TSTP Solution File: GRP221-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n031.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 02:28:09 EDT 2024

% Result   : Unsatisfiable 1.02s 0.83s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   93
% Syntax   : Number of formulae    :  443 (  46 unt;   0 def)
%            Number of atoms       : 1556 ( 373 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives : 2039 ( 926   ~;1088   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   38 (  36 usr;  26 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  25 con; 0-2 aty)
%            Number of variables   :  119 ( 119   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1768,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f144,f149,f154,f159,f164,f169,f170,f171,f172,f173,f174,f182,f183,f184,f192,f193,f194,f202,f203,f204,f209,f210,f211,f212,f213,f214,f219,f220,f221,f222,f223,f224,f229,f230,f231,f232,f233,f234,f254,f262,f267,f280,f300,f305,f311,f354,f393,f412,f461,f491,f779,f1125,f1131,f1158,f1183,f1223,f1567,f1630,f1751]) ).

fof(f1751,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_22 ),
    inference(avatar_contradiction_clause,[],[f1750]) ).

fof(f1750,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_22 ),
    inference(subsumption_resolution,[],[f1749,f1736]) ).

fof(f1736,plain,
    ( ~ sP8(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f61,f1732]) ).

fof(f1732,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1728,f1246]) ).

fof(f1246,plain,
    ( inverse(sk_c10) = sk_c9
    | ~ spl25_2 ),
    inference(forward_demodulation,[],[f68,f138]) ).

fof(f138,plain,
    ( sk_c9 = sF11
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl25_2
  <=> sk_c9 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f68,plain,
    inverse(sk_c10) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f1728,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1716,f1712]) ).

fof(f1712,plain,
    ( identity = sk_c10
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1248,f1706]) ).

fof(f1706,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1694,f1692]) ).

fof(f1692,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1691,f1688]) ).

fof(f1688,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c10,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1684,f1317]) ).

fof(f1317,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl25_2
    | ~ spl25_5 ),
    inference(superposition,[],[f1249,f367]) ).

fof(f367,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c8,X0))
    | ~ spl25_5 ),
    inference(superposition,[],[f3,f257]) ).

fof(f257,plain,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f75,f153]) ).

fof(f153,plain,
    ( sk_c9 = sF15
    | ~ spl25_5 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl25_5
  <=> sk_c9 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).

fof(f75,plain,
    multiply(sk_c10,sk_c8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',associativity) ).

fof(f1249,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
    | ~ spl25_2 ),
    inference(forward_demodulation,[],[f832,f138]) ).

fof(f832,plain,
    ! [X0] : multiply(sF11,multiply(sk_c10,X0)) = X0,
    inference(forward_demodulation,[],[f817,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',left_identity) ).

fof(f817,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF11,multiply(sk_c10,X0)),
    inference(superposition,[],[f3,f589]) ).

fof(f589,plain,
    identity = multiply(sF11,sk_c10),
    inference(superposition,[],[f2,f68]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',left_inverse) ).

fof(f1684,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1267,f1682]) ).

fof(f1682,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1681,f1]) ).

fof(f1681,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(identity,X0))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_7 ),
    inference(superposition,[],[f3,f1660]) ).

fof(f1660,plain,
    ( sk_c6 = multiply(sk_c9,identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1322,f1659]) ).

fof(f1659,plain,
    ( sk_c6 = sk_c7
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1320,f1322]) ).

fof(f1320,plain,
    ( sk_c6 = multiply(sk_c9,identity)
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(superposition,[],[f1249,f1259]) ).

fof(f1259,plain,
    ( identity = multiply(sk_c10,sk_c6)
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f631,f143]) ).

fof(f143,plain,
    ( sk_c10 = sF13
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl25_3
  <=> sk_c10 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).

fof(f631,plain,
    identity = multiply(sF13,sk_c6),
    inference(superposition,[],[f2,f71]) ).

fof(f71,plain,
    inverse(sk_c6) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f1322,plain,
    ( sk_c7 = multiply(sk_c9,identity)
    | ~ spl25_2
    | ~ spl25_7 ),
    inference(superposition,[],[f1249,f1255]) ).

fof(f1255,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f938,f163]) ).

fof(f163,plain,
    ( sk_c10 = sF17
    | ~ spl25_7 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl25_7
  <=> sk_c10 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).

fof(f938,plain,
    identity = multiply(sF17,sk_c7),
    inference(superposition,[],[f2,f79]) ).

fof(f79,plain,
    inverse(sk_c7) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f1267,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c6,multiply(sk_c9,X0))
    | ~ spl25_4 ),
    inference(superposition,[],[f3,f1258]) ).

fof(f1258,plain,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f73,f148]) ).

fof(f148,plain,
    ( sk_c10 = sF14
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl25_4
  <=> sk_c10 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).

fof(f73,plain,
    multiply(sk_c6,sk_c9) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f1691,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1685,f1249]) ).

fof(f1685,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1665,f1682]) ).

fof(f1665,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c10,X0))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1266,f1659]) ).

fof(f1266,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c10,X0))
    | ~ spl25_6 ),
    inference(superposition,[],[f3,f1257]) ).

fof(f1257,plain,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | ~ spl25_6 ),
    inference(backward_demodulation,[],[f77,f158]) ).

fof(f158,plain,
    ( sk_c8 = sF16
    | ~ spl25_6 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl25_6
  <=> sk_c8 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).

fof(f77,plain,
    multiply(sk_c7,sk_c10) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f1694,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1689,f1692]) ).

fof(f1689,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f367,f1688]) ).

fof(f1248,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl25_2 ),
    inference(forward_demodulation,[],[f589,f138]) ).

fof(f1716,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1260,f1711]) ).

fof(f1711,plain,
    ( identity = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1660,f1706]) ).

fof(f1260,plain,
    ( sk_c10 = inverse(sk_c6)
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f71,f143]) ).

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

fof(f1749,plain,
    ( sP8(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_22 ),
    inference(backward_demodulation,[],[f279,f1747]) ).

fof(f1747,plain,
    ( sk_c10 = sk_c8
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1713,f1732]) ).

fof(f1713,plain,
    ( sk_c9 = sk_c8
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1321,f1706]) ).

fof(f1321,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl25_2
    | ~ spl25_5 ),
    inference(superposition,[],[f1249,f257]) ).

fof(f279,plain,
    ( sP8(sk_c8)
    | ~ spl25_22 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl25_22
  <=> sP8(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_22])]) ).

fof(f1630,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | spl25_8 ),
    inference(avatar_contradiction_clause,[],[f1629]) ).

fof(f1629,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | spl25_8 ),
    inference(subsumption_resolution,[],[f1628,f167]) ).

fof(f167,plain,
    ( sk_c10 != sF18
    | spl25_8 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl25_8
  <=> sk_c10 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).

fof(f1628,plain,
    ( sk_c10 = sF18
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1609,f1626]) ).

fof(f1626,plain,
    ( ! [X0] : multiply(sF18,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1625,f1580]) ).

fof(f1580,plain,
    ( ! [X0] : multiply(sF18,X0) = multiply(sk_c1,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f365,f1578]) ).

fof(f1578,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1574,f1571]) ).

fof(f1571,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1451,f1561]) ).

fof(f1561,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c10,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f1342,f1317]) ).

fof(f1342,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(forward_demodulation,[],[f1336,f1316]) ).

fof(f1316,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
    | ~ spl25_1
    | ~ spl25_2 ),
    inference(superposition,[],[f1249,f417]) ).

fof(f417,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f386,f134]) ).

fof(f134,plain,
    ( sk_c10 = sF12
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl25_1
  <=> sk_c10 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f386,plain,
    ! [X0] : multiply(sF12,multiply(sk_c1,X0)) = X0,
    inference(forward_demodulation,[],[f376,f1]) ).

fof(f376,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c1,X0)),
    inference(superposition,[],[f3,f355]) ).

fof(f355,plain,
    identity = multiply(sF12,sk_c1),
    inference(superposition,[],[f2,f69]) ).

fof(f69,plain,
    inverse(sk_c1) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f1336,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f1267,f1334]) ).

fof(f1334,plain,
    ( sk_c1 = sk_c6
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f1320,f1318]) ).

fof(f1318,plain,
    ( sk_c1 = multiply(sk_c9,identity)
    | ~ spl25_1
    | ~ spl25_2 ),
    inference(superposition,[],[f1249,f418]) ).

fof(f418,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f355,f134]) ).

fof(f1451,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1,f1450]) ).

fof(f1450,plain,
    ( identity = sk_c8
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1449,f1248]) ).

fof(f1449,plain,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1448,f1316]) ).

fof(f1448,plain,
    ( sk_c8 = multiply(sk_c1,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1257,f1351]) ).

fof(f1351,plain,
    ( sk_c1 = sk_c7
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1322,f1318]) ).

fof(f1574,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1562,f1571]) ).

fof(f1562,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f367,f1561]) ).

fof(f365,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sF18,X0),
    inference(superposition,[],[f3,f81]) ).

fof(f81,plain,
    multiply(sk_c1,sk_c9) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f1625,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1573,f1351]) ).

fof(f1573,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1563,f1571]) ).

fof(f1563,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c10,X0))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6 ),
    inference(backward_demodulation,[],[f1266,f1561]) ).

fof(f1609,plain,
    ( sF18 = multiply(sF18,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f1581,f1596]) ).

fof(f1596,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f1343,f1578]) ).

fof(f1343,plain,
    ( sk_c10 = multiply(sk_c9,sk_c9)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(forward_demodulation,[],[f1339,f1316]) ).

fof(f1339,plain,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f1258,f1334]) ).

fof(f1581,plain,
    ( sF18 = multiply(sF18,sk_c9)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f81,f1580]) ).

fof(f1567,plain,
    ( ~ spl25_9
    | ~ spl25_10
    | ~ spl25_16
    | spl25_28 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_16
    | spl25_28 ),
    inference(subsumption_resolution,[],[f1565,f1278]) ).

fof(f1278,plain,
    ( sP7(sF21)
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_16 ),
    inference(forward_demodulation,[],[f1277,f102]) ).

fof(f102,plain,
    multiply(sk_c3,sk_c10) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f1277,plain,
    ( sP7(multiply(sk_c3,sk_c10))
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_16 ),
    inference(subsumption_resolution,[],[f1276,f61]) ).

fof(f1276,plain,
    ( sP8(sk_c9)
    | sP7(multiply(sk_c3,sk_c10))
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_16 ),
    inference(forward_demodulation,[],[f1272,f414]) ).

fof(f414,plain,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | ~ spl25_9 ),
    inference(backward_demodulation,[],[f88,f178]) ).

fof(f178,plain,
    ( sk_c9 = sF19
    | ~ spl25_9 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl25_9
  <=> sk_c9 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).

fof(f88,plain,
    multiply(sk_c2,sk_c3) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f1272,plain,
    ( sP8(multiply(sk_c2,sk_c3))
    | sP7(multiply(sk_c3,sk_c10))
    | ~ spl25_10
    | ~ spl25_16 ),
    inference(superposition,[],[f240,f409]) ).

fof(f409,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f95,f188]) ).

fof(f188,plain,
    ( sk_c3 = sF20
    | ~ spl25_10 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl25_10
  <=> sk_c3 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).

fof(f95,plain,
    inverse(sk_c2) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f240,plain,
    ( ! [X4] :
        ( sP8(multiply(X4,inverse(X4)))
        | sP7(multiply(inverse(X4),sk_c10)) )
    | ~ spl25_16 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl25_16
  <=> ! [X4] :
        ( sP7(multiply(inverse(X4),sk_c10))
        | sP8(multiply(X4,inverse(X4))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).

fof(f1565,plain,
    ( ~ sP7(sF21)
    | ~ spl25_10
    | spl25_28 ),
    inference(backward_demodulation,[],[f1557,f102]) ).

fof(f1557,plain,
    ( ~ sP7(multiply(sk_c3,sk_c10))
    | ~ spl25_10
    | spl25_28 ),
    inference(forward_demodulation,[],[f328,f188]) ).

fof(f328,plain,
    ( ~ sP7(multiply(sF20,sk_c10))
    | spl25_28 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl25_28
  <=> sP7(multiply(sF20,sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_28])]) ).

fof(f1223,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f1221,f854]) ).

fof(f854,plain,
    ( ~ sP6(sk_c10)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f59,f834]) ).

fof(f834,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f403,f529]) ).

fof(f529,plain,
    ( sk_c10 = multiply(sk_c10,sk_c5)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f395,f401]) ).

fof(f401,plain,
    ( sk_c5 = multiply(sk_c4,sk_c10)
    | ~ spl25_13 ),
    inference(backward_demodulation,[],[f116,f218]) ).

fof(f218,plain,
    ( sk_c5 = sF23
    | ~ spl25_13 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl25_13
  <=> sk_c5 = sF23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).

fof(f116,plain,
    multiply(sk_c4,sk_c10) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f395,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f388,f228]) ).

fof(f228,plain,
    ( sk_c10 = sF24
    | ~ spl25_14 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl25_14
  <=> sk_c10 = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).

fof(f388,plain,
    ! [X0] : multiply(sF24,multiply(sk_c4,X0)) = X0,
    inference(forward_demodulation,[],[f378,f1]) ).

fof(f378,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF24,multiply(sk_c4,X0)),
    inference(superposition,[],[f3,f360]) ).

fof(f360,plain,
    identity = multiply(sF24,sk_c4),
    inference(superposition,[],[f2,f123]) ).

fof(f123,plain,
    inverse(sk_c4) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f403,plain,
    ( sk_c9 = multiply(sk_c10,sk_c5)
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f109,f208]) ).

fof(f208,plain,
    ( sk_c9 = sF22
    | ~ spl25_12 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl25_12
  <=> sk_c9 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).

fof(f109,plain,
    multiply(sk_c10,sk_c5) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

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

fof(f1221,plain,
    ( sP6(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f1220,f991]) ).

fof(f991,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f980,f607]) ).

fof(f607,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = multiply(sk_c10,X0)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f395,f400]) ).

fof(f400,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl25_13 ),
    inference(backward_demodulation,[],[f375,f218]) ).

fof(f375,plain,
    ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sF23,X0),
    inference(superposition,[],[f3,f116]) ).

fof(f980,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f395,f974]) ).

fof(f974,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f596,f963]) ).

fof(f963,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f840,f395]) ).

fof(f840,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f415,f834]) ).

fof(f415,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f365,f168]) ).

fof(f168,plain,
    ( sk_c10 = sF18
    | ~ spl25_8 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f596,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl25_1
    | ~ spl25_13 ),
    inference(superposition,[],[f400,f417]) ).

fof(f1220,plain,
    ( sP6(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f1217,f58]) ).

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

fof(f1217,plain,
    ( sP5(sk_c10)
    | sP6(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(superposition,[],[f1216,f1136]) ).

fof(f1136,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f68,f1129]) ).

fof(f1129,plain,
    ( sk_c10 = sF11
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1128,f68]) ).

fof(f1128,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f398,f1092]) ).

fof(f1092,plain,
    ( sk_c10 = sk_c4
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1003,f1050]) ).

fof(f1050,plain,
    ( identity = sk_c10
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f589,f993]) ).

fof(f993,plain,
    ( ! [X0] : multiply(sF11,X0) = X0
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f832,f991]) ).

fof(f1003,plain,
    ( identity = sk_c4
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f396,f991]) ).

fof(f396,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f360,f228]) ).

fof(f398,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f123,f228]) ).

fof(f1216,plain,
    ( ! [X7] :
        ( sP5(inverse(X7))
        | sP6(multiply(X7,sk_c10)) )
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f243,f991]) ).

fof(f243,plain,
    ( ! [X7] :
        ( sP6(multiply(sk_c10,multiply(X7,sk_c10)))
        | sP5(inverse(X7)) )
    | ~ spl25_17 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl25_17
  <=> ! [X7] :
        ( sP5(inverse(X7))
        | sP6(multiply(sk_c10,multiply(X7,sk_c10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).

fof(f1183,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_33 ),
    inference(avatar_contradiction_clause,[],[f1182]) ).

fof(f1182,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_33 ),
    inference(subsumption_resolution,[],[f1181,f852]) ).

fof(f852,plain,
    ( ~ sP8(sk_c10)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f61,f834]) ).

fof(f1181,plain,
    ( sP8(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_33 ),
    inference(forward_demodulation,[],[f1180,f1136]) ).

fof(f1180,plain,
    ( sP8(inverse(sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_33 ),
    inference(forward_demodulation,[],[f353,f1050]) ).

fof(f353,plain,
    ( sP8(inverse(identity))
    | ~ spl25_33 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl25_33
  <=> sP8(inverse(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_33])]) ).

fof(f1158,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_20 ),
    inference(avatar_contradiction_clause,[],[f1157]) ).

fof(f1157,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f1156,f855]) ).

fof(f855,plain,
    ( ~ sP1(sk_c10)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f54,f834]) ).

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

fof(f1156,plain,
    ( sP1(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f1155,f991]) ).

fof(f1155,plain,
    ( sP1(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f1152,f53]) ).

fof(f53,plain,
    ~ sP0(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1152,plain,
    ( sP0(sk_c10)
    | sP1(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_20 ),
    inference(superposition,[],[f1137,f1136]) ).

fof(f1137,plain,
    ( ! [X10] :
        ( sP0(inverse(X10))
        | sP1(multiply(X10,sk_c10)) )
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f253,f991]) ).

fof(f253,plain,
    ( ! [X10] :
        ( sP1(multiply(sk_c10,multiply(X10,sk_c10)))
        | sP0(inverse(X10)) )
    | ~ spl25_20 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl25_20
  <=> ! [X10] :
        ( sP0(inverse(X10))
        | sP1(multiply(sk_c10,multiply(X10,sk_c10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).

fof(f1131,plain,
    ( ~ spl25_1
    | spl25_2
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1130,plain,
    ( $false
    | ~ spl25_1
    | spl25_2
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(subsumption_resolution,[],[f1129,f850]) ).

fof(f850,plain,
    ( sk_c10 != sF11
    | spl25_2
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f137,f834]) ).

fof(f137,plain,
    ( sk_c9 != sF11
    | spl25_2 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f1125,plain,
    ( ~ spl25_1
    | spl25_2
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl25_1
    | spl25_2
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(subsumption_resolution,[],[f1123,f850]) ).

fof(f1123,plain,
    ( sk_c10 = sF11
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1122,f68]) ).

fof(f1122,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f879,f1097]) ).

fof(f1097,plain,
    ( sk_c10 = sk_c2
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1001,f1050]) ).

fof(f1001,plain,
    ( identity = sk_c2
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f878,f991]) ).

fof(f878,plain,
    ( identity = multiply(sk_c10,sk_c2)
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f407,f875]) ).

fof(f875,plain,
    ( sk_c10 = sk_c3
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f873,f837]) ).

fof(f837,plain,
    ( sk_c10 = multiply(sk_c3,sk_c10)
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f405,f834]) ).

fof(f405,plain,
    ( sk_c9 = multiply(sk_c3,sk_c10)
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f102,f198]) ).

fof(f198,plain,
    ( sk_c9 = sF21
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl25_11
  <=> sk_c9 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f873,plain,
    ( sk_c3 = multiply(sk_c3,sk_c10)
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f406,f839]) ).

fof(f839,plain,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | ~ spl25_9
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f414,f834]) ).

fof(f406,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f387,f188]) ).

fof(f387,plain,
    ! [X0] : multiply(sF20,multiply(sk_c2,X0)) = X0,
    inference(forward_demodulation,[],[f377,f1]) ).

fof(f377,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF20,multiply(sk_c2,X0)),
    inference(superposition,[],[f3,f359]) ).

fof(f359,plain,
    identity = multiply(sF20,sk_c2),
    inference(superposition,[],[f2,f95]) ).

fof(f407,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f359,f188]) ).

fof(f879,plain,
    ( sk_c10 = inverse(sk_c2)
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f409,f875]) ).

fof(f779,plain,
    ( ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_32 ),
    inference(avatar_contradiction_clause,[],[f778]) ).

fof(f778,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_32 ),
    inference(subsumption_resolution,[],[f777,f499]) ).

fof(f499,plain,
    ( ~ sP7(sk_c10)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f60,f496]) ).

fof(f496,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f494,f257]) ).

fof(f494,plain,
    ( sk_c10 = multiply(sk_c10,sk_c8)
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(superposition,[],[f384,f256]) ).

fof(f256,plain,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | ~ spl25_6 ),
    inference(backward_demodulation,[],[f77,f158]) ).

fof(f384,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f368,f1]) ).

fof(f368,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
    | ~ spl25_7 ),
    inference(superposition,[],[f3,f358]) ).

fof(f358,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl25_7 ),
    inference(superposition,[],[f2,f255]) ).

fof(f255,plain,
    ( sk_c10 = inverse(sk_c7)
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f79,f163]) ).

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

fof(f777,plain,
    ( sP7(sk_c10)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_32 ),
    inference(forward_demodulation,[],[f776,f709]) ).

fof(f709,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f705,f510]) ).

fof(f510,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c10,X0)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f367,f496]) ).

fof(f705,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f384,f701]) ).

fof(f701,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f696,f580]) ).

fof(f580,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12 ),
    inference(superposition,[],[f3,f574]) ).

fof(f574,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12 ),
    inference(forward_demodulation,[],[f566,f256]) ).

fof(f566,plain,
    ( multiply(sk_c7,sk_c10) = multiply(sk_c8,sk_c5)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12 ),
    inference(superposition,[],[f372,f512]) ).

fof(f512,plain,
    ( sk_c10 = multiply(sk_c10,sk_c5)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f403,f496]) ).

fof(f372,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c10,X0))
    | ~ spl25_6 ),
    inference(superposition,[],[f3,f256]) ).

fof(f696,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f560,f690]) ).

fof(f690,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_13 ),
    inference(backward_demodulation,[],[f596,f675]) ).

fof(f675,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(superposition,[],[f517,f417]) ).

fof(f517,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f415,f496]) ).

fof(f560,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl25_6
    | ~ spl25_14 ),
    inference(superposition,[],[f372,f395]) ).

fof(f776,plain,
    ( sP7(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_32 ),
    inference(backward_demodulation,[],[f349,f771]) ).

fof(f771,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f420,f716]) ).

fof(f716,plain,
    ( identity = sk_c1
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f418,f709]) ).

fof(f420,plain,
    ( inverse(sk_c1) = sk_c10
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f69,f134]) ).

fof(f349,plain,
    ( sP7(multiply(inverse(identity),sk_c10))
    | ~ spl25_32 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl25_32
  <=> sP7(multiply(inverse(identity),sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_32])]) ).

fof(f491,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f490,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(subsumption_resolution,[],[f489,f63]) ).

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

fof(f489,plain,
    ( sP10(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f488,f420]) ).

fof(f488,plain,
    ( sP10(inverse(sk_c1))
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(subsumption_resolution,[],[f469,f62]) ).

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

fof(f469,plain,
    ( sP9(sk_c10)
    | sP10(inverse(sk_c1))
    | ~ spl25_8
    | ~ spl25_15 ),
    inference(superposition,[],[f237,f416]) ).

fof(f416,plain,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f81,f168]) ).

fof(f237,plain,
    ( ! [X3] :
        ( sP9(multiply(X3,sk_c9))
        | sP10(inverse(X3)) )
    | ~ spl25_15 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl25_15
  <=> ! [X3] :
        ( sP9(multiply(X3,sk_c9))
        | sP10(inverse(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).

fof(f461,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_19 ),
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f459,f56]) ).

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

fof(f459,plain,
    ( sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_19 ),
    inference(forward_demodulation,[],[f458,f420]) ).

fof(f458,plain,
    ( sP3(inverse(sk_c1))
    | ~ spl25_8
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f439,f55]) ).

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

fof(f439,plain,
    ( sP2(sk_c10)
    | sP3(inverse(sk_c1))
    | ~ spl25_8
    | ~ spl25_19 ),
    inference(superposition,[],[f250,f416]) ).

fof(f250,plain,
    ( ! [X8] :
        ( sP2(multiply(X8,sk_c9))
        | sP3(inverse(X8)) )
    | ~ spl25_19 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl25_19
  <=> ! [X8] :
        ( sP2(multiply(X8,sk_c9))
        | sP3(inverse(X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).

fof(f412,plain,
    ( ~ spl25_10
    | ~ spl25_11
    | ~ spl25_28 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_28 ),
    inference(subsumption_resolution,[],[f410,f60]) ).

fof(f410,plain,
    ( sP7(sk_c9)
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_28 ),
    inference(forward_demodulation,[],[f408,f405]) ).

fof(f408,plain,
    ( sP7(multiply(sk_c3,sk_c10))
    | ~ spl25_10
    | ~ spl25_28 ),
    inference(backward_demodulation,[],[f329,f188]) ).

fof(f329,plain,
    ( sP7(multiply(sF20,sk_c10))
    | ~ spl25_28 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f393,plain,
    ( ~ spl25_3
    | ~ spl25_4
    | ~ spl25_21 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f392,plain,
    ( $false
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_21 ),
    inference(subsumption_resolution,[],[f391,f60]) ).

fof(f391,plain,
    ( sP7(sk_c9)
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_21 ),
    inference(backward_demodulation,[],[f275,f389]) ).

fof(f389,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(superposition,[],[f383,f258]) ).

fof(f258,plain,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f73,f148]) ).

fof(f383,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = X0
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f366,f1]) ).

fof(f366,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c6,X0))
    | ~ spl25_3 ),
    inference(superposition,[],[f3,f357]) ).

fof(f357,plain,
    ( identity = multiply(sk_c10,sk_c6)
    | ~ spl25_3 ),
    inference(superposition,[],[f2,f259]) ).

fof(f259,plain,
    ( sk_c10 = inverse(sk_c6)
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f71,f143]) ).

fof(f275,plain,
    ( sP7(multiply(sk_c10,sk_c10))
    | ~ spl25_21 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl25_21
  <=> sP7(multiply(sk_c10,sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).

fof(f354,plain,
    ( spl25_32
    | spl25_33
    | ~ spl25_16 ),
    inference(avatar_split_clause,[],[f345,f239,f351,f347]) ).

fof(f345,plain,
    ( sP8(inverse(identity))
    | sP7(multiply(inverse(identity),sk_c10))
    | ~ spl25_16 ),
    inference(superposition,[],[f240,f1]) ).

fof(f311,plain,
    ( ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_20 ),
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f309,f53]) ).

fof(f309,plain,
    ( sP0(sk_c10)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f308,f255]) ).

fof(f308,plain,
    ( sP0(inverse(sk_c7))
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f307,f54]) ).

fof(f307,plain,
    ( sP1(sk_c9)
    | sP0(inverse(sk_c7))
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f306,f257]) ).

fof(f306,plain,
    ( sP1(multiply(sk_c10,sk_c8))
    | sP0(inverse(sk_c7))
    | ~ spl25_6
    | ~ spl25_20 ),
    inference(superposition,[],[f253,f256]) ).

fof(f305,plain,
    ( ~ spl25_3
    | ~ spl25_4
    | ~ spl25_19 ),
    inference(avatar_contradiction_clause,[],[f304]) ).

fof(f304,plain,
    ( $false
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f303,f56]) ).

fof(f303,plain,
    ( sP3(sk_c10)
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_19 ),
    inference(forward_demodulation,[],[f302,f259]) ).

fof(f302,plain,
    ( sP3(inverse(sk_c6))
    | ~ spl25_4
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f301,f55]) ).

fof(f301,plain,
    ( sP2(sk_c10)
    | sP3(inverse(sk_c6))
    | ~ spl25_4
    | ~ spl25_19 ),
    inference(superposition,[],[f250,f258]) ).

fof(f300,plain,
    ( ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f298,f58]) ).

fof(f298,plain,
    ( sP5(sk_c10)
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f297,f255]) ).

fof(f297,plain,
    ( sP5(inverse(sk_c7))
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f296,f59]) ).

fof(f296,plain,
    ( sP6(sk_c9)
    | sP5(inverse(sk_c7))
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f295,f257]) ).

fof(f295,plain,
    ( sP6(multiply(sk_c10,sk_c8))
    | sP5(inverse(sk_c7))
    | ~ spl25_6
    | ~ spl25_17 ),
    inference(superposition,[],[f243,f256]) ).

fof(f280,plain,
    ( spl25_21
    | spl25_22
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_16 ),
    inference(avatar_split_clause,[],[f271,f239,f161,f156,f277,f273]) ).

fof(f271,plain,
    ( sP8(sk_c8)
    | sP7(multiply(sk_c10,sk_c10))
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_16 ),
    inference(forward_demodulation,[],[f268,f256]) ).

fof(f268,plain,
    ( sP8(multiply(sk_c7,sk_c10))
    | sP7(multiply(sk_c10,sk_c10))
    | ~ spl25_7
    | ~ spl25_16 ),
    inference(superposition,[],[f240,f255]) ).

fof(f267,plain,
    ( ~ spl25_3
    | ~ spl25_4
    | ~ spl25_15 ),
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_15 ),
    inference(subsumption_resolution,[],[f265,f63]) ).

fof(f265,plain,
    ( sP10(sk_c10)
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f264,f259]) ).

fof(f264,plain,
    ( sP10(inverse(sk_c6))
    | ~ spl25_4
    | ~ spl25_15 ),
    inference(subsumption_resolution,[],[f263,f62]) ).

fof(f263,plain,
    ( sP9(sk_c10)
    | sP10(inverse(sk_c6))
    | ~ spl25_4
    | ~ spl25_15 ),
    inference(superposition,[],[f237,f258]) ).

fof(f262,plain,
    ( ~ spl25_18
    | ~ spl25_2 ),
    inference(avatar_split_clause,[],[f260,f136,f245]) ).

fof(f245,plain,
    ( spl25_18
  <=> sP4(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).

fof(f260,plain,
    ( ~ sP4(sk_c9)
    | ~ spl25_2 ),
    inference(backward_demodulation,[],[f130,f138]) ).

fof(f130,plain,
    ~ sP4(sF11),
    inference(definition_folding,[],[f57,f68]) ).

fof(f57,plain,
    ~ sP4(inverse(sk_c10)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f254,plain,
    ( spl25_15
    | spl25_16
    | spl25_17
    | spl25_18
    | spl25_19
    | spl25_20 ),
    inference(avatar_split_clause,[],[f67,f252,f249,f245,f242,f239,f236]) ).

fof(f67,plain,
    ! [X3,X10,X8,X7,X4] :
      ( sP0(inverse(X10))
      | sP1(multiply(sk_c10,multiply(X10,sk_c10)))
      | sP2(multiply(X8,sk_c9))
      | sP3(inverse(X8))
      | sP4(sk_c9)
      | sP5(inverse(X7))
      | sP6(multiply(sk_c10,multiply(X7,sk_c10)))
      | sP7(multiply(inverse(X4),sk_c10))
      | sP8(multiply(X4,inverse(X4)))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3)) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X10,X8,X7,X4,X5] :
      ( sP0(inverse(X10))
      | sP1(multiply(sk_c10,multiply(X10,sk_c10)))
      | sP2(multiply(X8,sk_c9))
      | sP3(inverse(X8))
      | sP4(sk_c9)
      | sP5(inverse(X7))
      | sP6(multiply(sk_c10,multiply(X7,sk_c10)))
      | sP7(multiply(X5,sk_c10))
      | inverse(X4) != X5
      | sP8(multiply(X4,X5))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3)) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( sP0(inverse(X10))
      | sP1(multiply(sk_c10,multiply(X10,sk_c10)))
      | sP2(multiply(X8,sk_c9))
      | sP3(inverse(X8))
      | sP4(sk_c9)
      | sP5(inverse(X7))
      | multiply(X7,sk_c10) != X6
      | sP6(multiply(sk_c10,X6))
      | sP7(multiply(X5,sk_c10))
      | inverse(X4) != X5
      | sP8(multiply(X4,X5))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3)) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( sP0(inverse(X10))
      | multiply(X10,sk_c10) != X9
      | sP1(multiply(sk_c10,X9))
      | sP2(multiply(X8,sk_c9))
      | sP3(inverse(X8))
      | sP4(sk_c9)
      | sP5(inverse(X7))
      | multiply(X7,sk_c10) != X6
      | sP6(multiply(sk_c10,X6))
      | sP7(multiply(X5,sk_c10))
      | inverse(X4) != X5
      | sP8(multiply(X4,X5))
      | sP9(multiply(X3,sk_c9))
      | sP10(inverse(X3)) ),
    inference(inequality_splitting,[],[f52,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).

fof(f52,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X10)
      | multiply(X10,sk_c10) != X9
      | sk_c9 != multiply(sk_c10,X9)
      | sk_c10 != multiply(X8,sk_c9)
      | sk_c10 != inverse(X8)
      | inverse(sk_c10) != sk_c9
      | sk_c10 != inverse(X7)
      | multiply(X7,sk_c10) != X6
      | sk_c9 != multiply(sk_c10,X6)
      | sk_c9 != multiply(X5,sk_c10)
      | inverse(X4) != X5
      | sk_c9 != multiply(X4,X5)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_49) ).

fof(f234,plain,
    ( spl25_14
    | spl25_7 ),
    inference(avatar_split_clause,[],[f129,f161,f226]) ).

fof(f129,plain,
    ( sk_c10 = sF17
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f51,f123,f79]) ).

fof(f51,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_48) ).

fof(f233,plain,
    ( spl25_14
    | spl25_6 ),
    inference(avatar_split_clause,[],[f128,f156,f226]) ).

fof(f128,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f50,f123,f77]) ).

fof(f50,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_47) ).

fof(f232,plain,
    ( spl25_14
    | spl25_5 ),
    inference(avatar_split_clause,[],[f127,f151,f226]) ).

fof(f127,plain,
    ( sk_c9 = sF15
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f49,f123,f75]) ).

fof(f49,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_46) ).

fof(f231,plain,
    ( spl25_14
    | spl25_4 ),
    inference(avatar_split_clause,[],[f126,f146,f226]) ).

fof(f126,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f48,f123,f73]) ).

fof(f48,axiom,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_45) ).

fof(f230,plain,
    ( spl25_14
    | spl25_3 ),
    inference(avatar_split_clause,[],[f125,f141,f226]) ).

fof(f125,plain,
    ( sk_c10 = sF13
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f47,f123,f71]) ).

fof(f47,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_44) ).

fof(f229,plain,
    ( spl25_14
    | spl25_2 ),
    inference(avatar_split_clause,[],[f124,f136,f226]) ).

fof(f124,plain,
    ( sk_c9 = sF11
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f46,f123,f68]) ).

fof(f46,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_43) ).

fof(f224,plain,
    ( spl25_13
    | spl25_7 ),
    inference(avatar_split_clause,[],[f122,f161,f216]) ).

fof(f122,plain,
    ( sk_c10 = sF17
    | sk_c5 = sF23 ),
    inference(definition_folding,[],[f45,f116,f79]) ).

fof(f45,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_42) ).

fof(f223,plain,
    ( spl25_13
    | spl25_6 ),
    inference(avatar_split_clause,[],[f121,f156,f216]) ).

fof(f121,plain,
    ( sk_c8 = sF16
    | sk_c5 = sF23 ),
    inference(definition_folding,[],[f44,f116,f77]) ).

fof(f44,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c5 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_41) ).

fof(f222,plain,
    ( spl25_13
    | spl25_5 ),
    inference(avatar_split_clause,[],[f120,f151,f216]) ).

fof(f120,plain,
    ( sk_c9 = sF15
    | sk_c5 = sF23 ),
    inference(definition_folding,[],[f43,f116,f75]) ).

fof(f43,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c5 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_40) ).

fof(f221,plain,
    ( spl25_13
    | spl25_4 ),
    inference(avatar_split_clause,[],[f119,f146,f216]) ).

fof(f119,plain,
    ( sk_c10 = sF14
    | sk_c5 = sF23 ),
    inference(definition_folding,[],[f42,f116,f73]) ).

fof(f42,axiom,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | sk_c5 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_39) ).

fof(f220,plain,
    ( spl25_13
    | spl25_3 ),
    inference(avatar_split_clause,[],[f118,f141,f216]) ).

fof(f118,plain,
    ( sk_c10 = sF13
    | sk_c5 = sF23 ),
    inference(definition_folding,[],[f41,f116,f71]) ).

fof(f41,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_38) ).

fof(f219,plain,
    ( spl25_13
    | spl25_2 ),
    inference(avatar_split_clause,[],[f117,f136,f216]) ).

fof(f117,plain,
    ( sk_c9 = sF11
    | sk_c5 = sF23 ),
    inference(definition_folding,[],[f40,f116,f68]) ).

fof(f40,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c5 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_37) ).

fof(f214,plain,
    ( spl25_12
    | spl25_7 ),
    inference(avatar_split_clause,[],[f115,f161,f206]) ).

fof(f115,plain,
    ( sk_c10 = sF17
    | sk_c9 = sF22 ),
    inference(definition_folding,[],[f39,f109,f79]) ).

fof(f39,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c10,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_36) ).

fof(f213,plain,
    ( spl25_12
    | spl25_6 ),
    inference(avatar_split_clause,[],[f114,f156,f206]) ).

fof(f114,plain,
    ( sk_c8 = sF16
    | sk_c9 = sF22 ),
    inference(definition_folding,[],[f38,f109,f77]) ).

fof(f38,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_35) ).

fof(f212,plain,
    ( spl25_12
    | spl25_5 ),
    inference(avatar_split_clause,[],[f113,f151,f206]) ).

fof(f113,plain,
    ( sk_c9 = sF15
    | sk_c9 = sF22 ),
    inference(definition_folding,[],[f37,f109,f75]) ).

fof(f37,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_34) ).

fof(f211,plain,
    ( spl25_12
    | spl25_4 ),
    inference(avatar_split_clause,[],[f112,f146,f206]) ).

fof(f112,plain,
    ( sk_c10 = sF14
    | sk_c9 = sF22 ),
    inference(definition_folding,[],[f36,f109,f73]) ).

fof(f36,axiom,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | sk_c9 = multiply(sk_c10,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_33) ).

fof(f210,plain,
    ( spl25_12
    | spl25_3 ),
    inference(avatar_split_clause,[],[f111,f141,f206]) ).

fof(f111,plain,
    ( sk_c10 = sF13
    | sk_c9 = sF22 ),
    inference(definition_folding,[],[f35,f109,f71]) ).

fof(f35,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c10,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_32) ).

fof(f209,plain,
    ( spl25_12
    | spl25_2 ),
    inference(avatar_split_clause,[],[f110,f136,f206]) ).

fof(f110,plain,
    ( sk_c9 = sF11
    | sk_c9 = sF22 ),
    inference(definition_folding,[],[f34,f109,f68]) ).

fof(f34,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c9 = multiply(sk_c10,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_31) ).

fof(f204,plain,
    ( spl25_11
    | spl25_7 ),
    inference(avatar_split_clause,[],[f108,f161,f196]) ).

fof(f108,plain,
    ( sk_c10 = sF17
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f33,f102,f79]) ).

fof(f33,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_30) ).

fof(f203,plain,
    ( spl25_11
    | spl25_6 ),
    inference(avatar_split_clause,[],[f107,f156,f196]) ).

fof(f107,plain,
    ( sk_c8 = sF16
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f32,f102,f77]) ).

fof(f32,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_29) ).

fof(f202,plain,
    ( spl25_11
    | spl25_5 ),
    inference(avatar_split_clause,[],[f106,f151,f196]) ).

fof(f106,plain,
    ( sk_c9 = sF15
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f31,f102,f75]) ).

fof(f31,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_28) ).

fof(f194,plain,
    ( spl25_10
    | spl25_7 ),
    inference(avatar_split_clause,[],[f101,f161,f186]) ).

fof(f101,plain,
    ( sk_c10 = sF17
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f27,f95,f79]) ).

fof(f27,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_24) ).

fof(f193,plain,
    ( spl25_10
    | spl25_6 ),
    inference(avatar_split_clause,[],[f100,f156,f186]) ).

fof(f100,plain,
    ( sk_c8 = sF16
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f26,f95,f77]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_23) ).

fof(f192,plain,
    ( spl25_10
    | spl25_5 ),
    inference(avatar_split_clause,[],[f99,f151,f186]) ).

fof(f99,plain,
    ( sk_c9 = sF15
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f25,f95,f75]) ).

fof(f25,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_22) ).

fof(f184,plain,
    ( spl25_9
    | spl25_7 ),
    inference(avatar_split_clause,[],[f94,f161,f176]) ).

fof(f94,plain,
    ( sk_c10 = sF17
    | sk_c9 = sF19 ),
    inference(definition_folding,[],[f21,f88,f79]) ).

fof(f21,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_18) ).

fof(f183,plain,
    ( spl25_9
    | spl25_6 ),
    inference(avatar_split_clause,[],[f93,f156,f176]) ).

fof(f93,plain,
    ( sk_c8 = sF16
    | sk_c9 = sF19 ),
    inference(definition_folding,[],[f20,f88,f77]) ).

fof(f20,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_17) ).

fof(f182,plain,
    ( spl25_9
    | spl25_5 ),
    inference(avatar_split_clause,[],[f92,f151,f176]) ).

fof(f92,plain,
    ( sk_c9 = sF15
    | sk_c9 = sF19 ),
    inference(definition_folding,[],[f19,f88,f75]) ).

fof(f19,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_16) ).

fof(f174,plain,
    ( spl25_8
    | spl25_7 ),
    inference(avatar_split_clause,[],[f87,f161,f166]) ).

fof(f87,plain,
    ( sk_c10 = sF17
    | sk_c10 = sF18 ),
    inference(definition_folding,[],[f15,f81,f79]) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_12) ).

fof(f173,plain,
    ( spl25_8
    | spl25_6 ),
    inference(avatar_split_clause,[],[f86,f156,f166]) ).

fof(f86,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF18 ),
    inference(definition_folding,[],[f14,f81,f77]) ).

fof(f14,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_11) ).

fof(f172,plain,
    ( spl25_8
    | spl25_5 ),
    inference(avatar_split_clause,[],[f85,f151,f166]) ).

fof(f85,plain,
    ( sk_c9 = sF15
    | sk_c10 = sF18 ),
    inference(definition_folding,[],[f13,f81,f75]) ).

fof(f13,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_10) ).

fof(f171,plain,
    ( spl25_8
    | spl25_4 ),
    inference(avatar_split_clause,[],[f84,f146,f166]) ).

fof(f84,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF18 ),
    inference(definition_folding,[],[f12,f81,f73]) ).

fof(f12,axiom,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_9) ).

fof(f170,plain,
    ( spl25_8
    | spl25_3 ),
    inference(avatar_split_clause,[],[f83,f141,f166]) ).

fof(f83,plain,
    ( sk_c10 = sF13
    | sk_c10 = sF18 ),
    inference(definition_folding,[],[f11,f81,f71]) ).

fof(f11,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_8) ).

fof(f169,plain,
    ( spl25_8
    | spl25_2 ),
    inference(avatar_split_clause,[],[f82,f136,f166]) ).

fof(f82,plain,
    ( sk_c9 = sF11
    | sk_c10 = sF18 ),
    inference(definition_folding,[],[f10,f81,f68]) ).

fof(f10,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_7) ).

fof(f164,plain,
    ( spl25_1
    | spl25_7 ),
    inference(avatar_split_clause,[],[f80,f161,f132]) ).

fof(f80,plain,
    ( sk_c10 = sF17
    | sk_c10 = sF12 ),
    inference(definition_folding,[],[f9,f69,f79]) ).

fof(f9,axiom,
    ( sk_c10 = inverse(sk_c7)
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_6) ).

fof(f159,plain,
    ( spl25_1
    | spl25_6 ),
    inference(avatar_split_clause,[],[f78,f156,f132]) ).

fof(f78,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF12 ),
    inference(definition_folding,[],[f8,f69,f77]) ).

fof(f8,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_5) ).

fof(f154,plain,
    ( spl25_1
    | spl25_5 ),
    inference(avatar_split_clause,[],[f76,f151,f132]) ).

fof(f76,plain,
    ( sk_c9 = sF15
    | sk_c10 = sF12 ),
    inference(definition_folding,[],[f7,f69,f75]) ).

fof(f7,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_4) ).

fof(f149,plain,
    ( spl25_1
    | spl25_4 ),
    inference(avatar_split_clause,[],[f74,f146,f132]) ).

fof(f74,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF12 ),
    inference(definition_folding,[],[f6,f69,f73]) ).

fof(f6,axiom,
    ( sk_c10 = multiply(sk_c6,sk_c9)
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_3) ).

fof(f144,plain,
    ( spl25_1
    | spl25_3 ),
    inference(avatar_split_clause,[],[f72,f141,f132]) ).

fof(f72,plain,
    ( sk_c10 = sF13
    | sk_c10 = sF12 ),
    inference(definition_folding,[],[f5,f69,f71]) ).

fof(f5,axiom,
    ( sk_c10 = inverse(sk_c6)
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_2) ).

fof(f139,plain,
    ( spl25_1
    | spl25_2 ),
    inference(avatar_split_clause,[],[f70,f136,f132]) ).

fof(f70,plain,
    ( sk_c9 = sF11
    | sk_c10 = sF12 ),
    inference(definition_folding,[],[f4,f69,f68]) ).

fof(f4,axiom,
    ( inverse(sk_c10) = sk_c9
    | inverse(sk_c1) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 19:00:29 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.QIKtiJtQk6/Vampire---4.8_27423
% 0.57/0.74  % (27686)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (27680)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (27682)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (27681)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (27684)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (27685)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (27683)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (27687)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (27680)Refutation not found, incomplete strategy% (27680)------------------------------
% 0.57/0.74  % (27680)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (27680)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (27680)Memory used [KB]: 1026
% 0.57/0.74  % (27680)Time elapsed: 0.004 s
% 0.57/0.74  % (27680)Instructions burned: 5 (million)
% 0.57/0.74  % (27680)------------------------------
% 0.57/0.74  % (27680)------------------------------
% 0.57/0.74  % (27683)Refutation not found, incomplete strategy% (27683)------------------------------
% 0.57/0.74  % (27683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (27683)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (27683)Memory used [KB]: 1009
% 0.57/0.74  % (27683)Time elapsed: 0.004 s
% 0.57/0.74  % (27683)Instructions burned: 5 (million)
% 0.57/0.74  % (27683)------------------------------
% 0.57/0.74  % (27683)------------------------------
% 0.57/0.74  % (27684)Refutation not found, incomplete strategy% (27684)------------------------------
% 0.57/0.74  % (27684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (27684)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (27684)Memory used [KB]: 1107
% 0.57/0.74  % (27684)Time elapsed: 0.004 s
% 0.57/0.74  % (27684)Instructions burned: 5 (million)
% 0.57/0.74  % (27684)------------------------------
% 0.57/0.74  % (27684)------------------------------
% 0.57/0.74  % (27682)Refutation not found, incomplete strategy% (27682)------------------------------
% 0.57/0.74  % (27682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (27682)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (27682)Memory used [KB]: 1102
% 0.57/0.74  % (27682)Time elapsed: 0.005 s
% 0.57/0.74  % (27682)Instructions burned: 6 (million)
% 0.57/0.74  % (27682)------------------------------
% 0.57/0.74  % (27682)------------------------------
% 0.57/0.74  % (27687)Refutation not found, incomplete strategy% (27687)------------------------------
% 0.57/0.74  % (27687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (27687)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (27687)Memory used [KB]: 1028
% 0.57/0.74  % (27687)Time elapsed: 0.004 s
% 0.57/0.74  % (27687)Instructions burned: 5 (million)
% 0.57/0.74  % (27687)------------------------------
% 0.57/0.74  % (27687)------------------------------
% 0.57/0.75  % (27689)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75  % (27690)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.75  % (27688)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (27692)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.75  % (27691)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.75  % (27689)Refutation not found, incomplete strategy% (27689)------------------------------
% 0.57/0.75  % (27689)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (27689)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (27689)Memory used [KB]: 1006
% 0.57/0.75  % (27689)Time elapsed: 0.005 s
% 0.57/0.75  % (27689)Instructions burned: 8 (million)
% 0.57/0.75  % (27689)------------------------------
% 0.57/0.75  % (27689)------------------------------
% 0.57/0.75  % (27691)Refutation not found, incomplete strategy% (27691)------------------------------
% 0.57/0.75  % (27691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (27691)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (27691)Memory used [KB]: 1103
% 0.57/0.75  % (27691)Time elapsed: 0.005 s
% 0.57/0.75  % (27691)Instructions burned: 7 (million)
% 0.57/0.75  % (27691)------------------------------
% 0.57/0.75  % (27691)------------------------------
% 0.63/0.75  % (27690)Refutation not found, incomplete strategy% (27690)------------------------------
% 0.63/0.75  % (27690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.75  % (27690)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.75  
% 0.63/0.75  % (27690)Memory used [KB]: 1132
% 0.63/0.75  % (27690)Time elapsed: 0.008 s
% 0.63/0.75  % (27690)Instructions burned: 12 (million)
% 0.63/0.75  % (27690)------------------------------
% 0.63/0.75  % (27690)------------------------------
% 0.63/0.75  % (27693)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.63/0.76  % (27693)Refutation not found, incomplete strategy% (27693)------------------------------
% 0.63/0.76  % (27693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (27693)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (27693)Memory used [KB]: 1034
% 0.63/0.76  % (27693)Time elapsed: 0.005 s
% 0.63/0.76  % (27693)Instructions burned: 5 (million)
% 0.63/0.76  % (27693)------------------------------
% 0.63/0.76  % (27693)------------------------------
% 0.63/0.76  % (27694)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.63/0.76  % (27695)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.63/0.76  % (27695)Refutation not found, incomplete strategy% (27695)------------------------------
% 0.63/0.76  % (27695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (27695)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (27695)Memory used [KB]: 1029
% 0.63/0.76  % (27695)Time elapsed: 0.004 s
% 0.63/0.76  % (27695)Instructions burned: 5 (million)
% 0.63/0.76  % (27695)------------------------------
% 0.63/0.76  % (27695)------------------------------
% 0.63/0.76  % (27685)Instruction limit reached!
% 0.63/0.76  % (27685)------------------------------
% 0.63/0.76  % (27685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (27685)Termination reason: Unknown
% 0.63/0.76  % (27685)Termination phase: Saturation
% 0.63/0.76  
% 0.63/0.76  % (27685)Memory used [KB]: 1647
% 0.63/0.76  % (27685)Time elapsed: 0.023 s
% 0.63/0.76  % (27685)Instructions burned: 45 (million)
% 0.63/0.76  % (27685)------------------------------
% 0.63/0.76  % (27685)------------------------------
% 0.63/0.76  % (27696)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.63/0.76  % (27686)Instruction limit reached!
% 0.63/0.76  % (27686)------------------------------
% 0.63/0.76  % (27686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (27686)Termination reason: Unknown
% 0.63/0.76  % (27686)Termination phase: Saturation
% 0.63/0.76  
% 0.63/0.76  % (27686)Memory used [KB]: 2019
% 0.63/0.76  % (27686)Time elapsed: 0.026 s
% 0.63/0.76  % (27686)Instructions burned: 86 (million)
% 0.63/0.76  % (27686)------------------------------
% 0.63/0.76  % (27686)------------------------------
% 0.63/0.76  % (27696)Refutation not found, incomplete strategy% (27696)------------------------------
% 0.63/0.76  % (27696)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (27696)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (27696)Memory used [KB]: 1028
% 0.63/0.76  % (27696)Time elapsed: 0.004 s
% 0.63/0.76  % (27696)Instructions burned: 5 (million)
% 0.63/0.76  % (27696)------------------------------
% 0.63/0.76  % (27696)------------------------------
% 0.63/0.76  % (27697)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.63/0.76  % (27698)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.63/0.76  % (27699)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.63/0.76  % (27681)Instruction limit reached!
% 0.63/0.76  % (27681)------------------------------
% 0.63/0.76  % (27681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (27681)Termination reason: Unknown
% 0.63/0.76  % (27681)Termination phase: Saturation
% 0.63/0.76  
% 0.63/0.76  % (27681)Memory used [KB]: 1706
% 0.63/0.76  % (27681)Time elapsed: 0.028 s
% 0.63/0.76  % (27681)Instructions burned: 51 (million)
% 0.63/0.76  % (27681)------------------------------
% 0.63/0.76  % (27681)------------------------------
% 0.63/0.77  % (27698)Refutation not found, incomplete strategy% (27698)------------------------------
% 0.63/0.77  % (27698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (27698)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (27698)Memory used [KB]: 1042
% 0.63/0.77  % (27698)Time elapsed: 0.004 s
% 0.63/0.77  % (27698)Instructions burned: 4 (million)
% 0.63/0.77  % (27698)------------------------------
% 0.63/0.77  % (27698)------------------------------
% 0.63/0.77  % (27699)Refutation not found, incomplete strategy% (27699)------------------------------
% 0.63/0.77  % (27699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (27699)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (27699)Memory used [KB]: 1101
% 0.63/0.77  % (27699)Time elapsed: 0.003 s
% 0.63/0.77  % (27699)Instructions burned: 7 (million)
% 0.63/0.77  % (27699)------------------------------
% 0.63/0.77  % (27699)------------------------------
% 0.63/0.77  % (27700)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.63/0.77  % (27701)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.63/0.77  % (27703)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.63/0.77  % (27703)Refutation not found, incomplete strategy% (27703)------------------------------
% 0.63/0.77  % (27703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (27703)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (27703)Memory used [KB]: 1088
% 0.63/0.77  % (27703)Time elapsed: 0.002 s
% 0.63/0.77  % (27703)Instructions burned: 4 (million)
% 0.63/0.77  % (27703)------------------------------
% 0.63/0.77  % (27703)------------------------------
% 0.63/0.77  % (27702)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.63/0.77  % (27700)Refutation not found, incomplete strategy% (27700)------------------------------
% 0.63/0.77  % (27700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (27700)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (27700)Memory used [KB]: 1102
% 0.63/0.77  % (27700)Time elapsed: 0.006 s
% 0.63/0.77  % (27700)Instructions burned: 7 (million)
% 0.63/0.77  % (27700)------------------------------
% 0.63/0.77  % (27700)------------------------------
% 0.63/0.77  % (27701)Refutation not found, incomplete strategy% (27701)------------------------------
% 0.63/0.77  % (27701)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (27701)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (27701)Memory used [KB]: 1109
% 0.63/0.77  % (27701)Time elapsed: 0.004 s
% 0.63/0.77  % (27701)Instructions burned: 6 (million)
% 0.63/0.77  % (27701)------------------------------
% 0.63/0.77  % (27701)------------------------------
% 0.63/0.77  % (27704)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.63/0.77  % (27688)Instruction limit reached!
% 0.63/0.77  % (27688)------------------------------
% 0.63/0.77  % (27688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (27688)Termination reason: Unknown
% 0.63/0.77  % (27688)Termination phase: Saturation
% 0.63/0.77  
% 0.63/0.77  % (27688)Memory used [KB]: 1772
% 0.63/0.77  % (27688)Time elapsed: 0.030 s
% 0.63/0.77  % (27688)Instructions burned: 55 (million)
% 0.63/0.77  % (27688)------------------------------
% 0.63/0.77  % (27688)------------------------------
% 0.63/0.78  % (27705)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.63/0.78  % (27707)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.63/0.78  % (27706)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.63/0.79  % (27705)Instruction limit reached!
% 0.63/0.79  % (27705)------------------------------
% 0.63/0.79  % (27705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (27705)Termination reason: Unknown
% 0.63/0.79  % (27705)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (27705)Memory used [KB]: 1171
% 0.63/0.79  % (27705)Time elapsed: 0.018 s
% 0.63/0.79  % (27705)Instructions burned: 35 (million)
% 0.63/0.79  % (27705)------------------------------
% 0.63/0.79  % (27705)------------------------------
% 0.63/0.80  % (27702)Instruction limit reached!
% 0.63/0.80  % (27702)------------------------------
% 0.63/0.80  % (27702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (27702)Termination reason: Unknown
% 0.63/0.80  % (27702)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (27702)Memory used [KB]: 1176
% 0.63/0.80  % (27702)Time elapsed: 0.026 s
% 0.63/0.80  % (27702)Instructions burned: 54 (million)
% 0.63/0.80  % (27702)------------------------------
% 0.63/0.80  % (27702)------------------------------
% 0.63/0.80  % (27708)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.63/0.80  % (27708)Refutation not found, incomplete strategy% (27708)------------------------------
% 0.63/0.80  % (27708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (27708)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (27708)Memory used [KB]: 996
% 0.63/0.80  % (27708)Time elapsed: 0.004 s
% 0.63/0.80  % (27708)Instructions burned: 5 (million)
% 0.63/0.80  % (27708)------------------------------
% 0.63/0.80  % (27708)------------------------------
% 0.63/0.80  % (27709)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.63/0.80  % (27704)Instruction limit reached!
% 0.63/0.80  % (27704)------------------------------
% 0.63/0.80  % (27704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (27704)Termination reason: Unknown
% 0.63/0.80  % (27704)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (27704)Memory used [KB]: 2567
% 0.63/0.80  % (27704)Time elapsed: 0.029 s
% 0.63/0.80  % (27704)Instructions burned: 104 (million)
% 0.63/0.80  % (27704)------------------------------
% 0.63/0.80  % (27704)------------------------------
% 0.63/0.80  % (27709)Refutation not found, incomplete strategy% (27709)------------------------------
% 0.63/0.80  % (27709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (27709)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (27709)Memory used [KB]: 1109
% 0.63/0.80  % (27709)Time elapsed: 0.004 s
% 0.63/0.80  % (27709)Instructions burned: 5 (million)
% 0.63/0.80  % (27709)------------------------------
% 0.63/0.80  % (27709)------------------------------
% 0.63/0.80  % (27710)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.63/0.80  % (27711)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.63/0.81  % (27712)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.63/0.81  % (27697)Instruction limit reached!
% 0.63/0.81  % (27697)------------------------------
% 0.63/0.81  % (27697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (27697)Termination reason: Unknown
% 0.63/0.81  % (27697)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (27697)Memory used [KB]: 2194
% 0.63/0.81  % (27697)Time elapsed: 0.047 s
% 0.63/0.81  % (27697)Instructions burned: 94 (million)
% 0.63/0.81  % (27697)------------------------------
% 0.63/0.81  % (27697)------------------------------
% 0.63/0.81  % (27713)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.63/0.82  % (27706)Instruction limit reached!
% 0.63/0.82  % (27706)------------------------------
% 0.63/0.82  % (27706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (27706)Termination reason: Unknown
% 0.63/0.82  % (27706)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (27706)Memory used [KB]: 1329
% 0.63/0.82  % (27706)Time elapsed: 0.062 s
% 0.63/0.82  % (27706)Instructions burned: 88 (million)
% 0.63/0.82  % (27706)------------------------------
% 0.63/0.82  % (27706)------------------------------
% 0.63/0.82  % (27714)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.63/0.83  % (27710)Instruction limit reached!
% 0.63/0.83  % (27710)------------------------------
% 0.63/0.83  % (27710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (27710)Termination reason: Unknown
% 0.63/0.83  % (27710)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (27710)Memory used [KB]: 1836
% 0.63/0.83  % (27710)Time elapsed: 0.023 s
% 0.63/0.83  % (27710)Instructions burned: 41 (million)
% 0.63/0.83  % (27710)------------------------------
% 0.63/0.83  % (27710)------------------------------
% 1.02/0.83  % (27711)First to succeed.
% 1.02/0.83  % (27715)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 (2995ds/55Mi)
% 1.02/0.83  % (27711)Refutation found. Thanks to Tanya!
% 1.02/0.83  % SZS status Unsatisfiable for Vampire---4
% 1.02/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 1.02/0.83  % (27711)------------------------------
% 1.02/0.83  % (27711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.02/0.83  % (27711)Termination reason: Refutation
% 1.02/0.83  
% 1.02/0.83  % (27711)Memory used [KB]: 1489
% 1.02/0.83  % (27711)Time elapsed: 0.027 s
% 1.02/0.83  % (27711)Instructions burned: 82 (million)
% 1.02/0.83  % (27711)------------------------------
% 1.02/0.83  % (27711)------------------------------
% 1.02/0.83  % (27676)Success in time 0.453 s
% 1.02/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------