TSTP Solution File: GRP378-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP378-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:28:45 EDT 2024

% Result   : Unsatisfiable 1.03s 0.92s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :  103
% Syntax   : Number of formulae    :  515 (  36 unt;   0 def)
%            Number of atoms       : 2159 ( 474 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives : 3085 (1441   ~;1617   |;   0   &)
%                                         (  27 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   39 (  37 usr;  28 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  27 con; 0-2 aty)
%            Number of variables   :  130 ( 130   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2064,plain,
    $false,
    inference(avatar_sat_refutation,[],[f144,f149,f154,f159,f164,f169,f174,f179,f184,f189,f194,f195,f196,f197,f198,f199,f200,f202,f203,f208,f209,f211,f212,f213,f214,f215,f216,f217,f222,f223,f225,f226,f227,f228,f229,f230,f231,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f266,f470,f491,f527,f533,f542,f549,f603,f619,f678,f782,f1139,f1144,f1154,f1658,f1683,f1691,f1714,f1831,f1923,f1927,f1930,f1936,f2063]) ).

fof(f2063,plain,
    ( ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_21 ),
    inference(avatar_contradiction_clause,[],[f2062]) ).

fof(f2062,plain,
    ( $false
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f2061,f1947]) ).

fof(f1947,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl25_9 ),
    inference(backward_demodulation,[],[f84,f178]) ).

fof(f178,plain,
    ( sk_c6 = sF18
    | ~ spl25_9 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl25_9
  <=> sk_c6 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).

fof(f84,plain,
    inverse(sk_c7) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f2061,plain,
    ( inverse(sk_c7) != sk_c6
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f2059,f1944]) ).

fof(f1944,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f86,f183]) ).

fof(f183,plain,
    ( sk_c8 = sF19
    | ~ spl25_10 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl25_10
  <=> sk_c8 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).

fof(f86,plain,
    inverse(sk_c6) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f2059,plain,
    ( sk_c8 != inverse(sk_c6)
    | inverse(sk_c7) != sk_c6
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_11
    | ~ spl25_21 ),
    inference(superposition,[],[f2039,f1941]) ).

fof(f1941,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f88,f188]) ).

fof(f188,plain,
    ( sk_c6 = sF20
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl25_11
  <=> sk_c6 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f88,plain,
    multiply(sk_c7,sk_c8) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f2039,plain,
    ( ! [X0] :
        ( sk_c8 != inverse(multiply(X0,sk_c8))
        | inverse(X0) != multiply(X0,sk_c8) )
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f2038,f56]) ).

fof(f56,plain,
    ~ sP1(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f2038,plain,
    ( ! [X0] :
        ( sP1(sk_c11)
        | sk_c8 != inverse(multiply(X0,sk_c8))
        | inverse(X0) != multiply(X0,sk_c8) )
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2037,f272]) ).

fof(f272,plain,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | ~ spl25_6 ),
    inference(backward_demodulation,[],[f78,f163]) ).

fof(f163,plain,
    ( sk_c11 = sF15
    | ~ spl25_6 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl25_6
  <=> sk_c11 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).

fof(f78,plain,
    multiply(sk_c5,sk_c8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f2037,plain,
    ( ! [X0] :
        ( sP1(multiply(sk_c5,sk_c8))
        | sk_c8 != inverse(multiply(X0,sk_c8))
        | inverse(X0) != multiply(X0,sk_c8) )
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f2036,f55]) ).

fof(f55,plain,
    ~ sP0(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f2036,plain,
    ( ! [X0] :
        ( sP0(sk_c11)
        | sP1(multiply(sk_c5,sk_c8))
        | sk_c8 != inverse(multiply(X0,sk_c8))
        | inverse(X0) != multiply(X0,sk_c8) )
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2019,f1948]) ).

fof(f1948,plain,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f82,f173]) ).

fof(f173,plain,
    ( sk_c11 = sF17
    | ~ spl25_8 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl25_8
  <=> sk_c11 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).

fof(f82,plain,
    multiply(sk_c8,sk_c10) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f2019,plain,
    ( ! [X0] :
        ( sP0(multiply(sk_c8,sk_c10))
        | sP1(multiply(sk_c5,sk_c8))
        | sk_c8 != inverse(multiply(X0,sk_c8))
        | inverse(X0) != multiply(X0,sk_c8) )
    | ~ spl25_7
    | ~ spl25_21 ),
    inference(superposition,[],[f265,f1950]) ).

fof(f1950,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f80,f168]) ).

fof(f168,plain,
    ( sk_c8 = sF16
    | ~ spl25_7 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl25_7
  <=> sk_c8 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).

fof(f80,plain,
    inverse(sk_c5) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f265,plain,
    ( ! [X9,X7] :
        ( sP0(multiply(inverse(X7),sk_c10))
        | sP1(multiply(X7,inverse(X7)))
        | inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl25_21 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl25_21
  <=> ! [X9,X7] :
        ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | sP1(multiply(X7,inverse(X7)))
        | sP0(multiply(inverse(X7),sk_c10))
        | inverse(X9) != multiply(X9,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).

fof(f1936,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f1935]) ).

fof(f1935,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f1934,f1661]) ).

fof(f1661,plain,
    ( ~ sP8(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f63,f1649]) ).

fof(f1649,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f700,f1641]) ).

fof(f1641,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1634,f1635]) ).

fof(f1635,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f788,f1625]) ).

fof(f1625,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1,f1624]) ).

fof(f1624,plain,
    ( identity = sk_c11
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1622,f677]) ).

fof(f677,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f277,f139]) ).

fof(f139,plain,
    ( sk_c10 = sF11
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl25_1
  <=> sk_c10 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f277,plain,
    identity = multiply(sF11,sk_c11),
    inference(superposition,[],[f2,f70]) ).

fof(f70,plain,
    inverse(sk_c11) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',left_inverse) ).

fof(f1622,plain,
    ( sk_c11 = multiply(sk_c10,sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f788,f1466]) ).

fof(f1466,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1324,f679]) ).

fof(f679,plain,
    ( sk_c11 = multiply(sk_c1,sk_c2)
    | ~ spl25_13 ),
    inference(forward_demodulation,[],[f101,f207]) ).

fof(f207,plain,
    ( sk_c11 = sF22
    | ~ spl25_13 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl25_13
  <=> sk_c11 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).

fof(f101,plain,
    multiply(sk_c1,sk_c2) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f1324,plain,
    ( multiply(sk_c1,sk_c2) = multiply(sk_c11,sk_c11)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f680,f829]) ).

fof(f829,plain,
    ( sk_c2 = multiply(sk_c2,sk_c11)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f786,f679]) ).

fof(f786,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f785,f1]) ).

fof(f785,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl25_14 ),
    inference(superposition,[],[f3,f674]) ).

fof(f674,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f283,f221]) ).

fof(f221,plain,
    ( sk_c2 = sF23
    | ~ spl25_14 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl25_14
  <=> sk_c2 = sF23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).

fof(f283,plain,
    identity = multiply(sF23,sk_c1),
    inference(superposition,[],[f2,f112]) ).

fof(f112,plain,
    inverse(sk_c1) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',associativity) ).

fof(f680,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c2,X0))
    | ~ spl25_13 ),
    inference(forward_demodulation,[],[f293,f207]) ).

fof(f293,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sF22,X0),
    inference(superposition,[],[f3,f101]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',left_identity) ).

fof(f788,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
    | ~ spl25_1 ),
    inference(forward_demodulation,[],[f787,f1]) ).

fof(f787,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c11,X0))
    | ~ spl25_1 ),
    inference(superposition,[],[f3,f677]) ).

fof(f1634,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f725,f1625]) ).

fof(f725,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c10,X0))
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f294,f235]) ).

fof(f235,plain,
    ( sk_c11 = sF24
    | ~ spl25_15 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl25_15
  <=> sk_c11 = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).

fof(f294,plain,
    ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sF24,X0),
    inference(superposition,[],[f3,f123]) ).

fof(f123,plain,
    multiply(sk_c2,sk_c10) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f700,plain,
    ( sk_c11 = multiply(sk_c2,sk_c10)
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f123,f235]) ).

fof(f63,plain,
    ~ sP8(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f1934,plain,
    ( sP8(sk_c11)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f253,f1667]) ).

fof(f1667,plain,
    ( sk_c11 = sF21
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f193,f1649]) ).

fof(f193,plain,
    ( sk_c10 = sF21
    | ~ spl25_12 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f191,plain,
    ( spl25_12
  <=> sk_c10 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).

fof(f253,plain,
    ( sP8(sF21)
    | ~ spl25_17 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl25_17
  <=> sP8(sF21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).

fof(f1930,plain,
    ( ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_25 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_25 ),
    inference(subsumption_resolution,[],[f1928,f59]) ).

fof(f59,plain,
    ~ sP4(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f1928,plain,
    ( sP4(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_25 ),
    inference(forward_demodulation,[],[f541,f1651]) ).

fof(f1651,plain,
    ( sk_c11 = sF23
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f221,f1650]) ).

fof(f1650,plain,
    ( sk_c11 = sk_c2
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f679,f1646]) ).

fof(f1646,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1633,f1641]) ).

fof(f1633,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f680,f1625]) ).

fof(f541,plain,
    ( sP4(sF23)
    | ~ spl25_25 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl25_25
  <=> sP4(sF23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_25])]) ).

fof(f1927,plain,
    ( ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_24 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_24 ),
    inference(subsumption_resolution,[],[f1925,f1660]) ).

fof(f1660,plain,
    ( ~ sP5(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f60,f1649]) ).

fof(f60,plain,
    ~ sP5(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f1925,plain,
    ( sP5(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_24 ),
    inference(forward_demodulation,[],[f1924,f1625]) ).

fof(f1924,plain,
    ( sP5(multiply(sk_c11,sk_c11))
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_24 ),
    inference(forward_demodulation,[],[f537,f1701]) ).

fof(f1701,plain,
    ( sk_c11 = sk_c1
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1700,f1625]) ).

fof(f1700,plain,
    ( sk_c11 = multiply(sk_c11,sk_c1)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1627,f1650]) ).

fof(f1627,plain,
    ( sk_c11 = multiply(sk_c2,sk_c1)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f674,f1624]) ).

fof(f537,plain,
    ( sP5(multiply(sk_c1,sk_c11))
    | ~ spl25_24 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl25_24
  <=> sP5(multiply(sk_c1,sk_c11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_24])]) ).

fof(f1923,plain,
    ( ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f1921,f62]) ).

fof(f62,plain,
    ~ sP7(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f1921,plain,
    ( sP7(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f1920,f1670]) ).

fof(f1670,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f675,f1649]) ).

fof(f675,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f70,f139]) ).

fof(f1920,plain,
    ( sP7(inverse(sk_c11))
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f1919,f1625]) ).

fof(f1919,plain,
    ( sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f1866,f61]) ).

fof(f61,plain,
    ~ sP6(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f1866,plain,
    ( sP6(sk_c11)
    | sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(superposition,[],[f1859,f1626]) ).

fof(f1626,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c11
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f2,f1624]) ).

fof(f1859,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c11))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f256,f1649]) ).

fof(f256,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c10))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_18 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl25_18
  <=> ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c10))
        | sP7(multiply(X3,inverse(X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).

fof(f1831,plain,
    ( ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1830,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f1825,f1670]) ).

fof(f1825,plain,
    ( sk_c11 != inverse(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(duplicate_literal_removal,[],[f1821]) ).

fof(f1821,plain,
    ( sk_c11 != inverse(sk_c11)
    | sk_c11 != inverse(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(superposition,[],[f1750,f1625]) ).

fof(f1750,plain,
    ( ! [X0] :
        ( sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f1749,f56]) ).

fof(f1749,plain,
    ( ! [X0] :
        ( sP1(sk_c11)
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f1748,f1625]) ).

fof(f1748,plain,
    ( ! [X0] :
        ( sk_c11 != inverse(multiply(X0,sk_c11))
        | sP1(multiply(sk_c11,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f1747,f55]) ).

fof(f1747,plain,
    ( ! [X0] :
        ( sP0(sk_c11)
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | sP1(multiply(sk_c11,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f1740,f1625]) ).

fof(f1740,plain,
    ( ! [X0] :
        ( sP0(multiply(sk_c11,sk_c11))
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | sP1(multiply(sk_c11,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(superposition,[],[f1719,f1670]) ).

fof(f1719,plain,
    ( ! [X9,X7] :
        ( sP0(multiply(inverse(X7),sk_c11))
        | inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | sP1(multiply(X7,inverse(X7)))
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f265,f1649]) ).

fof(f1714,plain,
    ( ~ spl25_29
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | spl25_33 ),
    inference(avatar_split_clause,[],[f1713,f820,f233,f219,f205,f191,f137,f774]) ).

fof(f774,plain,
    ( spl25_29
  <=> sP3(sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_29])]) ).

fof(f820,plain,
    ( spl25_33
  <=> sP3(multiply(sk_c10,sk_c9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_33])]) ).

fof(f1713,plain,
    ( ~ sP3(sk_c11)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | spl25_33 ),
    inference(forward_demodulation,[],[f1712,f1625]) ).

fof(f1712,plain,
    ( ~ sP3(multiply(sk_c11,sk_c11))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | spl25_33 ),
    inference(forward_demodulation,[],[f1711,f1649]) ).

fof(f1711,plain,
    ( ~ sP3(multiply(sk_c10,sk_c11))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | spl25_33 ),
    inference(forward_demodulation,[],[f821,f1687]) ).

fof(f1687,plain,
    ( sk_c11 = sk_c9
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1644,f1649]) ).

fof(f1644,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1045,f1635]) ).

fof(f1045,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl25_1
    | ~ spl25_12 ),
    inference(superposition,[],[f788,f755]) ).

fof(f755,plain,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f90,f193]) ).

fof(f90,plain,
    multiply(sk_c11,sk_c9) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f821,plain,
    ( ~ sP3(multiply(sk_c10,sk_c9))
    | spl25_33 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f1691,plain,
    ( ~ spl25_29
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f1688,f233,f219,f205,f191,f137,f774]) ).

fof(f1688,plain,
    ( ~ sP3(sk_c11)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f58,f1687]) ).

fof(f58,plain,
    ~ sP3(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1683,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20
    | spl25_27 ),
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1682,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20
    | spl25_27 ),
    inference(subsumption_resolution,[],[f1681,f1653]) ).

fof(f1653,plain,
    ( ~ sP2(sk_c11)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | spl25_27 ),
    inference(backward_demodulation,[],[f673,f1650]) ).

fof(f673,plain,
    ( ~ sP2(sk_c2)
    | ~ spl25_14
    | spl25_27 ),
    inference(backward_demodulation,[],[f556,f221]) ).

fof(f556,plain,
    ( ~ sP2(sF23)
    | spl25_27 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl25_27
  <=> sP2(sF23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_27])]) ).

fof(f1681,plain,
    ( sP2(sk_c11)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f1674,f1670]) ).

fof(f1674,plain,
    ( sP2(inverse(sk_c11))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(backward_demodulation,[],[f1191,f1649]) ).

fof(f1191,plain,
    ( sP2(inverse(sk_c10))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f1189,f58]) ).

fof(f1189,plain,
    ( sP3(sk_c9)
    | sP2(inverse(sk_c10))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_20 ),
    inference(superposition,[],[f262,f1045]) ).

fof(f262,plain,
    ( ! [X6] :
        ( sP3(multiply(X6,sk_c10))
        | sP2(inverse(X6)) )
    | ~ spl25_20 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl25_20
  <=> ! [X6] :
        ( sP2(inverse(X6))
        | sP3(multiply(X6,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).

fof(f1658,plain,
    ( ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1657,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(subsumption_resolution,[],[f1656,f57]) ).

fof(f57,plain,
    ~ sP2(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1656,plain,
    ( sP2(sk_c10)
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(forward_demodulation,[],[f1654,f675]) ).

fof(f1654,plain,
    ( sP2(inverse(sk_c11))
    | ~ spl25_1
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(backward_demodulation,[],[f781,f1650]) ).

fof(f781,plain,
    ( sP2(inverse(sk_c2))
    | ~ spl25_30 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl25_30
  <=> sP2(inverse(sk_c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_30])]) ).

fof(f1154,plain,
    ( ~ spl25_1
    | spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12
    | ~ spl25_15 ),
    inference(avatar_contradiction_clause,[],[f1153]) ).

fof(f1153,plain,
    ( $false
    | ~ spl25_1
    | spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12
    | ~ spl25_15 ),
    inference(subsumption_resolution,[],[f1152,f1137]) ).

fof(f1137,plain,
    ( sk_c11 != sk_c9
    | ~ spl25_1
    | spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f152,f1135]) ).

fof(f1135,plain,
    ( sk_c11 = sF13
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1131,f1133]) ).

fof(f1133,plain,
    ( ! [X0] : multiply(sF13,X0) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1132,f1049]) ).

fof(f1049,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1,f1048]) ).

fof(f1048,plain,
    ( identity = sk_c11
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1046,f677]) ).

fof(f1046,plain,
    ( sk_c11 = multiply(sk_c10,sk_c11)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(superposition,[],[f788,f363]) ).

fof(f363,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f357,f272]) ).

fof(f357,plain,
    ( multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11)
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(superposition,[],[f290,f337]) ).

fof(f337,plain,
    ( sk_c8 = multiply(sk_c8,sk_c11)
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(superposition,[],[f303,f272]) ).

fof(f303,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f302,f1]) ).

fof(f302,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl25_7 ),
    inference(superposition,[],[f3,f280]) ).

fof(f280,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl25_7 ),
    inference(superposition,[],[f2,f271]) ).

fof(f271,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f80,f168]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl25_6 ),
    inference(superposition,[],[f3,f272]) ).

fof(f1132,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sF13,X0)) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1072,f1080]) ).

fof(f1080,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f700,f1069]) ).

fof(f1069,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1062,f1063]) ).

fof(f1063,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f788,f1049]) ).

fof(f1062,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f725,f1049]) ).

fof(f1072,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sF13,X0)) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f858,f1063]) ).

fof(f858,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sF13,X0))
    | ~ spl25_5 ),
    inference(superposition,[],[f3,f833]) ).

fof(f833,plain,
    ( sk_c10 = multiply(sk_c10,sF13)
    | ~ spl25_5 ),
    inference(superposition,[],[f301,f74]) ).

fof(f74,plain,
    multiply(sk_c4,sk_c10) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f301,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f300,f1]) ).

fof(f300,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl25_5 ),
    inference(superposition,[],[f3,f279]) ).

fof(f279,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl25_5 ),
    inference(superposition,[],[f2,f273]) ).

fof(f273,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f76,f158]) ).

fof(f158,plain,
    ( sk_c10 = sF14
    | ~ spl25_5 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl25_5
  <=> sk_c10 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).

fof(f76,plain,
    inverse(sk_c4) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f1131,plain,
    ( sF13 = multiply(sF13,sk_c11)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1093,f1071]) ).

fof(f1071,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sF13,X0)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f835,f1063]) ).

fof(f835,plain,
    ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sF13,X0),
    inference(superposition,[],[f3,f74]) ).

fof(f1093,plain,
    ( sF13 = multiply(sk_c4,sk_c11)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f74,f1080]) ).

fof(f152,plain,
    ( sk_c9 != sF13
    | spl25_4 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl25_4
  <=> sk_c9 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).

fof(f1152,plain,
    ( sk_c11 = sk_c9
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1068,f1080]) ).

fof(f1068,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f755,f1049]) ).

fof(f1144,plain,
    ( ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_33 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1143,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_33 ),
    inference(subsumption_resolution,[],[f1075,f58]) ).

fof(f1075,plain,
    ( sP3(sk_c9)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_33 ),
    inference(backward_demodulation,[],[f822,f1063]) ).

fof(f822,plain,
    ( sP3(multiply(sk_c10,sk_c9))
    | ~ spl25_33 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f1139,plain,
    ( spl25_29
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(avatar_split_clause,[],[f1138,f261,f233,f166,f161,f156,f137,f774]) ).

fof(f1138,plain,
    ( sP3(sk_c11)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(backward_demodulation,[],[f837,f1135]) ).

fof(f837,plain,
    ( sP3(sF13)
    | ~ spl25_5
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f836,f57]) ).

fof(f836,plain,
    ( sP2(sk_c10)
    | sP3(sF13)
    | ~ spl25_5
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f834,f273]) ).

fof(f834,plain,
    ( sP3(sF13)
    | sP2(inverse(sk_c4))
    | ~ spl25_20 ),
    inference(superposition,[],[f262,f74]) ).

fof(f782,plain,
    ( spl25_30
    | spl25_29
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(avatar_split_clause,[],[f768,f261,f233,f774,f779]) ).

fof(f768,plain,
    ( sP3(sk_c11)
    | sP2(inverse(sk_c2))
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(superposition,[],[f262,f700]) ).

fof(f678,plain,
    ( ~ spl25_16
    | ~ spl25_1 ),
    inference(avatar_split_clause,[],[f676,f137,f247]) ).

fof(f247,plain,
    ( spl25_16
  <=> sP9(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).

fof(f676,plain,
    ( ~ sP9(sk_c10)
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f134,f139]) ).

fof(f134,plain,
    ~ sP9(sF11),
    inference(definition_folding,[],[f64,f70]) ).

fof(f64,plain,
    ~ sP9(inverse(sk_c11)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f619,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_27 ),
    inference(avatar_contradiction_clause,[],[f618]) ).

fof(f618,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_27 ),
    inference(subsumption_resolution,[],[f615,f433]) ).

fof(f433,plain,
    ( ~ sP2(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f57,f432]) ).

fof(f432,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f430,f423]) ).

fof(f423,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f273,f422]) ).

fof(f422,plain,
    ( identity = sk_c4
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f279,f416]) ).

fof(f416,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f407,f410]) ).

fof(f410,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f351,f407]) ).

fof(f351,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(forward_demodulation,[],[f346,f274]) ).

fof(f274,plain,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f74,f153]) ).

fof(f153,plain,
    ( sk_c9 = sF13
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f346,plain,
    ( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(superposition,[],[f289,f318]) ).

fof(f318,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f313,f276]) ).

fof(f276,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl25_2 ),
    inference(backward_demodulation,[],[f69,f143]) ).

fof(f143,plain,
    ( sk_c10 = sF10
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl25_2
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f69,plain,
    multiply(sk_c3,sk_c11) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f313,plain,
    ( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(superposition,[],[f288,f308]) ).

fof(f308,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(superposition,[],[f299,f276]) ).

fof(f299,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f298,f1]) ).

fof(f298,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
    | ~ spl25_3 ),
    inference(superposition,[],[f3,f278]) ).

fof(f278,plain,
    ( identity = multiply(sk_c11,sk_c3)
    | ~ spl25_3 ),
    inference(superposition,[],[f2,f275]) ).

fof(f275,plain,
    ( sk_c11 = inverse(sk_c3)
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f72,f148]) ).

fof(f148,plain,
    ( sk_c11 = sF12
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl25_3
  <=> sk_c11 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).

fof(f72,plain,
    inverse(sk_c3) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
    | ~ spl25_2 ),
    inference(superposition,[],[f3,f276]) ).

fof(f289,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl25_4 ),
    inference(superposition,[],[f3,f274]) ).

fof(f407,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f396,f394]) ).

fof(f394,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f356,f393]) ).

fof(f393,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f384,f356]) ).

fof(f384,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f303,f371]) ).

fof(f371,plain,
    ( sk_c11 = sk_c8
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f369,f337]) ).

fof(f369,plain,
    ( sk_c11 = multiply(sk_c8,sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(superposition,[],[f303,f364]) ).

fof(f364,plain,
    ( sk_c11 = multiply(sk_c5,sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f358,f308]) ).

fof(f358,plain,
    ( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(superposition,[],[f290,f270]) ).

fof(f270,plain,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f82,f173]) ).

fof(f356,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c5,X0))
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(superposition,[],[f290,f303]) ).

fof(f396,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f330,f394]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sk_c11,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f287,f328]) ).

fof(f328,plain,
    ( sk_c11 = sF21
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f326,f308]) ).

fof(f326,plain,
    ( sF21 = multiply(sk_c11,sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(superposition,[],[f299,f324]) ).

fof(f324,plain,
    ( sk_c10 = multiply(sk_c3,sF21)
    | ~ spl25_2
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f315,f322]) ).

fof(f322,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(superposition,[],[f301,f274]) ).

fof(f315,plain,
    ( multiply(sk_c10,sk_c9) = multiply(sk_c3,sF21)
    | ~ spl25_2 ),
    inference(superposition,[],[f288,f90]) ).

fof(f287,plain,
    ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sF21,X0),
    inference(superposition,[],[f3,f90]) ).

fof(f430,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f275,f428]) ).

fof(f428,plain,
    ( identity = sk_c3
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f421,f427]) ).

fof(f427,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f398,f416]) ).

fof(f398,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f288,f394]) ).

fof(f421,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f314,f416]) ).

fof(f314,plain,
    ( multiply(sk_c10,sk_c3) = multiply(sk_c3,identity)
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(superposition,[],[f288,f278]) ).

fof(f615,plain,
    ( sP2(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_27 ),
    inference(backward_demodulation,[],[f589,f613]) ).

fof(f613,plain,
    ( sk_c11 = sk_c2
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f612,f394]) ).

fof(f612,plain,
    ( sk_c11 = multiply(sk_c11,sk_c2)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f588,f207]) ).

fof(f588,plain,
    ( sF22 = multiply(sF22,sk_c2)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f101,f587]) ).

fof(f587,plain,
    ( ! [X0] : multiply(sF22,X0) = multiply(sk_c1,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f293,f586]) ).

fof(f586,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f585,f394]) ).

fof(f585,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f417,f235]) ).

fof(f417,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sF24,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f294,f416]) ).

fof(f589,plain,
    ( sP2(sk_c2)
    | ~ spl25_14
    | ~ spl25_27 ),
    inference(backward_demodulation,[],[f557,f221]) ).

fof(f557,plain,
    ( sP2(sF23)
    | ~ spl25_27 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f603,plain,
    ( spl25_13
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f599,f233,f219,f181,f176,f171,f166,f161,f156,f151,f146,f141,f205]) ).

fof(f599,plain,
    ( sk_c11 = sF22
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f595,f598]) ).

fof(f598,plain,
    ( sk_c11 = sk_c2
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f597,f576]) ).

fof(f576,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f70,f573]) ).

fof(f573,plain,
    ( sk_c11 = sF11
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f570,f70]) ).

fof(f570,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f456,f562]) ).

fof(f562,plain,
    ( sk_c11 = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f561,f456]) ).

fof(f561,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f269,f560]) ).

fof(f560,plain,
    ( sk_c7 = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f451,f483]) ).

fof(f483,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f385,f394]) ).

fof(f385,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f307,f371]) ).

fof(f307,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f306,f1]) ).

fof(f306,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl25_10 ),
    inference(superposition,[],[f3,f282]) ).

fof(f282,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl25_10 ),
    inference(superposition,[],[f2,f268]) ).

fof(f268,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f86,f183]) ).

fof(f451,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f281,f404]) ).

fof(f404,plain,
    ( identity = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f390,f394]) ).

fof(f390,plain,
    ( identity = multiply(sk_c11,sk_c6)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f379,f365]) ).

fof(f365,plain,
    ( multiply(sk_c11,sk_c5) = multiply(sk_c11,sk_c6)
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f360,f359]) ).

fof(f359,plain,
    ( multiply(sk_c11,sk_c5) = multiply(sk_c5,identity)
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(superposition,[],[f290,f280]) ).

fof(f360,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c11,sk_c6)
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(superposition,[],[f290,f282]) ).

fof(f379,plain,
    ( identity = multiply(sk_c11,sk_c5)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f280,f371]) ).

fof(f281,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl25_9 ),
    inference(superposition,[],[f2,f269]) ).

fof(f269,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl25_9 ),
    inference(backward_demodulation,[],[f84,f178]) ).

fof(f456,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f444,f404]) ).

fof(f444,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f423,f432]) ).

fof(f597,plain,
    ( inverse(sk_c11) = sk_c2
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f591,f592]) ).

fof(f592,plain,
    ( sk_c11 = sk_c1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f590,f586]) ).

fof(f590,plain,
    ( sk_c11 = multiply(sk_c2,sk_c1)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f566,f221]) ).

fof(f566,plain,
    ( sk_c11 = multiply(sF23,sk_c1)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f452,f562]) ).

fof(f452,plain,
    ( sk_c6 = multiply(sF23,sk_c1)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f283,f404]) ).

fof(f591,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f112,f221]) ).

fof(f595,plain,
    ( sk_c2 = sF22
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f588,f594]) ).

fof(f594,plain,
    ( ! [X0] : multiply(sF22,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f593,f394]) ).

fof(f593,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sF22,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f587,f592]) ).

fof(f549,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_20 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f548,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f547,f441]) ).

fof(f441,plain,
    ( ~ sP3(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f412,f432]) ).

fof(f412,plain,
    ( ~ sP3(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f58,f410]) ).

fof(f547,plain,
    ( sP3(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f546,f394]) ).

fof(f546,plain,
    ( sP3(multiply(sk_c11,sk_c11))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f544,f433]) ).

fof(f544,plain,
    ( sP2(sk_c11)
    | sP3(multiply(sk_c11,sk_c11))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_20 ),
    inference(superposition,[],[f543,f468]) ).

fof(f468,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f70,f466]) ).

fof(f466,plain,
    ( sk_c11 = sF11
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(forward_demodulation,[],[f463,f70]) ).

fof(f463,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f375,f459]) ).

fof(f459,plain,
    ( sk_c11 = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f406,f448]) ).

fof(f448,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f1,f404]) ).

fof(f406,plain,
    ( sk_c6 = multiply(sk_c6,sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f374,f395]) ).

fof(f395,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f383,f394]) ).

fof(f383,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c11,X0))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f292,f371]) ).

fof(f292,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | ~ spl25_11 ),
    inference(superposition,[],[f3,f267]) ).

fof(f267,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f88,f188]) ).

fof(f374,plain,
    ( sk_c6 = multiply(sk_c7,sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f267,f371]) ).

fof(f375,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f268,f371]) ).

fof(f543,plain,
    ( ! [X6] :
        ( sP2(inverse(X6))
        | sP3(multiply(X6,sk_c11)) )
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f262,f432]) ).

fof(f542,plain,
    ( spl25_24
    | spl25_25
    | ~ spl25_19 ),
    inference(avatar_split_clause,[],[f529,f258,f539,f535]) ).

fof(f258,plain,
    ( spl25_19
  <=> ! [X5] :
        ( sP4(inverse(X5))
        | sP5(multiply(X5,sk_c11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).

fof(f529,plain,
    ( sP4(sF23)
    | sP5(multiply(sk_c1,sk_c11))
    | ~ spl25_19 ),
    inference(superposition,[],[f259,f112]) ).

fof(f259,plain,
    ( ! [X5] :
        ( sP4(inverse(X5))
        | sP5(multiply(X5,sk_c11)) )
    | ~ spl25_19 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f533,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_19 ),
    inference(avatar_contradiction_clause,[],[f532]) ).

fof(f532,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f531,f434]) ).

fof(f434,plain,
    ( ~ sP5(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f60,f432]) ).

fof(f531,plain,
    ( sP5(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_19 ),
    inference(forward_demodulation,[],[f530,f394]) ).

fof(f530,plain,
    ( sP5(multiply(sk_c11,sk_c11))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f528,f59]) ).

fof(f528,plain,
    ( sP4(sk_c11)
    | sP5(multiply(sk_c11,sk_c11))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_19 ),
    inference(superposition,[],[f259,f468]) ).

fof(f527,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f525,f62]) ).

fof(f525,plain,
    ( sP7(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f524,f468]) ).

fof(f524,plain,
    ( sP7(inverse(sk_c11))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f523,f394]) ).

fof(f523,plain,
    ( sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f508,f61]) ).

fof(f508,plain,
    ( sP6(sk_c11)
    | sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(superposition,[],[f493,f471]) ).

fof(f471,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c11
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(forward_demodulation,[],[f449,f459]) ).

fof(f449,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f2,f404]) ).

fof(f493,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c11))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f256,f432]) ).

fof(f491,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f490,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f489,f435]) ).

fof(f435,plain,
    ( ~ sP8(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f63,f432]) ).

fof(f489,plain,
    ( sP8(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f253,f328]) ).

fof(f470,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_16 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_16 ),
    inference(subsumption_resolution,[],[f467,f439]) ).

fof(f439,plain,
    ( sP9(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_16 ),
    inference(backward_demodulation,[],[f249,f432]) ).

fof(f249,plain,
    ( sP9(sk_c10)
    | ~ spl25_16 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f467,plain,
    ( ~ sP9(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f134,f466]) ).

fof(f266,plain,
    ( spl25_16
    | spl25_17
    | spl25_18
    | spl25_19
    | spl25_20
    | spl25_21 ),
    inference(avatar_split_clause,[],[f135,f264,f261,f258,f255,f251,f247]) ).

fof(f135,plain,
    ! [X3,X6,X9,X7,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sP0(multiply(inverse(X7),sk_c10))
      | sP1(multiply(X7,inverse(X7)))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(inverse(X3),sk_c10))
      | sP7(multiply(X3,inverse(X3)))
      | sP8(sF21)
      | sP9(sk_c10) ),
    inference(definition_folding,[],[f68,f90]) ).

fof(f68,plain,
    ! [X3,X6,X9,X7,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sP0(multiply(inverse(X7),sk_c10))
      | sP1(multiply(X7,inverse(X7)))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(inverse(X3),sk_c10))
      | sP7(multiply(X3,inverse(X3)))
      | sP8(multiply(sk_c11,sk_c9))
      | sP9(sk_c10) ),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sP0(multiply(inverse(X7),sk_c10))
      | sP1(multiply(X7,inverse(X7)))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(X4,sk_c10))
      | inverse(X3) != X4
      | sP7(multiply(X3,X4))
      | sP8(multiply(sk_c11,sk_c9))
      | sP9(sk_c10) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( inverse(multiply(X9,X8)) != X8
      | inverse(X9) != multiply(X9,X8)
      | sP0(multiply(X8,sk_c10))
      | inverse(X7) != X8
      | sP1(multiply(X7,X8))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(X4,sk_c10))
      | inverse(X3) != X4
      | sP7(multiply(X3,X4))
      | sP8(multiply(sk_c11,sk_c9))
      | sP9(sk_c10) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( multiply(X9,X8) != X10
      | inverse(X10) != X8
      | inverse(X9) != X10
      | sP0(multiply(X8,sk_c10))
      | inverse(X7) != X8
      | sP1(multiply(X7,X8))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(X4,sk_c10))
      | inverse(X3) != X4
      | sP7(multiply(X3,X4))
      | sP8(multiply(sk_c11,sk_c9))
      | sP9(sk_c10) ),
    inference(inequality_splitting,[],[f54,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).

fof(f54,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( multiply(X9,X8) != X10
      | inverse(X10) != X8
      | inverse(X9) != X10
      | sk_c11 != multiply(X8,sk_c10)
      | inverse(X7) != X8
      | sk_c11 != multiply(X7,X8)
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c11 != multiply(X4,sk_c10)
      | inverse(X3) != X4
      | sk_c11 != multiply(X3,X4)
      | sk_c10 != multiply(sk_c11,sk_c9)
      | inverse(sk_c11) != sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_51) ).

fof(f245,plain,
    ( spl25_15
    | spl25_11 ),
    inference(avatar_split_clause,[],[f133,f186,f233]) ).

fof(f133,plain,
    ( sk_c6 = sF20
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f53,f123,f88]) ).

fof(f53,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_50) ).

fof(f244,plain,
    ( spl25_15
    | spl25_10 ),
    inference(avatar_split_clause,[],[f132,f181,f233]) ).

fof(f132,plain,
    ( sk_c8 = sF19
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f52,f123,f86]) ).

fof(f52,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_49) ).

fof(f243,plain,
    ( spl25_15
    | spl25_9 ),
    inference(avatar_split_clause,[],[f131,f176,f233]) ).

fof(f131,plain,
    ( sk_c6 = sF18
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f51,f123,f84]) ).

fof(f51,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_48) ).

fof(f242,plain,
    ( spl25_15
    | spl25_8 ),
    inference(avatar_split_clause,[],[f130,f171,f233]) ).

fof(f130,plain,
    ( sk_c11 = sF17
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f50,f123,f82]) ).

fof(f50,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_47) ).

fof(f241,plain,
    ( spl25_15
    | spl25_7 ),
    inference(avatar_split_clause,[],[f129,f166,f233]) ).

fof(f129,plain,
    ( sk_c8 = sF16
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f49,f123,f80]) ).

fof(f49,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_46) ).

fof(f240,plain,
    ( spl25_15
    | spl25_6 ),
    inference(avatar_split_clause,[],[f128,f161,f233]) ).

fof(f128,plain,
    ( sk_c11 = sF15
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f48,f123,f78]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_45) ).

fof(f239,plain,
    ( spl25_15
    | spl25_5 ),
    inference(avatar_split_clause,[],[f127,f156,f233]) ).

fof(f127,plain,
    ( sk_c10 = sF14
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f47,f123,f76]) ).

fof(f47,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_44) ).

fof(f238,plain,
    ( spl25_15
    | spl25_4 ),
    inference(avatar_split_clause,[],[f126,f151,f233]) ).

fof(f126,plain,
    ( sk_c9 = sF13
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f46,f123,f74]) ).

fof(f46,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_43) ).

fof(f237,plain,
    ( spl25_15
    | spl25_3 ),
    inference(avatar_split_clause,[],[f125,f146,f233]) ).

fof(f125,plain,
    ( sk_c11 = sF12
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f45,f123,f72]) ).

fof(f45,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_42) ).

fof(f236,plain,
    ( spl25_15
    | spl25_2 ),
    inference(avatar_split_clause,[],[f124,f141,f233]) ).

fof(f124,plain,
    ( sk_c10 = sF10
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f44,f123,f69]) ).

fof(f44,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c11 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_41) ).

fof(f231,plain,
    ( spl25_14
    | spl25_11 ),
    inference(avatar_split_clause,[],[f122,f186,f219]) ).

fof(f122,plain,
    ( sk_c6 = sF20
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f43,f112,f88]) ).

fof(f43,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_40) ).

fof(f230,plain,
    ( spl25_14
    | spl25_10 ),
    inference(avatar_split_clause,[],[f121,f181,f219]) ).

fof(f121,plain,
    ( sk_c8 = sF19
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f42,f112,f86]) ).

fof(f42,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_39) ).

fof(f229,plain,
    ( spl25_14
    | spl25_9 ),
    inference(avatar_split_clause,[],[f120,f176,f219]) ).

fof(f120,plain,
    ( sk_c6 = sF18
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f41,f112,f84]) ).

fof(f41,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_38) ).

fof(f228,plain,
    ( spl25_14
    | spl25_8 ),
    inference(avatar_split_clause,[],[f119,f171,f219]) ).

fof(f119,plain,
    ( sk_c11 = sF17
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f40,f112,f82]) ).

fof(f40,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_37) ).

fof(f227,plain,
    ( spl25_14
    | spl25_7 ),
    inference(avatar_split_clause,[],[f118,f166,f219]) ).

fof(f118,plain,
    ( sk_c8 = sF16
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f39,f112,f80]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_36) ).

fof(f226,plain,
    ( spl25_14
    | spl25_6 ),
    inference(avatar_split_clause,[],[f117,f161,f219]) ).

fof(f117,plain,
    ( sk_c11 = sF15
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f38,f112,f78]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_35) ).

fof(f225,plain,
    ( spl25_14
    | spl25_5 ),
    inference(avatar_split_clause,[],[f116,f156,f219]) ).

fof(f116,plain,
    ( sk_c10 = sF14
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f37,f112,f76]) ).

fof(f37,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_34) ).

fof(f223,plain,
    ( spl25_14
    | spl25_3 ),
    inference(avatar_split_clause,[],[f114,f146,f219]) ).

fof(f114,plain,
    ( sk_c11 = sF12
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f35,f112,f72]) ).

fof(f35,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_32) ).

fof(f222,plain,
    ( spl25_14
    | spl25_2 ),
    inference(avatar_split_clause,[],[f113,f141,f219]) ).

fof(f113,plain,
    ( sk_c10 = sF10
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f34,f112,f69]) ).

fof(f34,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_31) ).

fof(f217,plain,
    ( spl25_13
    | spl25_11 ),
    inference(avatar_split_clause,[],[f111,f186,f205]) ).

fof(f111,plain,
    ( sk_c6 = sF20
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f33,f101,f88]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_30) ).

fof(f216,plain,
    ( spl25_13
    | spl25_10 ),
    inference(avatar_split_clause,[],[f110,f181,f205]) ).

fof(f110,plain,
    ( sk_c8 = sF19
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f32,f101,f86]) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_29) ).

fof(f215,plain,
    ( spl25_13
    | spl25_9 ),
    inference(avatar_split_clause,[],[f109,f176,f205]) ).

fof(f109,plain,
    ( sk_c6 = sF18
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f31,f101,f84]) ).

fof(f31,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_28) ).

fof(f214,plain,
    ( spl25_13
    | spl25_8 ),
    inference(avatar_split_clause,[],[f108,f171,f205]) ).

fof(f108,plain,
    ( sk_c11 = sF17
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f30,f101,f82]) ).

fof(f30,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_27) ).

fof(f213,plain,
    ( spl25_13
    | spl25_7 ),
    inference(avatar_split_clause,[],[f107,f166,f205]) ).

fof(f107,plain,
    ( sk_c8 = sF16
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f29,f101,f80]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_26) ).

fof(f212,plain,
    ( spl25_13
    | spl25_6 ),
    inference(avatar_split_clause,[],[f106,f161,f205]) ).

fof(f106,plain,
    ( sk_c11 = sF15
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f28,f101,f78]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_25) ).

fof(f211,plain,
    ( spl25_13
    | spl25_5 ),
    inference(avatar_split_clause,[],[f105,f156,f205]) ).

fof(f105,plain,
    ( sk_c10 = sF14
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f27,f101,f76]) ).

fof(f27,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_24) ).

fof(f209,plain,
    ( spl25_13
    | spl25_3 ),
    inference(avatar_split_clause,[],[f103,f146,f205]) ).

fof(f103,plain,
    ( sk_c11 = sF12
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f25,f101,f72]) ).

fof(f25,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_22) ).

fof(f208,plain,
    ( spl25_13
    | spl25_2 ),
    inference(avatar_split_clause,[],[f102,f141,f205]) ).

fof(f102,plain,
    ( sk_c10 = sF10
    | sk_c11 = sF22 ),
    inference(definition_folding,[],[f24,f101,f69]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_21) ).

fof(f203,plain,
    ( spl25_12
    | spl25_11 ),
    inference(avatar_split_clause,[],[f100,f186,f191]) ).

fof(f100,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f23,f90,f88]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_20) ).

fof(f202,plain,
    ( spl25_12
    | spl25_10 ),
    inference(avatar_split_clause,[],[f99,f181,f191]) ).

fof(f99,plain,
    ( sk_c8 = sF19
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f22,f90,f86]) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_19) ).

fof(f200,plain,
    ( spl25_12
    | spl25_8 ),
    inference(avatar_split_clause,[],[f97,f171,f191]) ).

fof(f97,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f20,f90,f82]) ).

fof(f20,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_17) ).

fof(f199,plain,
    ( spl25_12
    | spl25_7 ),
    inference(avatar_split_clause,[],[f96,f166,f191]) ).

fof(f96,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f19,f90,f80]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_16) ).

fof(f198,plain,
    ( spl25_12
    | spl25_6 ),
    inference(avatar_split_clause,[],[f95,f161,f191]) ).

fof(f95,plain,
    ( sk_c11 = sF15
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f18,f90,f78]) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_15) ).

fof(f197,plain,
    ( spl25_12
    | spl25_5 ),
    inference(avatar_split_clause,[],[f94,f156,f191]) ).

fof(f94,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f17,f90,f76]) ).

fof(f17,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_14) ).

fof(f196,plain,
    ( spl25_12
    | spl25_4 ),
    inference(avatar_split_clause,[],[f93,f151,f191]) ).

fof(f93,plain,
    ( sk_c9 = sF13
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f16,f90,f74]) ).

fof(f16,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_13) ).

fof(f195,plain,
    ( spl25_12
    | spl25_3 ),
    inference(avatar_split_clause,[],[f92,f146,f191]) ).

fof(f92,plain,
    ( sk_c11 = sF12
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f15,f90,f72]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_12) ).

fof(f194,plain,
    ( spl25_12
    | spl25_2 ),
    inference(avatar_split_clause,[],[f91,f141,f191]) ).

fof(f91,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF21 ),
    inference(definition_folding,[],[f14,f90,f69]) ).

fof(f14,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_11) ).

fof(f189,plain,
    ( spl25_1
    | spl25_11 ),
    inference(avatar_split_clause,[],[f89,f186,f137]) ).

fof(f89,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f13,f70,f88]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_10) ).

fof(f184,plain,
    ( spl25_1
    | spl25_10 ),
    inference(avatar_split_clause,[],[f87,f181,f137]) ).

fof(f87,plain,
    ( sk_c8 = sF19
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f12,f70,f86]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c6)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_9) ).

fof(f179,plain,
    ( spl25_1
    | spl25_9 ),
    inference(avatar_split_clause,[],[f85,f176,f137]) ).

fof(f85,plain,
    ( sk_c6 = sF18
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f11,f70,f84]) ).

fof(f11,axiom,
    ( inverse(sk_c7) = sk_c6
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_8) ).

fof(f174,plain,
    ( spl25_1
    | spl25_8 ),
    inference(avatar_split_clause,[],[f83,f171,f137]) ).

fof(f83,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f10,f70,f82]) ).

fof(f10,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_7) ).

fof(f169,plain,
    ( spl25_1
    | spl25_7 ),
    inference(avatar_split_clause,[],[f81,f166,f137]) ).

fof(f81,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f9,f70,f80]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_6) ).

fof(f164,plain,
    ( spl25_1
    | spl25_6 ),
    inference(avatar_split_clause,[],[f79,f161,f137]) ).

fof(f79,plain,
    ( sk_c11 = sF15
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f8,f70,f78]) ).

fof(f8,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_5) ).

fof(f159,plain,
    ( spl25_1
    | spl25_5 ),
    inference(avatar_split_clause,[],[f77,f156,f137]) ).

fof(f77,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f7,f70,f76]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c4)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_4) ).

fof(f154,plain,
    ( spl25_1
    | spl25_4 ),
    inference(avatar_split_clause,[],[f75,f151,f137]) ).

fof(f75,plain,
    ( sk_c9 = sF13
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f6,f70,f74]) ).

fof(f6,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_3) ).

fof(f149,plain,
    ( spl25_1
    | spl25_3 ),
    inference(avatar_split_clause,[],[f73,f146,f137]) ).

fof(f73,plain,
    ( sk_c11 = sF12
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f5,f70,f72]) ).

fof(f5,axiom,
    ( sk_c11 = inverse(sk_c3)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_2) ).

fof(f144,plain,
    ( spl25_1
    | spl25_2 ),
    inference(avatar_split_clause,[],[f71,f141,f137]) ).

fof(f71,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f4,f70,f69]) ).

fof(f4,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP378-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.12  % 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
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:29:21 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.EzsQVVoITd/Vampire---4.8_13813
% 0.60/0.81  % (13925)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (13928)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81  % (13927)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (13924)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.81  % (13929)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.81  % (13930)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81  % (13923)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (13926)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81  % (13930)Refutation not found, incomplete strategy% (13930)------------------------------
% 0.60/0.81  % (13930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (13930)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (13930)Memory used [KB]: 1078
% 0.60/0.81  % (13930)Time elapsed: 0.004 s
% 0.60/0.81  % (13930)Instructions burned: 5 (million)
% 0.60/0.81  % (13930)------------------------------
% 0.60/0.81  % (13930)------------------------------
% 0.60/0.81  % (13923)Refutation not found, incomplete strategy% (13923)------------------------------
% 0.60/0.81  % (13923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (13923)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (13923)Memory used [KB]: 1077
% 0.60/0.81  % (13923)Time elapsed: 0.003 s
% 0.60/0.81  % (13923)Instructions burned: 5 (million)
% 0.60/0.81  % (13923)------------------------------
% 0.60/0.81  % (13923)------------------------------
% 0.60/0.81  % (13927)Refutation not found, incomplete strategy% (13927)------------------------------
% 0.60/0.81  % (13927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (13927)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (13927)Memory used [KB]: 1095
% 0.60/0.81  % (13927)Time elapsed: 0.004 s
% 0.60/0.81  % (13927)Instructions burned: 6 (million)
% 0.60/0.81  % (13927)------------------------------
% 0.60/0.81  % (13927)------------------------------
% 0.60/0.81  % (13926)Refutation not found, incomplete strategy% (13926)------------------------------
% 0.60/0.81  % (13926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (13926)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (13926)Memory used [KB]: 995
% 0.60/0.81  % (13926)Time elapsed: 0.004 s
% 0.60/0.81  % (13926)Instructions burned: 5 (million)
% 0.60/0.81  % (13926)------------------------------
% 0.60/0.81  % (13926)------------------------------
% 0.60/0.81  % (13929)Refutation not found, incomplete strategy% (13929)------------------------------
% 0.60/0.81  % (13929)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (13929)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (13929)Memory used [KB]: 1103
% 0.60/0.81  % (13929)Time elapsed: 0.006 s
% 0.60/0.81  % (13929)Instructions burned: 8 (million)
% 0.60/0.81  % (13929)------------------------------
% 0.60/0.81  % (13929)------------------------------
% 0.60/0.81  % (13925)Refutation not found, incomplete strategy% (13925)------------------------------
% 0.60/0.81  % (13925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (13925)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (13925)Memory used [KB]: 1086
% 0.60/0.82  % (13925)Time elapsed: 0.006 s
% 0.60/0.82  % (13925)Instructions burned: 7 (million)
% 0.60/0.82  % (13925)------------------------------
% 0.60/0.82  % (13925)------------------------------
% 0.60/0.82  % (13931)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.82  % (13933)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82  % (13932)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.82  % (13934)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.82  % (13935)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.82  % (13936)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.82  % (13931)Refutation not found, incomplete strategy% (13931)------------------------------
% 0.60/0.82  % (13931)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (13931)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (13931)Memory used [KB]: 1088
% 0.60/0.82  % (13931)Time elapsed: 0.005 s
% 0.60/0.82  % (13931)Instructions burned: 7 (million)
% 0.60/0.82  % (13931)------------------------------
% 0.60/0.82  % (13931)------------------------------
% 0.60/0.82  % (13932)Refutation not found, incomplete strategy% (13932)------------------------------
% 0.60/0.82  % (13932)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (13932)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (13932)Memory used [KB]: 1076
% 0.60/0.82  % (13932)Time elapsed: 0.005 s
% 0.60/0.82  % (13932)Instructions burned: 9 (million)
% 0.60/0.82  % (13932)------------------------------
% 0.60/0.82  % (13932)------------------------------
% 0.60/0.82  % (13934)Refutation not found, incomplete strategy% (13934)------------------------------
% 0.60/0.82  % (13934)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (13934)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (13934)Memory used [KB]: 1086
% 0.60/0.82  % (13934)Time elapsed: 0.005 s
% 0.60/0.82  % (13934)Instructions burned: 7 (million)
% 0.60/0.82  % (13934)------------------------------
% 0.60/0.82  % (13934)------------------------------
% 0.60/0.82  % (13936)Refutation not found, incomplete strategy% (13936)------------------------------
% 0.60/0.82  % (13936)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (13936)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (13936)Memory used [KB]: 1102
% 0.60/0.82  % (13936)Time elapsed: 0.004 s
% 0.60/0.82  % (13936)Instructions burned: 5 (million)
% 0.60/0.82  % (13936)------------------------------
% 0.60/0.82  % (13936)------------------------------
% 0.60/0.82  % (13937)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.82  % (13938)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.82  % (13939)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.82  % (13940)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.60/0.82  % (13938)Refutation not found, incomplete strategy% (13938)------------------------------
% 0.60/0.82  % (13938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (13938)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (13938)Memory used [KB]: 1016
% 0.60/0.82  % (13938)Time elapsed: 0.003 s
% 0.60/0.82  % (13938)Instructions burned: 5 (million)
% 0.60/0.82  % (13938)------------------------------
% 0.60/0.82  % (13938)------------------------------
% 0.60/0.83  % (13939)Refutation not found, incomplete strategy% (13939)------------------------------
% 0.60/0.83  % (13939)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (13939)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (13939)Memory used [KB]: 1080
% 0.60/0.83  % (13939)Time elapsed: 0.004 s
% 0.60/0.83  % (13939)Instructions burned: 5 (million)
% 0.60/0.83  % (13939)------------------------------
% 0.60/0.83  % (13939)------------------------------
% 0.60/0.83  % (13941)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.60/0.83  % (13928)Instruction limit reached!
% 0.60/0.83  % (13928)------------------------------
% 0.60/0.83  % (13928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (13928)Termination reason: Unknown
% 0.60/0.83  % (13928)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (13928)Memory used [KB]: 1522
% 0.60/0.83  % (13928)Time elapsed: 0.022 s
% 0.60/0.83  % (13928)Instructions burned: 46 (million)
% 0.60/0.83  % (13928)------------------------------
% 0.60/0.83  % (13928)------------------------------
% 0.60/0.83  % (13941)Refutation not found, incomplete strategy% (13941)------------------------------
% 0.60/0.83  % (13941)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (13941)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (13941)Memory used [KB]: 1015
% 0.60/0.83  % (13941)Time elapsed: 0.003 s
% 0.60/0.83  % (13941)Instructions burned: 4 (million)
% 0.60/0.83  % (13941)------------------------------
% 0.60/0.83  % (13941)------------------------------
% 0.60/0.83  % (13942)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.60/0.83  % (13937)Refutation not found, incomplete strategy% (13937)------------------------------
% 0.60/0.83  % (13937)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (13937)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (13937)Memory used [KB]: 1179
% 0.60/0.83  % (13937)Time elapsed: 0.011 s
% 0.60/0.83  % (13937)Instructions burned: 20 (million)
% 0.60/0.83  % (13937)------------------------------
% 0.60/0.83  % (13937)------------------------------
% 0.60/0.83  % (13943)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.60/0.83  % (13942)Refutation not found, incomplete strategy% (13942)------------------------------
% 0.60/0.83  % (13942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (13942)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (13942)Memory used [KB]: 1076
% 0.60/0.83  % (13942)Time elapsed: 0.005 s
% 0.60/0.83  % (13942)Instructions burned: 7 (million)
% 0.60/0.83  % (13942)------------------------------
% 0.60/0.83  % (13942)------------------------------
% 0.60/0.83  % (13944)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.83  % (13924)Instruction limit reached!
% 0.60/0.83  % (13924)------------------------------
% 0.60/0.83  % (13924)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (13924)Termination reason: Unknown
% 0.60/0.83  % (13924)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (13924)Memory used [KB]: 1767
% 0.60/0.83  % (13924)Time elapsed: 0.028 s
% 0.60/0.83  % (13924)Instructions burned: 52 (million)
% 0.60/0.83  % (13924)------------------------------
% 0.60/0.83  % (13924)------------------------------
% 0.60/0.84  % (13945)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.60/0.84  % (13944)Refutation not found, incomplete strategy% (13944)------------------------------
% 0.60/0.84  % (13944)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84  % (13943)Refutation not found, incomplete strategy% (13943)------------------------------
% 0.60/0.84  % (13943)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84  % (13943)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (13943)Memory used [KB]: 1087
% 0.60/0.84  % (13943)Time elapsed: 0.005 s
% 0.60/0.84  % (13943)Instructions burned: 8 (million)
% 0.60/0.84  % (13943)------------------------------
% 0.60/0.84  % (13943)------------------------------
% 0.60/0.84  % (13944)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (13944)Memory used [KB]: 1099
% 0.60/0.84  % (13944)Time elapsed: 0.004 s
% 0.60/0.84  % (13944)Instructions burned: 6 (million)
% 0.60/0.84  % (13944)------------------------------
% 0.60/0.84  % (13944)------------------------------
% 0.60/0.84  % (13946)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.60/0.84  % (13947)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.60/0.84  % (13946)Refutation not found, incomplete strategy% (13946)------------------------------
% 0.60/0.84  % (13946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84  % (13946)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (13946)Memory used [KB]: 1093
% 0.60/0.84  % (13946)Time elapsed: 0.025 s
% 0.60/0.84  % (13946)Instructions burned: 5 (million)
% 0.60/0.84  % (13946)------------------------------
% 0.60/0.84  % (13946)------------------------------
% 0.60/0.84  % (13949)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.60/0.84  % (13948)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.60/0.84  % (13950)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.60/0.85  % (13948)Instruction limit reached!
% 0.60/0.85  % (13948)------------------------------
% 0.60/0.85  % (13948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.85  % (13948)Termination reason: Unknown
% 0.60/0.85  % (13948)Termination phase: Saturation
% 0.60/0.85  
% 0.60/0.85  % (13948)Memory used [KB]: 1153
% 0.60/0.85  % (13948)Time elapsed: 0.039 s
% 0.60/0.85  % (13948)Instructions burned: 35 (million)
% 0.60/0.85  % (13948)------------------------------
% 0.60/0.85  % (13948)------------------------------
% 0.60/0.86  % (13951)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.60/0.86  % (13945)Instruction limit reached!
% 0.60/0.86  % (13945)------------------------------
% 0.60/0.86  % (13945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.86  % (13945)Termination reason: Unknown
% 0.60/0.86  % (13945)Termination phase: Saturation
% 0.60/0.86  
% 0.60/0.86  % (13945)Memory used [KB]: 1188
% 0.60/0.86  % (13945)Time elapsed: 0.046 s
% 0.60/0.86  % (13945)Instructions burned: 53 (million)
% 0.60/0.86  % (13945)------------------------------
% 0.60/0.86  % (13945)------------------------------
% 0.84/0.86  % (13951)Refutation not found, incomplete strategy% (13951)------------------------------
% 0.84/0.86  % (13951)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.86  % (13951)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.86  
% 0.84/0.86  % (13951)Memory used [KB]: 991
% 0.84/0.86  % (13951)Time elapsed: 0.004 s
% 0.84/0.86  % (13951)Instructions burned: 5 (million)
% 0.84/0.86  % (13951)------------------------------
% 0.84/0.86  % (13951)------------------------------
% 0.84/0.86  % (13952)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 0.84/0.86  % (13953)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 0.84/0.87  % (13952)Refutation not found, incomplete strategy% (13952)------------------------------
% 0.84/0.87  % (13952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.87  % (13952)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.87  
% 0.84/0.87  % (13952)Memory used [KB]: 1100
% 0.84/0.87  % (13952)Time elapsed: 0.004 s
% 0.84/0.87  % (13952)Instructions burned: 5 (million)
% 0.84/0.87  % (13952)------------------------------
% 0.84/0.87  % (13952)------------------------------
% 0.84/0.87  % (13940)Instruction limit reached!
% 0.84/0.87  % (13940)------------------------------
% 0.84/0.87  % (13940)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.87  % (13940)Termination reason: Unknown
% 0.84/0.87  % (13940)Termination phase: Saturation
% 0.84/0.87  
% 0.84/0.87  % (13940)Memory used [KB]: 2231
% 0.84/0.87  % (13940)Time elapsed: 0.043 s
% 0.84/0.87  % (13940)Instructions burned: 93 (million)
% 0.84/0.87  % (13940)------------------------------
% 0.84/0.87  % (13940)------------------------------
% 0.84/0.87  % (13954)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 0.84/0.87  % (13955)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 0.84/0.88  % (13949)Instruction limit reached!
% 0.84/0.88  % (13949)------------------------------
% 0.84/0.88  % (13949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.88  % (13949)Termination reason: Unknown
% 0.84/0.88  % (13949)Termination phase: Saturation
% 0.84/0.88  
% 0.84/0.88  % (13949)Memory used [KB]: 1387
% 0.84/0.88  % (13949)Time elapsed: 0.059 s
% 0.84/0.88  % (13949)Instructions burned: 87 (million)
% 0.84/0.88  % (13949)------------------------------
% 0.84/0.88  % (13949)------------------------------
% 0.84/0.88  % (13956)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 0.84/0.88  % (13953)Instruction limit reached!
% 0.84/0.88  % (13953)------------------------------
% 0.84/0.88  % (13953)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.88  % (13953)Termination reason: Unknown
% 0.84/0.88  % (13953)Termination phase: Saturation
% 0.84/0.88  
% 0.84/0.88  % (13953)Memory used [KB]: 1492
% 0.84/0.88  % (13953)Time elapsed: 0.021 s
% 0.84/0.88  % (13953)Instructions burned: 41 (million)
% 0.84/0.88  % (13953)------------------------------
% 0.84/0.88  % (13953)------------------------------
% 0.84/0.89  % (13957)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 0.84/0.89  % (13947)Instruction limit reached!
% 0.84/0.89  % (13947)------------------------------
% 0.84/0.89  % (13947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.89  % (13947)Termination reason: Unknown
% 0.84/0.89  % (13947)Termination phase: Saturation
% 0.84/0.89  
% 0.84/0.89  % (13947)Memory used [KB]: 2661
% 0.84/0.89  % (13947)Time elapsed: 0.075 s
% 0.84/0.89  % (13947)Instructions burned: 103 (million)
% 0.84/0.89  % (13947)------------------------------
% 0.84/0.89  % (13947)------------------------------
% 1.03/0.89  % (13958)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.03/0.90  % (13950)Instruction limit reached!
% 1.03/0.90  % (13950)------------------------------
% 1.03/0.90  % (13950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (13950)Termination reason: Unknown
% 1.03/0.90  % (13950)Termination phase: Saturation
% 1.03/0.90  
% 1.03/0.90  % (13950)Memory used [KB]: 2432
% 1.03/0.90  % (13950)Time elapsed: 0.056 s
% 1.03/0.90  % (13950)Instructions burned: 109 (million)
% 1.03/0.90  % (13933)Instruction limit reached!
% 1.03/0.90  % (13933)------------------------------
% 1.03/0.90  % (13933)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (13950)------------------------------
% 1.03/0.90  % (13950)------------------------------
% 1.03/0.90  % (13933)Termination reason: Unknown
% 1.03/0.90  % (13933)Termination phase: Saturation
% 1.03/0.90  
% 1.03/0.90  % (13933)Memory used [KB]: 2196
% 1.03/0.90  % (13933)Time elapsed: 0.083 s
% 1.03/0.90  % (13933)Instructions burned: 209 (million)
% 1.03/0.90  % (13933)------------------------------
% 1.03/0.90  % (13933)------------------------------
% 1.03/0.90  % (13960)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.03/0.90  % (13959)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 1.03/0.90  % (13960)Refutation not found, incomplete strategy% (13960)------------------------------
% 1.03/0.90  % (13960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (13960)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.90  
% 1.03/0.90  % (13960)Memory used [KB]: 1078
% 1.03/0.90  % (13960)Time elapsed: 0.004 s
% 1.03/0.90  % (13960)Instructions burned: 5 (million)
% 1.03/0.90  % (13960)------------------------------
% 1.03/0.90  % (13960)------------------------------
% 1.03/0.91  % (13961)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 1.03/0.91  % (13957)Instruction limit reached!
% 1.03/0.91  % (13957)------------------------------
% 1.03/0.91  % (13957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.91  % (13957)Termination reason: Unknown
% 1.03/0.91  % (13957)Termination phase: Saturation
% 1.03/0.91  
% 1.03/0.91  % (13957)Memory used [KB]: 1739
% 1.03/0.91  % (13957)Time elapsed: 0.021 s
% 1.03/0.91  % (13957)Instructions burned: 38 (million)
% 1.03/0.91  % (13957)------------------------------
% 1.03/0.91  % (13957)------------------------------
% 1.03/0.91  % (13961)Refutation not found, incomplete strategy% (13961)------------------------------
% 1.03/0.91  % (13961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.91  % (13961)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.91  
% 1.03/0.91  % (13961)Memory used [KB]: 973
% 1.03/0.91  % (13961)Time elapsed: 0.004 s
% 1.03/0.91  % (13961)Instructions burned: 6 (million)
% 1.03/0.91  % (13961)------------------------------
% 1.03/0.91  % (13961)------------------------------
% 1.03/0.91  % (13962)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 1.03/0.91  % (13963)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 Vampire---4 for (2994ds/82Mi)
% 1.03/0.91  % (13962)Refutation not found, incomplete strategy% (13962)------------------------------
% 1.03/0.91  % (13962)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.91  % (13962)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.91  
% 1.03/0.91  % (13962)Memory used [KB]: 1068
% 1.03/0.91  % (13962)Time elapsed: 0.004 s
% 1.03/0.91  % (13962)Instructions burned: 7 (million)
% 1.03/0.91  % (13962)------------------------------
% 1.03/0.91  % (13962)------------------------------
% 1.03/0.91  % (13956)Instruction limit reached!
% 1.03/0.91  % (13956)------------------------------
% 1.03/0.91  % (13956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.91  % (13956)Termination reason: Unknown
% 1.03/0.91  % (13956)Termination phase: Saturation
% 1.03/0.91  
% 1.03/0.91  % (13956)Memory used [KB]: 1322
% 1.03/0.91  % (13956)Time elapsed: 0.037 s
% 1.03/0.91  % (13956)Instructions burned: 82 (million)
% 1.03/0.91  % (13956)------------------------------
% 1.03/0.91  % (13956)------------------------------
% 1.03/0.92  % (13954)First to succeed.
% 1.03/0.92  % (13964)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 Vampire---4 for (2994ds/119Mi)
% 1.03/0.92  % (13965)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/177Mi)
% 1.03/0.92  % (13958)Instruction limit reached!
% 1.03/0.92  % (13958)------------------------------
% 1.03/0.92  % (13958)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.92  % (13958)Termination reason: Unknown
% 1.03/0.92  % (13958)Termination phase: Saturation
% 1.03/0.92  
% 1.03/0.92  % (13958)Memory used [KB]: 1595
% 1.03/0.92  % (13958)Time elapsed: 0.027 s
% 1.03/0.92  % (13958)Instructions burned: 56 (million)
% 1.03/0.92  % (13958)------------------------------
% 1.03/0.92  % (13958)------------------------------
% 1.03/0.92  % (13954)Refutation found. Thanks to Tanya!
% 1.03/0.92  % SZS status Unsatisfiable for Vampire---4
% 1.03/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 1.03/0.93  % (13954)------------------------------
% 1.03/0.93  % (13954)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.93  % (13954)Termination reason: Refutation
% 1.03/0.93  
% 1.03/0.93  % (13954)Memory used [KB]: 1580
% 1.03/0.93  % (13954)Time elapsed: 0.054 s
% 1.03/0.93  % (13954)Instructions burned: 102 (million)
% 1.03/0.93  % (13954)------------------------------
% 1.03/0.93  % (13954)------------------------------
% 1.03/0.93  % (13920)Success in time 0.595 s
% 1.03/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------