 0.49/0.67  % (7882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67  % (7882)Termination reason: Refutation
% 0.49/0.67  
% 0.49/0.67  % (7882)Memory used [KB]: 1244
% 0.49/0.67  % (7882)Time elapsed: 0.041 s
% 0.49/0.67  % (7882)Instructions burned: 51 (million)
% 0.49/0.67  % (7670)Success in time 0.369 s
% 0.49/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------