TSTP Solution File: GRP357-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP357-1 : TPTP v8.2.0. 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 : n003.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 : Mon May 20 21:08:14 EDT 2024

% Result   : Unsatisfiable 0.65s 0.85s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  427 (  38 unt;   0 def)
%            Number of atoms       : 1575 ( 366 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 2155 (1007   ~;1127   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  22 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :  108 ( 108   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1886,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,f250,f259,f368,f402,f444,f455,f632,f645,f861,f923,f951,f987,f1033,f1545,f1835,f1849,f1866,f1874,f1880]) ).

fof(f1880,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_25 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1879,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_25 ),
    inference(subsumption_resolution,[],[f1878,f37]) ).

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

fof(f1878,plain,
    ( sP2(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_25 ),
    inference(forward_demodulation,[],[f986,f1800]) ).

fof(f1800,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1779,f1793]) ).

fof(f1793,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f956,f1785]) ).

fof(f1785,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1,f1784]) ).

fof(f1784,plain,
    ( identity = sk_c6
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1782,f957]) ).

fof(f957,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/benchmark/theBenchmark.p',left_inverse) ).

fof(f1782,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1716,f1771]) ).

fof(f1771,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1750,f1675]) ).

fof(f1675,plain,
    ( sk_c2 = multiply(sk_c2,sk_c8)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f692,f1674]) ).

fof(f1674,plain,
    ( sk_c2 = multiply(sk_c8,sk_c6)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1439,f692]) ).

fof(f1439,plain,
    ( sk_c2 = multiply(sk_c2,sk_c8)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f1410,f953]) ).

fof(f953,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ 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,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f1410,plain,
    ( sk_c2 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl20_9 ),
    inference(superposition,[],[f210,f955]) ).

fof(f955,plain,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f67,f137]) ).

fof(f137,plain,
    ( sk_c8 = sF17
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl20_9
  <=> sk_c8 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f67,plain,
    multiply(sk_c1,sk_c2) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f210,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f198,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f692,plain,
    ( multiply(sk_c2,sk_c8) = multiply(sk_c8,sk_c6)
    | ~ spl20_1
    | ~ spl20_11 ),
    inference(superposition,[],[f407,f453]) ).

fof(f453,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f48,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(f48,plain,
    multiply(sk_c7,sk_c6) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f407,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f207,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(f207,plain,
    ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sF19,X0),
    inference(superposition,[],[f3,f81]) ).

fof(f81,plain,
    multiply(sk_c2,sk_c7) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f1750,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f406,f1745]) ).

fof(f1745,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1726,f1735]) ).

fof(f1735,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1731,f1561]) ).

fof(f1561,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl20_1
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1414,f1412]) ).

fof(f1412,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c2),multiply(sk_c8,X0))
    | ~ spl20_11 ),
    inference(superposition,[],[f210,f407]) ).

fof(f1414,plain,
    ( sk_c8 = multiply(inverse(sk_c2),multiply(sk_c8,sk_c6))
    | ~ spl20_1
    | ~ spl20_11 ),
    inference(superposition,[],[f210,f692]) ).

fof(f1731,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1377,f1730]) ).

fof(f1730,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sF9,X0)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1728,f1375]) ).

fof(f1375,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sF9,X0)
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1370,f675]) ).

fof(f675,plain,
    ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sF9,X0),
    inference(superposition,[],[f3,f47]) ).

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

fof(f1370,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(superposition,[],[f954,f407]) ).

fof(f954,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f206,f137]) ).

fof(f206,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sF17,X0),
    inference(superposition,[],[f3,f67]) ).

fof(f1728,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1412,f1725]) ).

fof(f1725,plain,
    ( sk_c1 = inverse(sk_c2)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1690,f1723]) ).

fof(f1723,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[],[f1721,f1400]) ).

fof(f1400,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f210,f210]) ).

fof(f1721,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f210,f2]) ).

fof(f1690,plain,
    ( sk_c1 = multiply(inverse(sk_c2),identity)
    | ~ spl20_10 ),
    inference(superposition,[],[f210,f952]) ).

fof(f952,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f195,f147]) ).

fof(f195,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f74]) ).

fof(f1377,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sF9,sk_c6)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1372,f1375]) ).

fof(f1372,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c1,multiply(sk_c8,sk_c6))
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(superposition,[],[f954,f692]) ).

fof(f1726,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1008,f1723]) ).

fof(f1008,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c7,identity)
    | ~ spl20_1
    | ~ spl20_8 ),
    inference(superposition,[],[f452,f957]) ).

fof(f452,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f199,f93]) ).

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

fof(f406,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f81,f157]) ).

fof(f1716,plain,
    ( sk_c6 = multiply(sk_c6,sk_c2)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1714,f958]) ).

fof(f958,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f60,f127]) ).

fof(f1714,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c2)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(superposition,[],[f210,f1674]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f956,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f403,f127]) ).

fof(f403,plain,
    ! [X0] : multiply(sF16,multiply(sk_c8,X0)) = X0,
    inference(forward_demodulation,[],[f353,f1]) ).

fof(f353,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF16,multiply(sk_c8,X0)),
    inference(superposition,[],[f3,f192]) ).

fof(f1779,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1674,f1771]) ).

fof(f986,plain,
    ( sP2(sk_c6)
    | ~ spl20_25 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl20_25
  <=> sP2(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).

fof(f1874,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_21 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1873,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1872,f35]) ).

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

fof(f1872,plain,
    ( sP0(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_21 ),
    inference(forward_demodulation,[],[f860,f1772]) ).

fof(f1772,plain,
    ( sk_c8 = sF18
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f147,f1771]) ).

fof(f860,plain,
    ( sP0(sF18)
    | ~ spl20_21 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl20_21
  <=> sP0(sF18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

fof(f1866,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_20 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1865,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1864,f1746]) ).

fof(f1746,plain,
    ( ~ sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f36,f1745]) ).

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

fof(f1864,plain,
    ( sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_20 ),
    inference(forward_demodulation,[],[f1863,f1820]) ).

fof(f1820,plain,
    ( sk_c8 = sk_c1
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1819,f1800]) ).

fof(f1819,plain,
    ( sk_c6 = sk_c1
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1792,f1793]) ).

fof(f1792,plain,
    ( sk_c6 = multiply(sk_c8,sk_c1)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1773,f1784]) ).

fof(f1773,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f952,f1771]) ).

fof(f1863,plain,
    ( sP1(sk_c1)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_20 ),
    inference(forward_demodulation,[],[f1862,f1818]) ).

fof(f1818,plain,
    ( ! [X0] : multiply(X0,sk_c8) = X0
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1791,f1800]) ).

fof(f1791,plain,
    ( ! [X0] : multiply(X0,sk_c6) = X0
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1723,f1784]) ).

fof(f1862,plain,
    ( sP1(multiply(sk_c1,sk_c8))
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_20 ),
    inference(forward_demodulation,[],[f856,f1793]) ).

fof(f856,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c1,sk_c8)))
    | ~ spl20_20 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl20_20
  <=> sP1(multiply(sk_c8,multiply(sk_c1,sk_c8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

fof(f1849,plain,
    ( ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1848,plain,
    ( $false
    | ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f1766,f1800]) ).

fof(f1766,plain,
    ( sk_c6 != sk_c8
    | ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1739,f1745]) ).

fof(f1739,plain,
    ( sk_c7 != sk_c6
    | spl20_2
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f96,f1737]) ).

fof(f1737,plain,
    ( sk_c7 = sF9
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1729,f1376]) ).

fof(f1376,plain,
    ( sF9 = multiply(sk_c1,sk_c8)
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1371,f47]) ).

fof(f1371,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c8)
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(superposition,[],[f954,f406]) ).

fof(f1729,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1413,f1725]) ).

fof(f1413,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c8)
    | ~ spl20_11 ),
    inference(superposition,[],[f210,f406]) ).

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(f1835,plain,
    ( ~ spl20_1
    | ~ spl20_3
    | spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f1834]) ).

fof(f1834,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_3
    | spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f1833,f106]) ).

fof(f106,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(f1833,plain,
    ( sk_c8 = sF12
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1830,f1807]) ).

fof(f1807,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f958,f1800]) ).

fof(f1830,plain,
    ( inverse(sk_c8) = sF12
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f52,f1829]) ).

fof(f1829,plain,
    ( sk_c8 = sk_c3
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1753,f1818]) ).

fof(f1753,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f909,f1745]) ).

fof(f909,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl20_3 ),
    inference(forward_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(f52,plain,
    inverse(sk_c3) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f1545,plain,
    ( ~ spl20_1
    | spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | ~ spl20_1
    | spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f1543,f1430]) ).

fof(f1430,plain,
    ( sk_c7 != sk_c8
    | ~ spl20_1
    | spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f111,f1428]) ).

fof(f1428,plain,
    ( sk_c8 = sF13
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1425,f453]) ).

fof(f1425,plain,
    ( multiply(sk_c7,sk_c6) = sF13
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1357,f1422]) ).

fof(f1422,plain,
    ( sk_c6 = sk_c4
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1314,f1421]) ).

fof(f1421,plain,
    ( ! [X0] : multiply(X0,sk_c5) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1399,f1400]) ).

fof(f1399,plain,
    ( ! [X0] : multiply(inverse(inverse(X0)),sk_c5) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f210,f1311]) ).

fof(f1311,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f2,f1309]) ).

fof(f1309,plain,
    ( identity = sk_c5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f957,f1206]) ).

fof(f1206,plain,
    ( sk_c5 = multiply(sk_c6,sk_c8)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f766,f1203]) ).

fof(f1203,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1202,f1]) ).

fof(f1202,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f3,f1015]) ).

fof(f1015,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f956,f994]) ).

fof(f994,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl20_7 ),
    inference(superposition,[],[f2,f765]) ).

fof(f765,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(f766,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(f1314,plain,
    ( sk_c4 = multiply(sk_c6,sk_c5)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1015,f1309]) ).

fof(f1357,plain,
    ( sF13 = multiply(sk_c7,sk_c4)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1354,f54]) ).

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

fof(f1354,plain,
    ( multiply(sk_c8,sk_c5) = multiply(sk_c7,sk_c4)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f452,f1314]) ).

fof(f111,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(f1543,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1542,f1494]) ).

fof(f1494,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f958,f1490]) ).

fof(f1490,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f453,f1487]) ).

fof(f1487,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1477,f1478]) ).

fof(f1478,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f956,f1476]) ).

fof(f1476,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1453,f1452]) ).

fof(f1452,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f954,f1443]) ).

fof(f1443,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1208,f1440]) ).

fof(f1440,plain,
    ( sk_c5 = sk_c2
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1439,f1431]) ).

fof(f1431,plain,
    ( sk_c5 = multiply(sk_c2,sk_c8)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f692,f1426]) ).

fof(f1426,plain,
    ( sk_c5 = multiply(sk_c8,sk_c6)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1315,f1422]) ).

fof(f1315,plain,
    ( sk_c5 = multiply(sk_c8,sk_c4)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f994,f1309]) ).

fof(f1208,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1205,f956]) ).

fof(f1205,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f912,f1203]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl20_6 ),
    inference(superposition,[],[f3,f766]) ).

fof(f1453,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f964,f1443]) ).

fof(f964,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f963,f1]) ).

fof(f963,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl20_10 ),
    inference(superposition,[],[f3,f952]) ).

fof(f1477,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f452,f1476]) ).

fof(f1542,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1541,f1489]) ).

fof(f1489,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1442,f1478]) ).

fof(f1442,plain,
    ( sk_c2 = multiply(sk_c6,sk_c8)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1206,f1440]) ).

fof(f1541,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1413,f1531]) ).

fof(f1531,plain,
    ( ! [X0] : multiply(X0,sk_c8) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1449,f1489]) ).

fof(f1449,plain,
    ( ! [X0] : multiply(X0,sk_c2) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1421,f1440]) ).

fof(f1033,plain,
    ( ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_24 ),
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1032,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_24 ),
    inference(subsumption_resolution,[],[f1031,f38]) ).

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

fof(f1031,plain,
    ( sP3(sk_c7)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_24 ),
    inference(backward_demodulation,[],[f982,f1029]) ).

fof(f1029,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1025,f1013]) ).

fof(f1013,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl20_2
    | ~ spl20_8 ),
    inference(superposition,[],[f956,f907]) ).

fof(f907,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(f1025,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_2 ),
    inference(superposition,[],[f908,f453]) ).

fof(f908,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl20_2 ),
    inference(forward_demodulation,[],[f675,f97]) ).

fof(f982,plain,
    ( sP3(multiply(sk_c8,sk_c8))
    | ~ spl20_24 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f980,plain,
    ( spl20_24
  <=> sP3(multiply(sk_c8,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).

fof(f987,plain,
    ( spl20_24
    | spl20_25
    | ~ spl20_8
    | ~ spl20_16 ),
    inference(avatar_split_clause,[],[f967,f180,f125,f984,f980]) ).

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

fof(f967,plain,
    ( sP2(sk_c6)
    | sP3(multiply(sk_c8,sk_c8))
    | ~ spl20_8
    | ~ spl20_16 ),
    inference(superposition,[],[f181,f958]) ).

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

fof(f951,plain,
    ( ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f950]) ).

fof(f950,plain,
    ( $false
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f949,f36]) ).

fof(f949,plain,
    ( sP1(sk_c7)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f948,f768]) ).

fof(f768,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(f948,plain,
    ( sP1(multiply(sk_c8,sk_c5))
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f947,f766]) ).

fof(f947,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f944,f35]) ).

fof(f944,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(superposition,[],[f184,f765]) ).

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(f923,plain,
    ( ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(avatar_contradiction_clause,[],[f922]) ).

fof(f922,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f921,f38]) ).

fof(f921,plain,
    ( sP3(sk_c7)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f920,f909]) ).

fof(f920,plain,
    ( sP3(multiply(sk_c3,sk_c8))
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f918,f37]) ).

fof(f918,plain,
    ( sP2(sk_c8)
    | sP3(multiply(sk_c3,sk_c8))
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(superposition,[],[f181,f189]) ).

fof(f189,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(f861,plain,
    ( spl20_20
    | spl20_21
    | ~ spl20_17 ),
    inference(avatar_split_clause,[],[f851,f183,f858,f854]) ).

fof(f851,plain,
    ( sP0(sF18)
    | sP1(multiply(sk_c8,multiply(sk_c1,sk_c8)))
    | ~ spl20_17 ),
    inference(superposition,[],[f184,f74]) ).

fof(f645,plain,
    ( ~ spl20_2
    | ~ spl20_15 ),
    inference(avatar_contradiction_clause,[],[f644]) ).

fof(f644,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_15 ),
    inference(subsumption_resolution,[],[f643,f39]) ).

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

fof(f643,plain,
    ( sP4(sk_c6)
    | ~ spl20_2
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f178,f97]) ).

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(f632,plain,
    ( ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f631]) ).

fof(f631,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f630,f586]) ).

fof(f586,plain,
    ( ~ sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f36,f572]) ).

fof(f572,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f504,f566]) ).

fof(f566,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f565,f482]) ).

fof(f482,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f480,f448]) ).

fof(f448,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f403,f127]) ).

fof(f480,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f204,f472]) ).

fof(f472,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(superposition,[],[f448,f211]) ).

fof(f211,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(f204,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3 ),
    inference(superposition,[],[f3,f190]) ).

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

fof(f565,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f483,f561]) ).

fof(f561,plain,
    ( sk_c7 = sk_c2
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f559,f504]) ).

fof(f559,plain,
    ( sk_c2 = multiply(sk_c8,sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(superposition,[],[f488,f411]) ).

fof(f411,plain,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f67,f137]) ).

fof(f488,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f463,f483]) ).

fof(f463,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f462,f1]) ).

fof(f462,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl20_10 ),
    inference(superposition,[],[f3,f408]) ).

fof(f408,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f195,f147]) ).

fof(f483,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f407,f482]) ).

fof(f504,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f492,f498]) ).

fof(f498,plain,
    ( identity = sk_c7
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f497,f492]) ).

fof(f497,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f481,f485]) ).

fof(f485,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f452,f482]) ).

fof(f481,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f190,f472]) ).

fof(f492,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f449,f485]) ).

fof(f449,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f192,f127]) ).

fof(f630,plain,
    ( sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f629,f566]) ).

fof(f629,plain,
    ( sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f628,f35]) ).

fof(f628,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(superposition,[],[f626,f596]) ).

fof(f596,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f582,f572]) ).

fof(f582,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f563,f573]) ).

fof(f573,plain,
    ( sk_c7 = sk_c1
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f503,f566]) ).

fof(f503,plain,
    ( sk_c7 = multiply(sk_c8,sk_c1)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f490,f498]) ).

fof(f490,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f408,f483]) ).

fof(f563,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f409,f561]) ).

fof(f409,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f74,f147]) ).

fof(f626,plain,
    ( ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(X7,sk_c8)) )
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f184,f566]) ).

fof(f455,plain,
    ( ~ spl20_8
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f454]) ).

fof(f454,plain,
    ( $false
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f42,f451]) ).

fof(f451,plain,
    ( sP7(sk_c6)
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(backward_demodulation,[],[f171,f127]) ).

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

fof(f444,plain,
    ( ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f442,f41]) ).

fof(f41,plain,
    ~ sP6(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f442,plain,
    ( sP6(sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f441,f411]) ).

fof(f441,plain,
    ( sP6(multiply(sk_c1,sk_c2))
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f440,f40]) ).

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

fof(f440,plain,
    ( sP5(sk_c8)
    | sP6(multiply(sk_c1,sk_c2))
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f430,f406]) ).

fof(f430,plain,
    ( sP5(multiply(sk_c2,sk_c7))
    | sP6(multiply(sk_c1,sk_c2))
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(superposition,[],[f174,f409]) ).

fof(f174,plain,
    ( ! [X3] :
        ( sP5(multiply(inverse(X3),sk_c7))
        | sP6(multiply(X3,inverse(X3))) )
    | ~ spl20_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl20_14
  <=> ! [X3] :
        ( sP5(multiply(inverse(X3),sk_c7))
        | sP6(multiply(X3,inverse(X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).

fof(f402,plain,
    ( ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f400,f41]) ).

fof(f400,plain,
    ( sP6(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f399,f366]) ).

fof(f366,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f60,f363]) ).

fof(f363,plain,
    ( sk_c8 = sF16
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f361,f60]) ).

fof(f361,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f332,f356]) ).

fof(f356,plain,
    ( identity = sk_c8
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f192,f355]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sF16,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f354,f1]) ).

fof(f354,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF16,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f353,f314]) ).

fof(f314,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f310,f241]) ).

fof(f241,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f202,f233]) ).

fof(f233,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f231,f188]) ).

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

fof(f231,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(superposition,[],[f212,f187]) ).

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

fof(f212,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(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(f202,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl20_5 ),
    inference(superposition,[],[f3,f188]) ).

fof(f310,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f212,f307]) ).

fof(f307,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f264,f298]) ).

fof(f298,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(superposition,[],[f242,f211]) ).

fof(f242,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f204,f233]) ).

fof(f264,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl20_4
    | ~ spl20_6 ),
    inference(superposition,[],[f205,f211]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl20_6 ),
    inference(superposition,[],[f3,f187]) ).

fof(f332,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f189,f318]) ).

fof(f318,plain,
    ( identity = sk_c3
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f193,f314]) ).

fof(f399,plain,
    ( sP6(inverse(sk_c8))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f398,f314]) ).

fof(f398,plain,
    ( sP6(multiply(sk_c8,inverse(sk_c8)))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f383,f40]) ).

fof(f383,plain,
    ( sP5(sk_c8)
    | sP6(multiply(sk_c8,inverse(sk_c8)))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(superposition,[],[f369,f358]) ).

fof(f358,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c8
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f2,f356]) ).

fof(f369,plain,
    ( ! [X3] :
        ( sP5(multiply(inverse(X3),sk_c8))
        | sP6(multiply(X3,inverse(X3))) )
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f174,f233]) ).

fof(f368,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f367]) ).

fof(f367,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f365,f221]) ).

fof(f221,plain,
    ( ~ sP7(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f42,f219]) ).

fof(f219,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f217,f191]) ).

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

fof(f217,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(superposition,[],[f211,f190]) ).

fof(f365,plain,
    ( sP7(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(backward_demodulation,[],[f171,f363]) ).

fof(f259,plain,
    ( ~ spl20_12
    | ~ spl20_1 ),
    inference(avatar_split_clause,[],[f256,f91,f165]) ).

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

fof(f256,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(f250,plain,
    ( spl20_1
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(avatar_split_clause,[],[f249,f120,f115,f110,f105,f100,f95,f91]) ).

fof(f249,plain,
    ( sk_c8 = sF10
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f245,f244]) ).

fof(f244,plain,
    ( sF10 = multiply(sk_c8,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f222,f233]) ).

fof(f222,plain,
    ( sF10 = multiply(sk_c7,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f48,f219]) ).

fof(f245,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f224,f233]) ).

fof(f224,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f191,f219]) ).

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,
    ! [X3,X7,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(sF9)
      | sP5(multiply(inverse(X3),sk_c7))
      | sP6(multiply(X3,inverse(X3)))
      | sP7(sF16)
      | sP8(sk_c8) ),
    inference(definition_folding,[],[f46,f60,f47]) ).

fof(f46,plain,
    ! [X3,X7,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(multiply(inverse(X3),sk_c7))
      | sP6(multiply(X3,inverse(X3)))
      | 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(multiply(X4,sk_c7))
      | inverse(X3) != X4
      | sP6(multiply(X3,X4))
      | 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(multiply(X4,sk_c7))
      | inverse(X3) != X4
      | sP6(multiply(X3,X4))
      | 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 != multiply(X4,sk_c7)
      | inverse(X3) != X4
      | sk_c8 != multiply(X3,X4)
      | sk_c6 != inverse(sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

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

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

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

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

fof(f72,plain,
    ( sk_c5 = sF14
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f20,f67,f56]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

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

fof(f71,plain,
    ( sk_c7 = sF13
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f19,f67,f54]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

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

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

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

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

fof(f69,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f17,f67,f50]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

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

fof(f68,plain,
    ( sk_c6 = sF9
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f16,f67,f47]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP357-1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 04:45:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.75  % (22493)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.75  % (22486)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.75  % (22493)Refutation not found, incomplete strategy% (22493)------------------------------
% 0.56/0.75  % (22493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22493)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22493)Memory used [KB]: 991
% 0.56/0.75  % (22493)Time elapsed: 0.002 s
% 0.56/0.75  % (22493)Instructions burned: 4 (million)
% 0.56/0.75  % (22488)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.75  % (22487)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.75  % (22489)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.75  % (22490)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.75  % (22491)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.75  % (22493)------------------------------
% 0.56/0.75  % (22493)------------------------------
% 0.56/0.75  % (22492)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.75  % (22486)Refutation not found, incomplete strategy% (22486)------------------------------
% 0.56/0.75  % (22486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22489)Refutation not found, incomplete strategy% (22489)------------------------------
% 0.56/0.75  % (22489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22489)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22489)Memory used [KB]: 988
% 0.56/0.75  % (22489)Time elapsed: 0.003 s
% 0.56/0.75  % (22489)Instructions burned: 4 (million)
% 0.56/0.75  % (22486)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22486)Memory used [KB]: 1006
% 0.56/0.75  % (22486)Time elapsed: 0.004 s
% 0.56/0.75  % (22486)Instructions burned: 4 (million)
% 0.56/0.75  % (22490)Refutation not found, incomplete strategy% (22490)------------------------------
% 0.56/0.75  % (22490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22490)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22490)Memory used [KB]: 1005
% 0.56/0.75  % (22490)Time elapsed: 0.004 s
% 0.56/0.75  % (22489)------------------------------
% 0.56/0.75  % (22489)------------------------------
% 0.56/0.75  % (22490)Instructions burned: 4 (million)
% 0.56/0.75  % (22486)------------------------------
% 0.56/0.75  % (22486)------------------------------
% 0.56/0.75  % (22490)------------------------------
% 0.56/0.75  % (22490)------------------------------
% 0.56/0.75  % (22494)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.75  % (22488)Refutation not found, incomplete strategy% (22488)------------------------------
% 0.56/0.75  % (22488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22488)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22488)Memory used [KB]: 1068
% 0.56/0.75  % (22488)Time elapsed: 0.005 s
% 0.56/0.75  % (22488)Instructions burned: 6 (million)
% 0.56/0.75  % (22488)------------------------------
% 0.56/0.75  % (22488)------------------------------
% 0.56/0.75  % (22492)Refutation not found, incomplete strategy% (22492)------------------------------
% 0.56/0.75  % (22492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22492)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22492)Memory used [KB]: 1083
% 0.56/0.75  % (22492)Time elapsed: 0.006 s
% 0.56/0.75  % (22492)Instructions burned: 7 (million)
% 0.56/0.75  % (22492)------------------------------
% 0.56/0.75  % (22492)------------------------------
% 0.56/0.75  % (22494)Refutation not found, incomplete strategy% (22494)------------------------------
% 0.56/0.75  % (22494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (22494)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (22494)Memory used [KB]: 1078
% 0.56/0.75  % (22494)Time elapsed: 0.003 s
% 0.56/0.75  % (22494)Instructions burned: 7 (million)
% 0.56/0.75  % (22494)------------------------------
% 0.56/0.75  % (22494)------------------------------
% 0.56/0.75  % (22496)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.75  % (22495)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 theBenchmark for (2996ds/50Mi)
% 0.56/0.75  % (22497)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 theBenchmark for (2996ds/52Mi)
% 0.56/0.76  % (22500)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 theBenchmark for (2996ds/243Mi)
% 0.56/0.76  % (22498)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 theBenchmark for (2996ds/518Mi)
% 0.56/0.76  % (22499)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 theBenchmark for (2996ds/42Mi)
% 0.56/0.76  % (22495)Refutation not found, incomplete strategy% (22495)------------------------------
% 0.56/0.76  % (22495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (22495)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (22495)Memory used [KB]: 999
% 0.56/0.76  % (22495)Time elapsed: 0.004 s
% 0.56/0.76  % (22495)Instructions burned: 5 (million)
% 0.56/0.76  % (22495)------------------------------
% 0.56/0.76  % (22495)------------------------------
% 0.56/0.76  % (22497)Refutation not found, incomplete strategy% (22497)------------------------------
% 0.56/0.76  % (22497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (22497)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (22497)Memory used [KB]: 1068
% 0.56/0.76  % (22497)Time elapsed: 0.005 s
% 0.56/0.76  % (22497)Instructions burned: 6 (million)
% 0.56/0.76  % (22497)------------------------------
% 0.56/0.76  % (22497)------------------------------
% 0.56/0.76  % (22499)Refutation not found, incomplete strategy% (22499)------------------------------
% 0.56/0.76  % (22499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (22499)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (22499)Memory used [KB]: 1012
% 0.56/0.76  % (22499)Time elapsed: 0.003 s
% 0.56/0.76  % (22499)Instructions burned: 4 (million)
% 0.56/0.76  % (22499)------------------------------
% 0.56/0.76  % (22499)------------------------------
% 0.65/0.76  % (22500)Refutation not found, incomplete strategy% (22500)------------------------------
% 0.65/0.76  % (22500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76  % (22500)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (22500)Memory used [KB]: 1102
% 0.65/0.76  % (22500)Time elapsed: 0.005 s
% 0.65/0.76  % (22500)Instructions burned: 14 (million)
% 0.65/0.76  % (22500)------------------------------
% 0.65/0.76  % (22500)------------------------------
% 0.65/0.76  % (22503)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.65/0.76  % (22504)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 theBenchmark for (2996ds/143Mi)
% 0.65/0.76  % (22507)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 theBenchmark for (2996ds/62Mi)
% 0.65/0.76  % (22503)Refutation not found, incomplete strategy% (22503)------------------------------
% 0.65/0.76  % (22503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76  % (22503)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (22503)Memory used [KB]: 992
% 0.65/0.76  % (22503)Time elapsed: 0.003 s
% 0.65/0.76  % (22503)Instructions burned: 4 (million)
% 0.65/0.76  % (22496)Refutation not found, incomplete strategy% (22496)------------------------------
% 0.65/0.76  % (22496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76  % (22496)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (22496)Memory used [KB]: 1127
% 0.65/0.76  % (22496)Time elapsed: 0.012 s
% 0.65/0.76  % (22496)Instructions burned: 18 (million)
% 0.65/0.76  % (22503)------------------------------
% 0.65/0.76  % (22503)------------------------------
% 0.65/0.76  % (22507)Refutation not found, incomplete strategy% (22507)------------------------------
% 0.65/0.76  % (22507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76  % (22507)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (22507)Memory used [KB]: 992
% 0.65/0.76  % (22507)Time elapsed: 0.002 s
% 0.65/0.76  % (22507)Instructions burned: 3 (million)
% 0.65/0.76  % (22496)------------------------------
% 0.65/0.76  % (22496)------------------------------
% 0.65/0.76  % (22507)------------------------------
% 0.65/0.76  % (22507)------------------------------
% 0.65/0.76  % (22505)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 theBenchmark for (2996ds/93Mi)
% 0.65/0.77  % (22504)Refutation not found, incomplete strategy% (22504)------------------------------
% 0.65/0.77  % (22504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (22504)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77  
% 0.65/0.77  % (22504)Memory used [KB]: 1008
% 0.65/0.77  % (22504)Time elapsed: 0.004 s
% 0.65/0.77  % (22504)Instructions burned: 4 (million)
% 0.65/0.77  % (22504)------------------------------
% 0.65/0.77  % (22504)------------------------------
% 0.65/0.77  % (22510)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 theBenchmark for (2996ds/1919Mi)
% 0.65/0.77  % (22509)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 theBenchmark for (2996ds/32Mi)
% 0.65/0.77  % (22511)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 theBenchmark for (2996ds/55Mi)
% 0.65/0.77  % (22510)Refutation not found, incomplete strategy% (22510)------------------------------
% 0.65/0.77  % (22510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (22510)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77  
% 0.65/0.77  % (22510)Memory used [KB]: 1068
% 0.65/0.77  % (22510)Time elapsed: 0.003 s
% 0.65/0.77  % (22510)Instructions burned: 7 (million)
% 0.65/0.77  % (22491)Instruction limit reached!
% 0.65/0.77  % (22491)------------------------------
% 0.65/0.77  % (22491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (22491)Termination reason: Unknown
% 0.65/0.77  % (22491)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (22491)Memory used [KB]: 1636
% 0.65/0.77  % (22510)------------------------------
% 0.65/0.77  % (22510)------------------------------
% 0.65/0.77  % (22491)Time elapsed: 0.023 s
% 0.65/0.77  % (22491)Instructions burned: 46 (million)
% 0.65/0.77  % (22491)------------------------------
% 0.65/0.77  % (22491)------------------------------
% 0.65/0.77  % (22513)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 theBenchmark for (2996ds/53Mi)
% 0.65/0.77  % (22511)Refutation not found, incomplete strategy% (22511)------------------------------
% 0.65/0.77  % (22511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (22511)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77  
% 0.65/0.77  % (22511)Memory used [KB]: 1009
% 0.65/0.77  % (22511)Time elapsed: 0.004 s
% 0.65/0.77  % (22511)Instructions burned: 4 (million)
% 0.65/0.77  % (22511)------------------------------
% 0.65/0.77  % (22511)------------------------------
% 0.65/0.77  % (22515)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 theBenchmark for (2996ds/46Mi)
% 0.65/0.77  % (22515)Refutation not found, incomplete strategy% (22515)------------------------------
% 0.65/0.77  % (22515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (22515)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77  
% 0.65/0.77  % (22515)Memory used [KB]: 995
% 0.65/0.77  % (22515)Time elapsed: 0.002 s
% 0.65/0.77  % (22515)Instructions burned: 3 (million)
% 0.65/0.77  % (22515)------------------------------
% 0.65/0.77  % (22515)------------------------------
% 0.65/0.77  % (22516)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 theBenchmark for (2996ds/102Mi)
% 0.65/0.77  % (22487)Instruction limit reached!
% 0.65/0.77  % (22487)------------------------------
% 0.65/0.77  % (22487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (22487)Termination reason: Unknown
% 0.65/0.77  % (22487)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (22487)Memory used [KB]: 1665
% 0.65/0.77  % (22487)Time elapsed: 0.028 s
% 0.65/0.77  % (22487)Instructions burned: 52 (million)
% 0.65/0.77  % (22487)------------------------------
% 0.65/0.77  % (22487)------------------------------
% 0.65/0.78  % (22520)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.65/0.78  % (22519)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 theBenchmark for (2995ds/35Mi)
% 0.65/0.78  % (22516)Refutation not found, incomplete strategy% (22516)------------------------------
% 0.65/0.78  % (22516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78  % (22516)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.78  
% 0.65/0.78  % (22516)Memory used [KB]: 1084
% 0.65/0.78  % (22516)Time elapsed: 0.006 s
% 0.65/0.78  % (22516)Instructions burned: 8 (million)
% 0.65/0.78  % (22522)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 theBenchmark for (2995ds/109Mi)
% 0.65/0.78  % (22516)------------------------------
% 0.65/0.78  % (22516)------------------------------
% 0.65/0.78  % (22525)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 theBenchmark for (2995ds/161Mi)
% 0.65/0.78  % (22525)Refutation not found, incomplete strategy% (22525)------------------------------
% 0.65/0.78  % (22525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78  % (22525)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.78  
% 0.65/0.78  % (22525)Memory used [KB]: 987
% 0.65/0.78  % (22525)Time elapsed: 0.003 s
% 0.65/0.78  % (22525)Instructions burned: 4 (million)
% 0.65/0.79  % (22525)------------------------------
% 0.65/0.79  % (22525)------------------------------
% 0.65/0.79  % (22509)Instruction limit reached!
% 0.65/0.79  % (22509)------------------------------
% 0.65/0.79  % (22509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (22509)Termination reason: Unknown
% 0.65/0.79  % (22509)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (22509)Memory used [KB]: 1451
% 0.65/0.79  % (22509)Time elapsed: 0.019 s
% 0.65/0.79  % (22509)Instructions burned: 33 (million)
% 0.65/0.79  % (22509)------------------------------
% 0.65/0.79  % (22509)------------------------------
% 0.65/0.79  % (22526)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 theBenchmark for (2995ds/69Mi)
% 0.65/0.79  % (22527)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 theBenchmark for (2995ds/40Mi)
% 0.65/0.79  % (22526)Refutation not found, incomplete strategy% (22526)------------------------------
% 0.65/0.79  % (22526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (22526)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.79  
% 0.65/0.79  % (22526)Memory used [KB]: 1009
% 0.65/0.79  % (22526)Time elapsed: 0.026 s
% 0.65/0.79  % (22526)Instructions burned: 4 (million)
% 0.65/0.79  % (22526)------------------------------
% 0.65/0.79  % (22526)------------------------------
% 0.65/0.79  % (22519)Instruction limit reached!
% 0.65/0.79  % (22519)------------------------------
% 0.65/0.79  % (22519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (22519)Termination reason: Unknown
% 0.65/0.79  % (22519)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (22519)Memory used [KB]: 1174
% 0.65/0.79  % (22519)Time elapsed: 0.019 s
% 0.65/0.79  % (22519)Instructions burned: 36 (million)
% 0.65/0.79  % (22519)------------------------------
% 0.65/0.79  % (22519)------------------------------
% 0.65/0.79  % (22513)Instruction limit reached!
% 0.65/0.79  % (22513)------------------------------
% 0.65/0.79  % (22513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (22513)Termination reason: Unknown
% 0.65/0.79  % (22513)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (22513)Memory used [KB]: 1184
% 0.65/0.79  % (22513)Time elapsed: 0.026 s
% 0.65/0.79  % (22513)Instructions burned: 53 (million)
% 0.65/0.79  % (22513)------------------------------
% 0.65/0.79  % (22513)------------------------------
% 0.65/0.80  % (22529)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 theBenchmark for (2995ds/360Mi)
% 0.65/0.80  % (22530)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 theBenchmark for (2995ds/161Mi)
% 0.65/0.80  % (22520)Instruction limit reached!
% 0.65/0.80  % (22520)------------------------------
% 0.65/0.80  % (22520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (22520)Termination reason: Unknown
% 0.65/0.80  % (22520)Termination phase: Saturation
% 0.65/0.80  
% 0.65/0.80  % (22520)Memory used [KB]: 1448
% 0.65/0.80  % (22520)Time elapsed: 0.044 s
% 0.65/0.80  % (22520)Instructions burned: 88 (million)
% 0.65/0.80  % (22520)------------------------------
% 0.65/0.80  % (22520)------------------------------
% 0.65/0.80  % (22531)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 0.65/0.80  % (22532)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 theBenchmark for (2995ds/37Mi)
% 0.65/0.80  % (22527)Refutation not found, incomplete strategy% (22527)------------------------------
% 0.65/0.80  % (22527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (22527)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80  
% 0.65/0.80  % (22527)Memory used [KB]: 1267
% 0.65/0.80  % (22527)Time elapsed: 0.036 s
% 0.65/0.80  % (22527)Instructions burned: 20 (million)
% 0.65/0.80  % (22527)------------------------------
% 0.65/0.80  % (22527)------------------------------
% 0.65/0.81  % (22533)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 theBenchmark for (2995ds/55Mi)
% 0.65/0.81  % (22505)Instruction limit reached!
% 0.65/0.81  % (22505)------------------------------
% 0.65/0.81  % (22505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (22533)Refutation not found, incomplete strategy% (22533)------------------------------
% 0.65/0.81  % (22533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (22533)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (22533)Memory used [KB]: 1087
% 0.65/0.81  % (22533)Time elapsed: 0.006 s
% 0.65/0.81  % (22533)Instructions burned: 7 (million)
% 0.65/0.81  % (22505)Termination reason: Unknown
% 0.65/0.81  % (22505)Termination phase: Saturation
% 0.65/0.81  
% 0.65/0.81  % (22505)Memory used [KB]: 2233
% 0.65/0.81  % (22505)Time elapsed: 0.048 s
% 0.65/0.81  % (22505)Instructions burned: 94 (million)
% 0.65/0.81  % (22505)------------------------------
% 0.65/0.81  % (22505)------------------------------
% 0.65/0.81  % (22533)------------------------------
% 0.65/0.81  % (22533)------------------------------
% 0.65/0.81  % (22532)Instruction limit reached!
% 0.65/0.81  % (22532)------------------------------
% 0.65/0.81  % (22532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (22532)Termination reason: Unknown
% 0.65/0.81  % (22532)Termination phase: Saturation
% 0.65/0.81  
% 0.65/0.81  % (22532)Memory used [KB]: 1551
% 0.65/0.81  % (22532)Time elapsed: 0.013 s
% 0.65/0.81  % (22532)Instructions burned: 37 (million)
% 0.65/0.81  % (22532)------------------------------
% 0.65/0.81  % (22532)------------------------------
% 0.65/0.81  % (22536)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2995ds/132Mi)
% 0.65/0.82  % (22534)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 theBenchmark for (2995ds/47Mi)
% 0.65/0.82  % (22535)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2995ds/32Mi)
% 0.65/0.82  % (22536)Refutation not found, incomplete strategy% (22536)------------------------------
% 0.65/0.82  % (22536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (22536)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (22536)Memory used [KB]: 974
% 0.65/0.82  % (22536)Time elapsed: 0.002 s
% 0.65/0.82  % (22536)Instructions burned: 4 (million)
% 0.65/0.82  % (22536)------------------------------
% 0.65/0.82  % (22536)------------------------------
% 0.65/0.82  % (22535)Refutation not found, incomplete strategy% (22535)------------------------------
% 0.65/0.82  % (22535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (22535)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (22535)Memory used [KB]: 991
% 0.65/0.82  % (22535)Time elapsed: 0.004 s
% 0.65/0.82  % (22535)Instructions burned: 4 (million)
% 0.65/0.82  % (22535)------------------------------
% 0.65/0.82  % (22535)------------------------------
% 0.65/0.82  % (22537)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2995ds/54Mi)
% 0.65/0.82  % (22537)Refutation not found, incomplete strategy% (22537)------------------------------
% 0.65/0.82  % (22537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (22537)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (22537)Memory used [KB]: 995
% 0.65/0.82  % (22537)Time elapsed: 0.002 s
% 0.65/0.82  % (22537)Instructions burned: 4 (million)
% 0.65/0.82  % (22537)------------------------------
% 0.65/0.82  % (22537)------------------------------
% 0.65/0.82  % (22538)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2995ds/82Mi)
% 0.65/0.82  % (22539)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2995ds/119Mi)
% 0.65/0.83  % (22531)Instruction limit reached!
% 0.65/0.83  % (22531)------------------------------
% 0.65/0.83  % (22531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (22531)Termination reason: Unknown
% 0.65/0.83  % (22531)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (22531)Memory used [KB]: 1342
% 0.65/0.83  % (22531)Time elapsed: 0.038 s
% 0.65/0.83  % (22531)Instructions burned: 81 (million)
% 0.65/0.83  % (22531)------------------------------
% 0.65/0.83  % (22531)------------------------------
% 0.65/0.84  % (22541)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2995ds/177Mi)
% 0.65/0.84  % (22522)Instruction limit reached!
% 0.65/0.84  % (22522)------------------------------
% 0.65/0.84  % (22522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (22522)Termination reason: Unknown
% 0.65/0.84  % (22522)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (22522)Memory used [KB]: 2510
% 0.65/0.84  % (22522)Time elapsed: 0.085 s
% 0.65/0.84  % (22522)Instructions burned: 110 (million)
% 0.65/0.84  % (22522)------------------------------
% 0.65/0.84  % (22522)------------------------------
% 0.65/0.84  % (22534)Instruction limit reached!
% 0.65/0.84  % (22534)------------------------------
% 0.65/0.84  % (22534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (22534)Termination reason: Unknown
% 0.65/0.84  % (22534)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (22534)Memory used [KB]: 1567
% 0.65/0.84  % (22534)Time elapsed: 0.028 s
% 0.65/0.84  % (22534)Instructions burned: 48 (million)
% 0.65/0.84  % (22534)------------------------------
% 0.65/0.84  % (22534)------------------------------
% 0.65/0.85  % (22543)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on theBenchmark for (2995ds/117Mi)
% 0.65/0.85  % (22544)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on theBenchmark for (2995ds/49Mi)
% 0.65/0.85  % (22529)First to succeed.
% 0.65/0.85  % (22529)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22482"
% 0.65/0.85  % (22529)Refutation found. Thanks to Tanya!
% 0.65/0.85  % SZS status Unsatisfiable for theBenchmark
% 0.65/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.85  % (22529)------------------------------
% 0.65/0.85  % (22529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (22529)Termination reason: Refutation
% 0.65/0.85  
% 0.65/0.85  % (22529)Memory used [KB]: 1503
% 0.65/0.85  % (22529)Time elapsed: 0.057 s
% 0.65/0.85  % (22529)Instructions burned: 95 (million)
% 0.65/0.85  % (22482)Success in time 0.492 s
% 0.65/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------