TSTP Solution File: GRP336-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP336-1 : 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 : n010.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 05:47:25 EDT 2024

% Result   : Unsatisfiable 0.68s 0.81s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   91
% Syntax   : Number of formulae    :  382 (  40 unt;   0 def)
%            Number of atoms       : 1262 ( 301 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives : 1580 ( 700   ~; 855   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   39 (  37 usr;  26 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  25 con; 0-2 aty)
%            Number of variables   :   74 (  74   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1221,plain,
    $false,
    inference(avatar_sat_refutation,[],[f140,f145,f150,f155,f160,f165,f170,f175,f180,f181,f182,f183,f184,f192,f193,f194,f195,f196,f204,f205,f206,f207,f208,f216,f217,f218,f219,f220,f221,f222,f223,f228,f229,f230,f231,f232,f259,f454,f486,f531,f550,f567,f589,f598,f623,f642,f645,f647,f671,f695,f702,f734,f738,f744,f913,f1029,f1197,f1199,f1219]) ).

fof(f1219,plain,
    ( spl26_4
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(avatar_split_clause,[],[f1218,f225,f213,f201,f189,f177,f133,f147]) ).

fof(f147,plain,
    ( spl26_4
  <=> sk_c9 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).

fof(f133,plain,
    ( spl26_1
  <=> sk_c8 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).

fof(f177,plain,
    ( spl26_10
  <=> sk_c10 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).

fof(f189,plain,
    ( spl26_11
  <=> sk_c10 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).

fof(f201,plain,
    ( spl26_12
  <=> sk_c9 = sF23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).

fof(f213,plain,
    ( spl26_13
  <=> sk_c3 = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).

fof(f225,plain,
    ( spl26_14
  <=> sk_c9 = sF25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).

fof(f1218,plain,
    ( sk_c9 = sF15
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f1217,f788]) ).

fof(f788,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl26_10
    | ~ spl26_11 ),
    inference(superposition,[],[f634,f633]) ).

fof(f633,plain,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | ~ spl26_11 ),
    inference(backward_demodulation,[],[f94,f191]) ).

fof(f191,plain,
    ( sk_c10 = sF22
    | ~ spl26_11 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f94,plain,
    multiply(sk_c1,sk_c9) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f634,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f296,f179]) ).

fof(f179,plain,
    ( sk_c10 = sF21
    | ~ spl26_10 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f296,plain,
    ! [X0] : multiply(sF21,multiply(sk_c1,X0)) = X0,
    inference(forward_demodulation,[],[f288,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',left_identity) ).

fof(f288,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF21,multiply(sk_c1,X0)),
    inference(superposition,[],[f3,f271]) ).

fof(f271,plain,
    identity = multiply(sF21,sk_c1),
    inference(superposition,[],[f2,f85]) ).

fof(f85,plain,
    inverse(sk_c1) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',associativity) ).

fof(f1217,plain,
    ( sF15 = multiply(sk_c10,sk_c10)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f73,f1116]) ).

fof(f1116,plain,
    ( sk_c10 = sk_c8
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f932,f1115]) ).

fof(f1115,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f971,f633]) ).

fof(f971,plain,
    ( multiply(sk_c1,sk_c9) = multiply(sk_c10,sk_c9)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(superposition,[],[f632,f898]) ).

fof(f898,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f888,f821]) ).

fof(f821,plain,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f626,f818]) ).

fof(f818,plain,
    ( sk_c8 = sk_c3
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f817,f637]) ).

fof(f637,plain,
    ( multiply(sk_c9,sk_c10) = sk_c8
    | ~ spl26_1 ),
    inference(backward_demodulation,[],[f69,f135]) ).

fof(f135,plain,
    ( sk_c8 = sF13
    | ~ spl26_1 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f69,plain,
    multiply(sk_c9,sk_c10) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f817,plain,
    ( multiply(sk_c9,sk_c10) = sk_c3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f807,f784]) ).

fof(f784,plain,
    ( sk_c3 = multiply(sk_c3,sk_c9)
    | ~ spl26_12
    | ~ spl26_13 ),
    inference(superposition,[],[f627,f631]) ).

fof(f631,plain,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | ~ spl26_12 ),
    inference(backward_demodulation,[],[f103,f203]) ).

fof(f203,plain,
    ( sk_c9 = sF23
    | ~ spl26_12 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f103,plain,
    multiply(sk_c2,sk_c3) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f627,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl26_13 ),
    inference(backward_demodulation,[],[f297,f215]) ).

fof(f215,plain,
    ( sk_c3 = sF24
    | ~ spl26_13 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f297,plain,
    ! [X0] : multiply(sF24,multiply(sk_c2,X0)) = X0,
    inference(forward_demodulation,[],[f289,f1]) ).

fof(f289,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF24,multiply(sk_c2,X0)),
    inference(superposition,[],[f3,f272]) ).

fof(f272,plain,
    identity = multiply(sF24,sk_c2),
    inference(superposition,[],[f2,f112]) ).

fof(f112,plain,
    inverse(sk_c2) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f807,plain,
    ( multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9)
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_14 ),
    inference(superposition,[],[f625,f788]) ).

fof(f625,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c10,X0))
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f287,f227]) ).

fof(f227,plain,
    ( sk_c9 = sF25
    | ~ spl26_14 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f287,plain,
    ! [X0] : multiply(sk_c3,multiply(sk_c10,X0)) = multiply(sF25,X0),
    inference(superposition,[],[f3,f121]) ).

fof(f121,plain,
    multiply(sk_c3,sk_c10) = sF25,
    introduced(function_definition,[new_symbols(definition,[sF25])]) ).

fof(f626,plain,
    ( sk_c9 = multiply(sk_c3,sk_c10)
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f121,f227]) ).

fof(f888,plain,
    ( multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c10)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11 ),
    inference(superposition,[],[f639,f788]) ).

fof(f639,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sk_c8,X0)
    | ~ spl26_1 ),
    inference(backward_demodulation,[],[f276,f135]) ).

fof(f276,plain,
    ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sF13,X0),
    inference(superposition,[],[f3,f69]) ).

fof(f632,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c9,X0))
    | ~ spl26_11 ),
    inference(backward_demodulation,[],[f285,f191]) ).

fof(f285,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sF22,X0),
    inference(superposition,[],[f3,f94]) ).

fof(f932,plain,
    ( sk_c8 = multiply(sk_c10,sk_c9)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11 ),
    inference(superposition,[],[f634,f879]) ).

fof(f879,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11 ),
    inference(forward_demodulation,[],[f875,f788]) ).

fof(f875,plain,
    ( multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c8)
    | ~ spl26_1
    | ~ spl26_11 ),
    inference(superposition,[],[f632,f637]) ).

fof(f73,plain,
    multiply(sk_c10,sk_c8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f1199,plain,
    ( ~ spl26_1
    | ~ spl26_3
    | ~ spl26_5
    | spl26_6
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(avatar_contradiction_clause,[],[f1198]) ).

fof(f1198,plain,
    ( $false
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_5
    | spl26_6
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(subsumption_resolution,[],[f1167,f158]) ).

fof(f158,plain,
    ( sk_c10 != sF17
    | spl26_6 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl26_6
  <=> sk_c10 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).

fof(f1167,plain,
    ( sk_c10 = sF17
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f1138,f1151]) ).

fof(f1151,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f1140,f293]) ).

fof(f293,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl26_3 ),
    inference(forward_demodulation,[],[f278,f1]) ).

fof(f278,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl26_3 ),
    inference(superposition,[],[f3,f268]) ).

fof(f268,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl26_3 ),
    inference(superposition,[],[f2,f266]) ).

fof(f266,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl26_3 ),
    inference(backward_demodulation,[],[f71,f144]) ).

fof(f144,plain,
    ( sk_c10 = sF14
    | ~ spl26_3 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl26_3
  <=> sk_c10 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).

fof(f71,plain,
    inverse(sk_c4) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f1140,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f884,f1116]) ).

fof(f884,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl26_1
    | ~ spl26_3 ),
    inference(superposition,[],[f639,f293]) ).

fof(f1138,plain,
    ( sk_c10 = multiply(sk_c9,sF17)
    | ~ spl26_1
    | ~ spl26_5
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f847,f1116]) ).

fof(f847,plain,
    ( sk_c8 = multiply(sk_c9,sF17)
    | ~ spl26_1
    | ~ spl26_5
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f846,f829]) ).

fof(f829,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f784,f818]) ).

fof(f846,plain,
    ( multiply(sk_c9,sF17) = multiply(sk_c8,sk_c9)
    | ~ spl26_1
    | ~ spl26_5
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f813,f818]) ).

fof(f813,plain,
    ( multiply(sk_c3,sk_c9) = multiply(sk_c9,sF17)
    | ~ spl26_5
    | ~ spl26_14 ),
    inference(superposition,[],[f625,f781]) ).

fof(f781,plain,
    ( sk_c9 = multiply(sk_c10,sF17)
    | ~ spl26_5 ),
    inference(superposition,[],[f294,f77]) ).

fof(f77,plain,
    multiply(sk_c5,sk_c9) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f294,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
    | ~ spl26_5 ),
    inference(forward_demodulation,[],[f279,f1]) ).

fof(f279,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
    | ~ spl26_5 ),
    inference(superposition,[],[f3,f269]) ).

fof(f269,plain,
    ( identity = multiply(sk_c10,sk_c5)
    | ~ spl26_5 ),
    inference(superposition,[],[f2,f264]) ).

fof(f264,plain,
    ( sk_c10 = inverse(sk_c5)
    | ~ spl26_5 ),
    inference(backward_demodulation,[],[f75,f154]) ).

fof(f154,plain,
    ( sk_c10 = sF16
    | ~ spl26_5 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl26_5
  <=> sk_c10 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).

fof(f75,plain,
    inverse(sk_c5) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f1197,plain,
    ( ~ spl26_1
    | spl26_2
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | ~ spl26_1
    | spl26_2
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(subsumption_resolution,[],[f1166,f138]) ).

fof(f138,plain,
    ( sk_c9 != sF12
    | spl26_2 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl26_2
  <=> sk_c9 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).

fof(f1166,plain,
    ( sk_c9 = sF12
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f845,f1151]) ).

fof(f845,plain,
    ( sk_c9 = multiply(sk_c9,sF12)
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f844,f821]) ).

fof(f844,plain,
    ( multiply(sk_c9,sF12) = multiply(sk_c8,sk_c10)
    | ~ spl26_1
    | ~ spl26_3
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f812,f818]) ).

fof(f812,plain,
    ( multiply(sk_c3,sk_c10) = multiply(sk_c9,sF12)
    | ~ spl26_3
    | ~ spl26_14 ),
    inference(superposition,[],[f625,f773]) ).

fof(f773,plain,
    ( sk_c10 = multiply(sk_c10,sF12)
    | ~ spl26_3 ),
    inference(superposition,[],[f293,f68]) ).

fof(f68,plain,
    multiply(sk_c4,sk_c10) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f1029,plain,
    ( ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_18 ),
    inference(avatar_contradiction_clause,[],[f1028]) ).

fof(f1028,plain,
    ( $false
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f1027,f59]) ).

fof(f59,plain,
    ~ sP6(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f1027,plain,
    ( sP6(sk_c9)
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_18 ),
    inference(backward_demodulation,[],[f928,f1004]) ).

fof(f1004,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(backward_demodulation,[],[f879,f974]) ).

fof(f974,plain,
    ( sk_c10 = sk_c8
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f973,f633]) ).

fof(f973,plain,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f971,f857]) ).

fof(f857,plain,
    ( sk_c8 = multiply(sk_c10,sk_c9)
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(forward_demodulation,[],[f854,f637]) ).

fof(f854,plain,
    ( multiply(sk_c9,sk_c10) = multiply(sk_c10,sk_c9)
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14 ),
    inference(superposition,[],[f277,f821]) ).

fof(f277,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
    | ~ spl26_4 ),
    inference(superposition,[],[f3,f265]) ).

fof(f265,plain,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | ~ spl26_4 ),
    inference(backward_demodulation,[],[f73,f149]) ).

fof(f149,plain,
    ( sk_c9 = sF15
    | ~ spl26_4 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f928,plain,
    ( sP6(multiply(sk_c1,sk_c10))
    | ~ spl26_10
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f918,f58]) ).

fof(f58,plain,
    ~ sP5(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f918,plain,
    ( sP5(sk_c10)
    | sP6(multiply(sk_c1,sk_c10))
    | ~ spl26_10
    | ~ spl26_18 ),
    inference(superposition,[],[f248,f636]) ).

fof(f636,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f85,f179]) ).

fof(f248,plain,
    ( ! [X6] :
        ( sP5(inverse(X6))
        | sP6(multiply(X6,sk_c10)) )
    | ~ spl26_18 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl26_18
  <=> ! [X6] :
        ( sP5(inverse(X6))
        | sP6(multiply(X6,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).

fof(f913,plain,
    ( ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_21 ),
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f909,f53]) ).

fof(f53,plain,
    ~ sP0(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f909,plain,
    ( sP0(sk_c9)
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_21 ),
    inference(backward_demodulation,[],[f908,f898]) ).

fof(f908,plain,
    ( sP0(multiply(sk_c9,sk_c9))
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_21 ),
    inference(backward_demodulation,[],[f828,f889]) ).

fof(f889,plain,
    ( multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c8)
    | ~ spl26_1
    | ~ spl26_4 ),
    inference(superposition,[],[f639,f265]) ).

fof(f828,plain,
    ( sP0(multiply(sk_c8,sk_c8))
    | ~ spl26_1
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_21 ),
    inference(backward_demodulation,[],[f760,f818]) ).

fof(f760,plain,
    ( sP0(multiply(sk_c3,sk_c8))
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f759,f54]) ).

fof(f54,plain,
    ~ sP1(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f759,plain,
    ( sP1(sk_c9)
    | sP0(multiply(sk_c3,sk_c8))
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_21 ),
    inference(forward_demodulation,[],[f750,f631]) ).

fof(f750,plain,
    ( sP0(multiply(sk_c3,sk_c8))
    | sP1(multiply(sk_c2,sk_c3))
    | ~ spl26_13
    | ~ spl26_21 ),
    inference(superposition,[],[f258,f629]) ).

fof(f629,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl26_13 ),
    inference(backward_demodulation,[],[f112,f215]) ).

fof(f258,plain,
    ( ! [X8] :
        ( sP0(multiply(inverse(X8),sk_c8))
        | sP1(multiply(X8,inverse(X8))) )
    | ~ spl26_21 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl26_21
  <=> ! [X8] :
        ( sP0(multiply(inverse(X8),sk_c8))
        | sP1(multiply(X8,inverse(X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).

fof(f744,plain,
    ( ~ spl26_12
    | ~ spl26_13
    | ~ spl26_28 ),
    inference(avatar_contradiction_clause,[],[f743]) ).

fof(f743,plain,
    ( $false
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_28 ),
    inference(subsumption_resolution,[],[f742,f61]) ).

fof(f61,plain,
    ~ sP8(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f742,plain,
    ( sP8(sk_c9)
    | ~ spl26_12
    | ~ spl26_13
    | ~ spl26_28 ),
    inference(forward_demodulation,[],[f741,f631]) ).

fof(f741,plain,
    ( sP8(multiply(sk_c2,sk_c3))
    | ~ spl26_13
    | ~ spl26_28 ),
    inference(forward_demodulation,[],[f545,f215]) ).

fof(f545,plain,
    ( sP8(multiply(sk_c2,sF24))
    | ~ spl26_28 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl26_28
  <=> sP8(multiply(sk_c2,sF24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).

fof(f738,plain,
    ( ~ spl26_13
    | ~ spl26_14
    | ~ spl26_29 ),
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f737,plain,
    ( $false
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_29 ),
    inference(subsumption_resolution,[],[f736,f60]) ).

fof(f60,plain,
    ~ sP7(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f736,plain,
    ( sP7(sk_c9)
    | ~ spl26_13
    | ~ spl26_14
    | ~ spl26_29 ),
    inference(forward_demodulation,[],[f735,f626]) ).

fof(f735,plain,
    ( sP7(multiply(sk_c3,sk_c10))
    | ~ spl26_13
    | ~ spl26_29 ),
    inference(forward_demodulation,[],[f549,f215]) ).

fof(f549,plain,
    ( sP7(multiply(sF24,sk_c10))
    | ~ spl26_29 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl26_29
  <=> sP7(multiply(sF24,sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).

fof(f734,plain,
    ( ~ spl26_10
    | ~ spl26_11
    | ~ spl26_16 ),
    inference(avatar_contradiction_clause,[],[f733]) ).

fof(f733,plain,
    ( $false
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_16 ),
    inference(subsumption_resolution,[],[f732,f62]) ).

fof(f62,plain,
    ~ sP9(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f732,plain,
    ( sP9(sk_c10)
    | ~ spl26_10
    | ~ spl26_11
    | ~ spl26_16 ),
    inference(forward_demodulation,[],[f731,f633]) ).

fof(f731,plain,
    ( sP9(multiply(sk_c1,sk_c9))
    | ~ spl26_10
    | ~ spl26_16 ),
    inference(subsumption_resolution,[],[f724,f63]) ).

fof(f63,plain,
    ~ sP10(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).

fof(f724,plain,
    ( sP10(sk_c10)
    | sP9(multiply(sk_c1,sk_c9))
    | ~ spl26_10
    | ~ spl26_16 ),
    inference(superposition,[],[f242,f636]) ).

fof(f242,plain,
    ( ! [X3] :
        ( sP10(inverse(X3))
        | sP9(multiply(X3,sk_c9)) )
    | ~ spl26_16 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl26_16
  <=> ! [X3] :
        ( sP9(multiply(X3,sk_c9))
        | sP10(inverse(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).

fof(f702,plain,
    ( ~ spl26_7
    | ~ spl26_8
    | ~ spl26_9
    | ~ spl26_21 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f701,plain,
    ( $false
    | ~ spl26_7
    | ~ spl26_8
    | ~ spl26_9
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f700,f54]) ).

fof(f700,plain,
    ( sP1(sk_c9)
    | ~ spl26_7
    | ~ spl26_8
    | ~ spl26_9
    | ~ spl26_21 ),
    inference(forward_demodulation,[],[f699,f262]) ).

fof(f262,plain,
    ( sk_c9 = multiply(sk_c6,sk_c7)
    | ~ spl26_7 ),
    inference(backward_demodulation,[],[f79,f164]) ).

fof(f164,plain,
    ( sk_c9 = sF18
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl26_7
  <=> sk_c9 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f79,plain,
    multiply(sk_c6,sk_c7) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f699,plain,
    ( sP1(multiply(sk_c6,sk_c7))
    | ~ spl26_8
    | ~ spl26_9
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f698,f53]) ).

fof(f698,plain,
    ( sP0(sk_c9)
    | sP1(multiply(sk_c6,sk_c7))
    | ~ spl26_8
    | ~ spl26_9
    | ~ spl26_21 ),
    inference(forward_demodulation,[],[f687,f260]) ).

fof(f260,plain,
    ( sk_c9 = multiply(sk_c7,sk_c8)
    | ~ spl26_9 ),
    inference(backward_demodulation,[],[f83,f174]) ).

fof(f174,plain,
    ( sk_c9 = sF20
    | ~ spl26_9 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl26_9
  <=> sk_c9 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).

fof(f83,plain,
    multiply(sk_c7,sk_c8) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f687,plain,
    ( sP0(multiply(sk_c7,sk_c8))
    | sP1(multiply(sk_c6,sk_c7))
    | ~ spl26_8
    | ~ spl26_21 ),
    inference(superposition,[],[f258,f261]) ).

fof(f261,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl26_8 ),
    inference(backward_demodulation,[],[f81,f169]) ).

fof(f169,plain,
    ( sk_c7 = sF19
    | ~ spl26_8 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl26_8
  <=> sk_c7 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).

fof(f81,plain,
    inverse(sk_c6) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f695,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_21 ),
    inference(avatar_contradiction_clause,[],[f694]) ).

fof(f694,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f693,f54]) ).

fof(f693,plain,
    ( sP1(sk_c9)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_21 ),
    inference(forward_demodulation,[],[f692,f267]) ).

fof(f267,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl26_2 ),
    inference(backward_demodulation,[],[f68,f139]) ).

fof(f139,plain,
    ( sk_c9 = sF12
    | ~ spl26_2 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f692,plain,
    ( sP1(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f691,f53]) ).

fof(f691,plain,
    ( sP0(sk_c9)
    | sP1(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_21 ),
    inference(forward_demodulation,[],[f685,f265]) ).

fof(f685,plain,
    ( sP0(multiply(sk_c10,sk_c8))
    | sP1(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_21 ),
    inference(superposition,[],[f258,f266]) ).

fof(f671,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(avatar_contradiction_clause,[],[f670]) ).

fof(f670,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f669,f59]) ).

fof(f669,plain,
    ( sP6(sk_c9)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(forward_demodulation,[],[f668,f267]) ).

fof(f668,plain,
    ( sP6(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f663,f58]) ).

fof(f663,plain,
    ( sP5(sk_c10)
    | sP6(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(superposition,[],[f248,f266]) ).

fof(f647,plain,
    ( ~ spl26_15
    | ~ spl26_1 ),
    inference(avatar_split_clause,[],[f638,f133,f237]) ).

fof(f237,plain,
    ( spl26_15
  <=> sP11(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).

fof(f638,plain,
    ( ~ sP11(sk_c8)
    | ~ spl26_1 ),
    inference(backward_demodulation,[],[f130,f135]) ).

fof(f130,plain,
    ~ sP11(sF13),
    inference(definition_folding,[],[f64,f69]) ).

fof(f64,plain,
    ~ sP11(multiply(sk_c9,sk_c10)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).

fof(f645,plain,
    ( ~ spl26_11
    | ~ spl26_40 ),
    inference(avatar_contradiction_clause,[],[f644]) ).

fof(f644,plain,
    ( $false
    | ~ spl26_11
    | ~ spl26_40 ),
    inference(subsumption_resolution,[],[f643,f55]) ).

fof(f55,plain,
    ~ sP2(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f643,plain,
    ( sP2(sk_c10)
    | ~ spl26_11
    | ~ spl26_40 ),
    inference(forward_demodulation,[],[f622,f633]) ).

fof(f622,plain,
    ( sP2(multiply(sk_c1,sk_c9))
    | ~ spl26_40 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl26_40
  <=> sP2(multiply(sk_c1,sk_c9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).

fof(f642,plain,
    ( ~ spl26_10
    | ~ spl26_36 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | ~ spl26_10
    | ~ spl26_36 ),
    inference(subsumption_resolution,[],[f640,f56]) ).

fof(f56,plain,
    ~ sP3(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f640,plain,
    ( sP3(sk_c10)
    | ~ spl26_10
    | ~ spl26_36 ),
    inference(forward_demodulation,[],[f604,f179]) ).

fof(f604,plain,
    ( sP3(sF21)
    | ~ spl26_36 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl26_36
  <=> sP3(sF21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_36])]) ).

fof(f623,plain,
    ( spl26_40
    | spl26_36
    | ~ spl26_20 ),
    inference(avatar_split_clause,[],[f592,f254,f602,f620]) ).

fof(f254,plain,
    ( spl26_20
  <=> ! [X7] :
        ( sP2(multiply(X7,sk_c9))
        | sP3(inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).

fof(f592,plain,
    ( sP3(sF21)
    | sP2(multiply(sk_c1,sk_c9))
    | ~ spl26_20 ),
    inference(superposition,[],[f255,f85]) ).

fof(f255,plain,
    ( ! [X7] :
        ( sP3(inverse(X7))
        | sP2(multiply(X7,sk_c9)) )
    | ~ spl26_20 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f598,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_20 ),
    inference(avatar_contradiction_clause,[],[f597]) ).

fof(f597,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_20 ),
    inference(subsumption_resolution,[],[f596,f55]) ).

fof(f596,plain,
    ( sP2(sk_c10)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_20 ),
    inference(forward_demodulation,[],[f595,f301]) ).

fof(f301,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl26_2
    | ~ spl26_3 ),
    inference(superposition,[],[f293,f267]) ).

fof(f595,plain,
    ( sP2(multiply(sk_c10,sk_c9))
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_20 ),
    inference(forward_demodulation,[],[f594,f423]) ).

fof(f423,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,X0)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f370,f406]) ).

fof(f406,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(superposition,[],[f366,f293]) ).

fof(f366,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f276,f363]) ).

fof(f363,plain,
    ( sk_c10 = sF13
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(forward_demodulation,[],[f361,f301]) ).

fof(f361,plain,
    ( sF13 = multiply(sk_c10,sk_c9)
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(superposition,[],[f294,f354]) ).

fof(f354,plain,
    ( sk_c9 = multiply(sk_c5,sF13)
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(forward_demodulation,[],[f347,f305]) ).

fof(f305,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(superposition,[],[f294,f263]) ).

fof(f263,plain,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f77,f159]) ).

fof(f159,plain,
    ( sk_c10 = sF17
    | ~ spl26_6 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f347,plain,
    ( multiply(sk_c10,sk_c10) = multiply(sk_c5,sF13)
    | ~ spl26_6 ),
    inference(superposition,[],[f281,f69]) ).

fof(f281,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c9,X0))
    | ~ spl26_6 ),
    inference(superposition,[],[f3,f263]) ).

fof(f370,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c9,X0))
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f330,f363]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sF13,X0) = multiply(sk_c4,multiply(sk_c9,X0))
    | ~ spl26_2
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f313,f329]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sF13,X0) = multiply(sk_c9,multiply(sk_c8,X0))
    | ~ spl26_2
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(superposition,[],[f3,f325]) ).

fof(f325,plain,
    ( sF13 = multiply(sk_c9,sk_c8)
    | ~ spl26_2
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(forward_demodulation,[],[f318,f324]) ).

fof(f324,plain,
    ( sF13 = multiply(sk_c4,sk_c9)
    | ~ spl26_2
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(forward_demodulation,[],[f317,f69]) ).

fof(f317,plain,
    ( multiply(sk_c9,sk_c10) = multiply(sk_c4,sk_c9)
    | ~ spl26_2
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(superposition,[],[f280,f305]) ).

fof(f280,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl26_2 ),
    inference(superposition,[],[f3,f267]) ).

fof(f318,plain,
    ( multiply(sk_c4,sk_c9) = multiply(sk_c9,sk_c8)
    | ~ spl26_2
    | ~ spl26_4 ),
    inference(superposition,[],[f280,f265]) ).

fof(f313,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sk_c4,multiply(sk_c9,X0))
    | ~ spl26_2
    | ~ spl26_4 ),
    inference(superposition,[],[f280,f277]) ).

fof(f594,plain,
    ( sP2(multiply(sk_c4,sk_c9))
    | ~ spl26_3
    | ~ spl26_20 ),
    inference(subsumption_resolution,[],[f591,f56]) ).

fof(f591,plain,
    ( sP3(sk_c10)
    | sP2(multiply(sk_c4,sk_c9))
    | ~ spl26_3
    | ~ spl26_20 ),
    inference(superposition,[],[f255,f266]) ).

fof(f589,plain,
    ( ~ spl26_4
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f588]) ).

fof(f588,plain,
    ( $false
    | ~ spl26_4
    | ~ spl26_19 ),
    inference(subsumption_resolution,[],[f587,f57]) ).

fof(f57,plain,
    ~ sP4(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f587,plain,
    ( sP4(sk_c9)
    | ~ spl26_4
    | ~ spl26_19 ),
    inference(forward_demodulation,[],[f252,f149]) ).

fof(f252,plain,
    ( sP4(sF15)
    | ~ spl26_19 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl26_19
  <=> sP4(sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).

fof(f567,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_18 ),
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f565,f59]) ).

fof(f565,plain,
    ( sP6(sk_c9)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_18 ),
    inference(forward_demodulation,[],[f564,f305]) ).

fof(f564,plain,
    ( sP6(multiply(sk_c10,sk_c10))
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_18 ),
    inference(forward_demodulation,[],[f563,f423]) ).

fof(f563,plain,
    ( sP6(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f560,f58]) ).

fof(f560,plain,
    ( sP5(sk_c10)
    | sP6(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_18 ),
    inference(superposition,[],[f248,f266]) ).

fof(f550,plain,
    ( spl26_28
    | spl26_29
    | ~ spl26_17 ),
    inference(avatar_split_clause,[],[f524,f244,f547,f543]) ).

fof(f244,plain,
    ( spl26_17
  <=> ! [X4] :
        ( sP7(multiply(inverse(X4),sk_c10))
        | sP8(multiply(X4,inverse(X4))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).

fof(f524,plain,
    ( sP7(multiply(sF24,sk_c10))
    | sP8(multiply(sk_c2,sF24))
    | ~ spl26_17 ),
    inference(superposition,[],[f245,f112]) ).

fof(f245,plain,
    ( ! [X4] :
        ( sP7(multiply(inverse(X4),sk_c10))
        | sP8(multiply(X4,inverse(X4))) )
    | ~ spl26_17 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f531,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_17 ),
    inference(avatar_contradiction_clause,[],[f530]) ).

fof(f530,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_17 ),
    inference(subsumption_resolution,[],[f529,f61]) ).

fof(f529,plain,
    ( sP8(sk_c9)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_17 ),
    inference(forward_demodulation,[],[f528,f305]) ).

fof(f528,plain,
    ( sP8(multiply(sk_c10,sk_c10))
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_17 ),
    inference(forward_demodulation,[],[f527,f423]) ).

fof(f527,plain,
    ( sP8(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_17 ),
    inference(subsumption_resolution,[],[f526,f60]) ).

fof(f526,plain,
    ( sP7(sk_c9)
    | sP8(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_17 ),
    inference(forward_demodulation,[],[f522,f305]) ).

fof(f522,plain,
    ( sP7(multiply(sk_c10,sk_c10))
    | sP8(multiply(sk_c4,sk_c10))
    | ~ spl26_3
    | ~ spl26_17 ),
    inference(superposition,[],[f245,f266]) ).

fof(f486,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_16 ),
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_16 ),
    inference(subsumption_resolution,[],[f484,f62]) ).

fof(f484,plain,
    ( sP9(sk_c10)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_16 ),
    inference(forward_demodulation,[],[f483,f301]) ).

fof(f483,plain,
    ( sP9(multiply(sk_c10,sk_c9))
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_16 ),
    inference(forward_demodulation,[],[f482,f423]) ).

fof(f482,plain,
    ( sP9(multiply(sk_c4,sk_c9))
    | ~ spl26_3
    | ~ spl26_16 ),
    inference(subsumption_resolution,[],[f479,f63]) ).

fof(f479,plain,
    ( sP10(sk_c10)
    | sP9(multiply(sk_c4,sk_c9))
    | ~ spl26_3
    | ~ spl26_16 ),
    inference(superposition,[],[f242,f266]) ).

fof(f454,plain,
    ( ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_15 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_15 ),
    inference(subsumption_resolution,[],[f450,f365]) ).

fof(f365,plain,
    ( ~ sP11(sk_c10)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f130,f363]) ).

fof(f450,plain,
    ( sP11(sk_c10)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6
    | ~ spl26_15 ),
    inference(backward_demodulation,[],[f239,f429]) ).

fof(f429,plain,
    ( sk_c10 = sk_c8
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f368,f406]) ).

fof(f368,plain,
    ( sk_c10 = multiply(sk_c9,sk_c8)
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4
    | ~ spl26_5
    | ~ spl26_6 ),
    inference(backward_demodulation,[],[f325,f363]) ).

fof(f239,plain,
    ( sP11(sk_c8)
    | ~ spl26_15 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f259,plain,
    ( spl26_15
    | spl26_16
    | spl26_17
    | spl26_18
    | spl26_19
    | spl26_20
    | spl26_21 ),
    inference(avatar_split_clause,[],[f131,f257,f254,f250,f247,f244,f241,f237]) ).

fof(f131,plain,
    ! [X3,X8,X6,X7,X4] :
      ( sP0(multiply(inverse(X8),sk_c8))
      | sP1(multiply(X8,inverse(X8)))
      | sP2(multiply(X7,sk_c9))
      | sP3(inverse(X7))
      | sP4(sF15)
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(multiply(inverse(X4),sk_c10))
      | sP8(multiply(X4,inverse(X4)))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3))
      | sP11(sk_c8) ),
    inference(definition_folding,[],[f67,f73]) ).

fof(f67,plain,
    ! [X3,X8,X6,X7,X4] :
      ( sP0(multiply(inverse(X8),sk_c8))
      | sP1(multiply(X8,inverse(X8)))
      | sP2(multiply(X7,sk_c9))
      | sP3(inverse(X7))
      | sP4(multiply(sk_c10,sk_c8))
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(multiply(inverse(X4),sk_c10))
      | sP8(multiply(X4,inverse(X4)))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3))
      | sP11(sk_c8) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sP0(multiply(inverse(X8),sk_c8))
      | sP1(multiply(X8,inverse(X8)))
      | sP2(multiply(X7,sk_c9))
      | sP3(inverse(X7))
      | sP4(multiply(sk_c10,sk_c8))
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(multiply(X5,sk_c10))
      | inverse(X4) != X5
      | sP8(multiply(X4,X5))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3))
      | sP11(sk_c8) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sP0(multiply(X9,sk_c8))
      | inverse(X8) != X9
      | sP1(multiply(X8,X9))
      | sP2(multiply(X7,sk_c9))
      | sP3(inverse(X7))
      | sP4(multiply(sk_c10,sk_c8))
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(multiply(X5,sk_c10))
      | inverse(X4) != X5
      | sP8(multiply(X4,X5))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3))
      | sP11(sk_c8) ),
    inference(inequality_splitting,[],[f52,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).

fof(f52,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(X9,sk_c8)
      | inverse(X8) != X9
      | sk_c9 != multiply(X8,X9)
      | sk_c10 != multiply(X7,sk_c9)
      | sk_c10 != inverse(X7)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c9 != multiply(X5,sk_c10)
      | inverse(X4) != X5
      | sk_c9 != multiply(X4,X5)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(X3)
      | multiply(sk_c9,sk_c10) != sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_49) ).

fof(f232,plain,
    ( spl26_14
    | spl26_6 ),
    inference(avatar_split_clause,[],[f126,f157,f225]) ).

fof(f126,plain,
    ( sk_c10 = sF17
    | sk_c9 = sF25 ),
    inference(definition_folding,[],[f48,f121,f77]) ).

fof(f48,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_45) ).

fof(f231,plain,
    ( spl26_14
    | spl26_5 ),
    inference(avatar_split_clause,[],[f125,f152,f225]) ).

fof(f125,plain,
    ( sk_c10 = sF16
    | sk_c9 = sF25 ),
    inference(definition_folding,[],[f47,f121,f75]) ).

fof(f47,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_44) ).

fof(f230,plain,
    ( spl26_14
    | spl26_4 ),
    inference(avatar_split_clause,[],[f124,f147,f225]) ).

fof(f124,plain,
    ( sk_c9 = sF15
    | sk_c9 = sF25 ),
    inference(definition_folding,[],[f46,f121,f73]) ).

fof(f46,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_43) ).

fof(f229,plain,
    ( spl26_14
    | spl26_3 ),
    inference(avatar_split_clause,[],[f123,f142,f225]) ).

fof(f123,plain,
    ( sk_c10 = sF14
    | sk_c9 = sF25 ),
    inference(definition_folding,[],[f45,f121,f71]) ).

fof(f45,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_42) ).

fof(f228,plain,
    ( spl26_14
    | spl26_2 ),
    inference(avatar_split_clause,[],[f122,f137,f225]) ).

fof(f122,plain,
    ( sk_c9 = sF12
    | sk_c9 = sF25 ),
    inference(definition_folding,[],[f44,f121,f68]) ).

fof(f44,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_41) ).

fof(f223,plain,
    ( spl26_13
    | spl26_9 ),
    inference(avatar_split_clause,[],[f120,f172,f213]) ).

fof(f120,plain,
    ( sk_c9 = sF20
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f43,f112,f83]) ).

fof(f43,axiom,
    ( sk_c9 = multiply(sk_c7,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_40) ).

fof(f222,plain,
    ( spl26_13
    | spl26_8 ),
    inference(avatar_split_clause,[],[f119,f167,f213]) ).

fof(f119,plain,
    ( sk_c7 = sF19
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f42,f112,f81]) ).

fof(f42,axiom,
    ( sk_c7 = inverse(sk_c6)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_39) ).

fof(f221,plain,
    ( spl26_13
    | spl26_7 ),
    inference(avatar_split_clause,[],[f118,f162,f213]) ).

fof(f118,plain,
    ( sk_c9 = sF18
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f41,f112,f79]) ).

fof(f41,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c7)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_38) ).

fof(f220,plain,
    ( spl26_13
    | spl26_6 ),
    inference(avatar_split_clause,[],[f117,f157,f213]) ).

fof(f117,plain,
    ( sk_c10 = sF17
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f40,f112,f77]) ).

fof(f40,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_37) ).

fof(f219,plain,
    ( spl26_13
    | spl26_5 ),
    inference(avatar_split_clause,[],[f116,f152,f213]) ).

fof(f116,plain,
    ( sk_c10 = sF16
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f39,f112,f75]) ).

fof(f39,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_36) ).

fof(f218,plain,
    ( spl26_13
    | spl26_4 ),
    inference(avatar_split_clause,[],[f115,f147,f213]) ).

fof(f115,plain,
    ( sk_c9 = sF15
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f38,f112,f73]) ).

fof(f38,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_35) ).

fof(f217,plain,
    ( spl26_13
    | spl26_3 ),
    inference(avatar_split_clause,[],[f114,f142,f213]) ).

fof(f114,plain,
    ( sk_c10 = sF14
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f37,f112,f71]) ).

fof(f37,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_34) ).

fof(f216,plain,
    ( spl26_13
    | spl26_2 ),
    inference(avatar_split_clause,[],[f113,f137,f213]) ).

fof(f113,plain,
    ( sk_c9 = sF12
    | sk_c3 = sF24 ),
    inference(definition_folding,[],[f36,f112,f68]) ).

fof(f36,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_33) ).

fof(f208,plain,
    ( spl26_12
    | spl26_6 ),
    inference(avatar_split_clause,[],[f108,f157,f201]) ).

fof(f108,plain,
    ( sk_c10 = sF17
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f32,f103,f77]) ).

fof(f32,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_29) ).

fof(f207,plain,
    ( spl26_12
    | spl26_5 ),
    inference(avatar_split_clause,[],[f107,f152,f201]) ).

fof(f107,plain,
    ( sk_c10 = sF16
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f31,f103,f75]) ).

fof(f31,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_28) ).

fof(f206,plain,
    ( spl26_12
    | spl26_4 ),
    inference(avatar_split_clause,[],[f106,f147,f201]) ).

fof(f106,plain,
    ( sk_c9 = sF15
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f30,f103,f73]) ).

fof(f30,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_27) ).

fof(f205,plain,
    ( spl26_12
    | spl26_3 ),
    inference(avatar_split_clause,[],[f105,f142,f201]) ).

fof(f105,plain,
    ( sk_c10 = sF14
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f29,f103,f71]) ).

fof(f29,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_26) ).

fof(f204,plain,
    ( spl26_12
    | spl26_2 ),
    inference(avatar_split_clause,[],[f104,f137,f201]) ).

fof(f104,plain,
    ( sk_c9 = sF12
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f28,f103,f68]) ).

fof(f28,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_25) ).

fof(f196,plain,
    ( spl26_11
    | spl26_6 ),
    inference(avatar_split_clause,[],[f99,f157,f189]) ).

fof(f99,plain,
    ( sk_c10 = sF17
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f24,f94,f77]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_21) ).

fof(f195,plain,
    ( spl26_11
    | spl26_5 ),
    inference(avatar_split_clause,[],[f98,f152,f189]) ).

fof(f98,plain,
    ( sk_c10 = sF16
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f23,f94,f75]) ).

fof(f23,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_20) ).

fof(f194,plain,
    ( spl26_11
    | spl26_4 ),
    inference(avatar_split_clause,[],[f97,f147,f189]) ).

fof(f97,plain,
    ( sk_c9 = sF15
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f22,f94,f73]) ).

fof(f22,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_19) ).

fof(f193,plain,
    ( spl26_11
    | spl26_3 ),
    inference(avatar_split_clause,[],[f96,f142,f189]) ).

fof(f96,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f21,f94,f71]) ).

fof(f21,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_18) ).

fof(f192,plain,
    ( spl26_11
    | spl26_2 ),
    inference(avatar_split_clause,[],[f95,f137,f189]) ).

fof(f95,plain,
    ( sk_c9 = sF12
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f20,f94,f68]) ).

fof(f20,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_17) ).

fof(f184,plain,
    ( spl26_10
    | spl26_6 ),
    inference(avatar_split_clause,[],[f90,f157,f177]) ).

fof(f90,plain,
    ( sk_c10 = sF17
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f16,f85,f77]) ).

fof(f16,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_13) ).

fof(f183,plain,
    ( spl26_10
    | spl26_5 ),
    inference(avatar_split_clause,[],[f89,f152,f177]) ).

fof(f89,plain,
    ( sk_c10 = sF16
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f15,f85,f75]) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_12) ).

fof(f182,plain,
    ( spl26_10
    | spl26_4 ),
    inference(avatar_split_clause,[],[f88,f147,f177]) ).

fof(f88,plain,
    ( sk_c9 = sF15
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f14,f85,f73]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_11) ).

fof(f181,plain,
    ( spl26_10
    | spl26_3 ),
    inference(avatar_split_clause,[],[f87,f142,f177]) ).

fof(f87,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f13,f85,f71]) ).

fof(f13,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_10) ).

fof(f180,plain,
    ( spl26_10
    | spl26_2 ),
    inference(avatar_split_clause,[],[f86,f137,f177]) ).

fof(f86,plain,
    ( sk_c9 = sF12
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f12,f85,f68]) ).

fof(f12,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_9) ).

fof(f175,plain,
    ( spl26_1
    | spl26_9 ),
    inference(avatar_split_clause,[],[f84,f172,f133]) ).

fof(f84,plain,
    ( sk_c9 = sF20
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f11,f69,f83]) ).

fof(f11,axiom,
    ( sk_c9 = multiply(sk_c7,sk_c8)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_8) ).

fof(f170,plain,
    ( spl26_1
    | spl26_8 ),
    inference(avatar_split_clause,[],[f82,f167,f133]) ).

fof(f82,plain,
    ( sk_c7 = sF19
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f10,f69,f81]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c6)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_7) ).

fof(f165,plain,
    ( spl26_1
    | spl26_7 ),
    inference(avatar_split_clause,[],[f80,f162,f133]) ).

fof(f80,plain,
    ( sk_c9 = sF18
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f9,f69,f79]) ).

fof(f9,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c7)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_6) ).

fof(f160,plain,
    ( spl26_1
    | spl26_6 ),
    inference(avatar_split_clause,[],[f78,f157,f133]) ).

fof(f78,plain,
    ( sk_c10 = sF17
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f8,f69,f77]) ).

fof(f8,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_5) ).

fof(f155,plain,
    ( spl26_1
    | spl26_5 ),
    inference(avatar_split_clause,[],[f76,f152,f133]) ).

fof(f76,plain,
    ( sk_c10 = sF16
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f7,f69,f75]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c5)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_4) ).

fof(f150,plain,
    ( spl26_1
    | spl26_4 ),
    inference(avatar_split_clause,[],[f74,f147,f133]) ).

fof(f74,plain,
    ( sk_c9 = sF15
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f6,f69,f73]) ).

fof(f6,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_3) ).

fof(f145,plain,
    ( spl26_1
    | spl26_3 ),
    inference(avatar_split_clause,[],[f72,f142,f133]) ).

fof(f72,plain,
    ( sk_c10 = sF14
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f5,f69,f71]) ).

fof(f5,axiom,
    ( sk_c10 = inverse(sk_c4)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_2) ).

fof(f140,plain,
    ( spl26_1
    | spl26_2 ),
    inference(avatar_split_clause,[],[f70,f137,f133]) ).

fof(f70,plain,
    ( sk_c9 = sF12
    | sk_c8 = sF13 ),
    inference(definition_folding,[],[f4,f69,f68]) ).

fof(f4,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qRAAFCJKos/Vampire---4.8_9301',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % 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
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:40:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35  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.qRAAFCJKos/Vampire---4.8_9301
% 0.56/0.74  % (9417)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)
% 0.56/0.74  % (9410)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)
% 0.56/0.74  % (9412)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (9414)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)
% 0.56/0.74  % (9411)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)
% 0.56/0.74  % (9413)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)
% 0.56/0.74  % (9415)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)
% 0.56/0.74  % (9416)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)
% 0.56/0.74  % (9417)Refutation not found, incomplete strategy% (9417)------------------------------
% 0.56/0.74  % (9417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9417)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9417)Memory used [KB]: 1020
% 0.56/0.74  % (9417)Time elapsed: 0.002 s
% 0.56/0.74  % (9417)Instructions burned: 5 (million)
% 0.56/0.74  % (9417)------------------------------
% 0.56/0.74  % (9417)------------------------------
% 0.56/0.74  % (9410)Refutation not found, incomplete strategy% (9410)------------------------------
% 0.56/0.74  % (9410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9410)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9410)Memory used [KB]: 1019
% 0.56/0.74  % (9410)Time elapsed: 0.004 s
% 0.56/0.74  % (9413)Refutation not found, incomplete strategy% (9413)------------------------------
% 0.56/0.74  % (9413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9413)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9413)Memory used [KB]: 1000
% 0.56/0.74  % (9413)Time elapsed: 0.004 s
% 0.56/0.74  % (9413)Instructions burned: 5 (million)
% 0.56/0.74  % (9410)Instructions burned: 5 (million)
% 0.56/0.74  % (9414)Refutation not found, incomplete strategy% (9414)------------------------------
% 0.56/0.74  % (9414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9414)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9414)Memory used [KB]: 1098
% 0.56/0.74  % (9413)------------------------------
% 0.56/0.74  % (9413)------------------------------
% 0.56/0.74  % (9414)Time elapsed: 0.004 s
% 0.56/0.74  % (9414)Instructions burned: 5 (million)
% 0.56/0.74  % (9410)------------------------------
% 0.56/0.74  % (9410)------------------------------
% 0.56/0.74  % (9418)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)
% 0.56/0.74  % (9414)------------------------------
% 0.56/0.74  % (9414)------------------------------
% 0.56/0.74  % (9412)Refutation not found, incomplete strategy% (9412)------------------------------
% 0.56/0.74  % (9412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9412)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9412)Memory used [KB]: 1077
% 0.56/0.74  % (9412)Time elapsed: 0.005 s
% 0.56/0.74  % (9412)Instructions burned: 7 (million)
% 0.56/0.74  % (9412)------------------------------
% 0.56/0.74  % (9412)------------------------------
% 0.56/0.74  % (9418)Refutation not found, incomplete strategy% (9418)------------------------------
% 0.56/0.74  % (9418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9418)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9418)Memory used [KB]: 1103
% 0.56/0.74  % (9418)Time elapsed: 0.003 s
% 0.56/0.74  % (9418)Instructions burned: 7 (million)
% 0.56/0.74  % (9418)------------------------------
% 0.56/0.74  % (9418)------------------------------
% 0.56/0.74  % (9419)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)
% 0.56/0.74  % (9420)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)
% 0.56/0.74  % (9421)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)
% 0.56/0.75  % (9423)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)
% 0.56/0.75  % (9422)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)
% 0.56/0.75  % (9423)Refutation not found, incomplete strategy% (9423)------------------------------
% 0.56/0.75  % (9423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (9423)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (9423)Memory used [KB]: 1034
% 0.56/0.75  % (9423)Time elapsed: 0.002 s
% 0.56/0.75  % (9423)Instructions burned: 5 (million)
% 0.56/0.75  % (9423)------------------------------
% 0.56/0.75  % (9423)------------------------------
% 0.56/0.75  % (9419)Refutation not found, incomplete strategy% (9419)------------------------------
% 0.56/0.75  % (9419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (9419)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (9419)Memory used [KB]: 1071
% 0.56/0.75  % (9419)Time elapsed: 0.005 s
% 0.56/0.75  % (9419)Instructions burned: 8 (million)
% 0.56/0.75  % (9419)------------------------------
% 0.56/0.75  % (9419)------------------------------
% 0.56/0.75  % (9421)Refutation not found, incomplete strategy% (9421)------------------------------
% 0.56/0.75  % (9421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (9421)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (9421)Memory used [KB]: 1077
% 0.56/0.75  % (9421)Time elapsed: 0.005 s
% 0.56/0.75  % (9421)Instructions burned: 7 (million)
% 0.56/0.75  % (9421)------------------------------
% 0.56/0.75  % (9421)------------------------------
% 0.56/0.75  % (9424)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)
% 0.56/0.75  % (9425)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)
% 0.56/0.75  % (9426)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)
% 0.56/0.75  % (9425)Refutation not found, incomplete strategy% (9425)------------------------------
% 0.56/0.75  % (9425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (9425)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (9425)Memory used [KB]: 1021
% 0.56/0.75  % (9425)Time elapsed: 0.005 s
% 0.56/0.75  % (9425)Instructions burned: 5 (million)
% 0.56/0.76  % (9425)------------------------------
% 0.56/0.76  % (9425)------------------------------
% 0.56/0.76  % (9426)Refutation not found, incomplete strategy% (9426)------------------------------
% 0.56/0.76  % (9426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (9426)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (9426)Memory used [KB]: 1085
% 0.56/0.76  % (9426)Time elapsed: 0.005 s
% 0.56/0.76  % (9426)Instructions burned: 5 (million)
% 0.56/0.76  % (9426)------------------------------
% 0.56/0.76  % (9426)------------------------------
% 0.56/0.76  % (9424)Refutation not found, incomplete strategy% (9424)------------------------------
% 0.56/0.76  % (9424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (9424)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (9424)Memory used [KB]: 1213
% 0.56/0.76  % (9424)Time elapsed: 0.009 s
% 0.56/0.76  % (9424)Instructions burned: 25 (million)
% 0.56/0.76  % (9424)------------------------------
% 0.56/0.76  % (9424)------------------------------
% 0.56/0.76  % (9415)Instruction limit reached!
% 0.56/0.76  % (9415)------------------------------
% 0.56/0.76  % (9415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (9415)Termination reason: Unknown
% 0.56/0.76  % (9415)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (9415)Memory used [KB]: 1638
% 0.56/0.76  % (9415)Time elapsed: 0.023 s
% 0.56/0.76  % (9415)Instructions burned: 46 (million)
% 0.56/0.76  % (9415)------------------------------
% 0.56/0.76  % (9415)------------------------------
% 0.56/0.76  % (9427)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)
% 0.68/0.76  % (9428)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)
% 0.68/0.76  % (9429)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)
% 0.68/0.76  % (9428)Refutation not found, incomplete strategy% (9428)------------------------------
% 0.68/0.76  % (9428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (9428)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.76  
% 0.68/0.76  % (9428)Memory used [KB]: 1019
% 0.68/0.76  % (9428)Time elapsed: 0.004 s
% 0.68/0.76  % (9428)Instructions burned: 4 (million)
% 0.68/0.76  % (9430)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)
% 0.68/0.76  % (9428)------------------------------
% 0.68/0.76  % (9428)------------------------------
% 0.68/0.76  % (9429)Refutation not found, incomplete strategy% (9429)------------------------------
% 0.68/0.76  % (9429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (9429)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.76  
% 0.68/0.76  % (9429)Memory used [KB]: 1086
% 0.68/0.76  % (9429)Time elapsed: 0.003 s
% 0.68/0.76  % (9429)Instructions burned: 7 (million)
% 0.68/0.76  % (9429)------------------------------
% 0.68/0.76  % (9429)------------------------------
% 0.68/0.76  % (9411)Instruction limit reached!
% 0.68/0.76  % (9411)------------------------------
% 0.68/0.76  % (9411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (9411)Termination reason: Unknown
% 0.68/0.76  % (9411)Termination phase: Saturation
% 0.68/0.76  
% 0.68/0.76  % (9411)Memory used [KB]: 1652
% 0.68/0.76  % (9411)Time elapsed: 0.029 s
% 0.68/0.76  % (9411)Instructions burned: 52 (million)
% 0.68/0.76  % (9411)------------------------------
% 0.68/0.76  % (9411)------------------------------
% 0.68/0.77  % (9432)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)
% 0.68/0.77  % (9431)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)
% 0.68/0.77  % (9430)Refutation not found, incomplete strategy% (9430)------------------------------
% 0.68/0.77  % (9430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (9430)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (9430)Memory used [KB]: 1077
% 0.68/0.77  % (9430)Time elapsed: 0.007 s
% 0.68/0.77  % (9430)Instructions burned: 8 (million)
% 0.68/0.77  % (9430)------------------------------
% 0.68/0.77  % (9430)------------------------------
% 0.68/0.77  % (9433)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)
% 0.68/0.77  % (9431)Refutation not found, incomplete strategy% (9431)------------------------------
% 0.68/0.77  % (9431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (9431)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (9431)Memory used [KB]: 1110
% 0.68/0.77  % (9431)Time elapsed: 0.005 s
% 0.68/0.77  % (9431)Instructions burned: 6 (million)
% 0.68/0.77  % (9431)------------------------------
% 0.68/0.77  % (9431)------------------------------
% 0.68/0.77  % (9433)Refutation not found, incomplete strategy% (9433)------------------------------
% 0.68/0.77  % (9433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (9433)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (9433)Memory used [KB]: 1103
% 0.68/0.77  % (9433)Time elapsed: 0.004 s
% 0.68/0.77  % (9433)Instructions burned: 5 (million)
% 0.68/0.77  % (9434)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)
% 0.68/0.77  % (9433)------------------------------
% 0.68/0.77  % (9433)------------------------------
% 0.68/0.77  % (9416)Instruction limit reached!
% 0.68/0.77  % (9416)------------------------------
% 0.68/0.77  % (9416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (9416)Termination reason: Unknown
% 0.68/0.77  % (9416)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (9416)Memory used [KB]: 1775
% 0.68/0.77  % (9416)Time elapsed: 0.039 s
% 0.68/0.77  % (9416)Instructions burned: 83 (million)
% 0.68/0.77  % (9416)------------------------------
% 0.68/0.77  % (9416)------------------------------
% 0.68/0.77  % (9436)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)
% 0.68/0.78  % (9437)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)
% 0.68/0.78  % (9434)Refutation not found, incomplete strategy% (9434)------------------------------
% 0.68/0.78  % (9434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (9434)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (9434)Memory used [KB]: 1105
% 0.68/0.78  % (9434)Time elapsed: 0.006 s
% 0.68/0.78  % (9434)Instructions burned: 8 (million)
% 0.68/0.78  % (9434)------------------------------
% 0.68/0.78  % (9434)------------------------------
% 0.68/0.78  % (9438)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)
% 0.68/0.78  % (9432)Instruction limit reached!
% 0.68/0.78  % (9432)------------------------------
% 0.68/0.78  % (9432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (9432)Termination reason: Unknown
% 0.68/0.78  % (9432)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (9432)Memory used [KB]: 1201
% 0.68/0.78  % (9432)Time elapsed: 0.016 s
% 0.68/0.78  % (9432)Instructions burned: 54 (million)
% 0.68/0.78  % (9432)------------------------------
% 0.68/0.78  % (9432)------------------------------
% 0.68/0.78  % (9439)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)
% 0.68/0.78  % (9440)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)
% 0.68/0.78  % (9439)Refutation not found, incomplete strategy% (9439)------------------------------
% 0.68/0.78  % (9439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (9439)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (9439)Memory used [KB]: 997
% 0.68/0.78  % (9439)Time elapsed: 0.005 s
% 0.68/0.78  % (9439)Instructions burned: 5 (million)
% 0.68/0.78  % (9439)------------------------------
% 0.68/0.78  % (9439)------------------------------
% 0.68/0.79  % (9440)Refutation not found, incomplete strategy% (9440)------------------------------
% 0.68/0.79  % (9440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (9440)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (9440)Memory used [KB]: 1106
% 0.68/0.79  % (9440)Time elapsed: 0.003 s
% 0.68/0.79  % (9440)Instructions burned: 5 (million)
% 0.68/0.79  % (9440)------------------------------
% 0.68/0.79  % (9440)------------------------------
% 0.68/0.79  % (9442)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)
% 0.68/0.79  % (9441)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)
% 0.68/0.79  % (9436)Instruction limit reached!
% 0.68/0.79  % (9436)------------------------------
% 0.68/0.79  % (9436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (9436)Termination reason: Unknown
% 0.68/0.79  % (9436)Termination phase: Saturation
% 0.68/0.79  
% 0.68/0.79  % (9436)Memory used [KB]: 1221
% 0.68/0.79  % (9436)Time elapsed: 0.019 s
% 0.68/0.79  % (9436)Instructions burned: 36 (million)
% 0.68/0.79  % (9436)------------------------------
% 0.68/0.79  % (9436)------------------------------
% 0.68/0.80  % (9443)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)
% 0.68/0.80  % (9442)First to succeed.
% 0.68/0.81  % (9442)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9409"
% 0.68/0.81  % (9442)Refutation found. Thanks to Tanya!
% 0.68/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.81  % (9442)------------------------------
% 0.68/0.81  % (9442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (9442)Termination reason: Refutation
% 0.68/0.81  
% 0.68/0.81  % (9442)Memory used [KB]: 1410
% 0.68/0.81  % (9442)Time elapsed: 0.040 s
% 0.68/0.81  % (9442)Instructions burned: 56 (million)
% 0.68/0.81  % (9409)Success in time 0.435 s
% 0.68/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------