TSTP Solution File: GRP325-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP325-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 21:08:05 EDT 2024

% Result   : Unsatisfiable 1.28s 0.92s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :  103
% Syntax   : Number of formulae    :  466 (  45 unt;   0 def)
%            Number of atoms       : 1650 ( 385 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 2163 ( 979   ~;1153   |;   0   &)
%                                         (  31 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   45 (  43 usr;  32 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  26 con; 0-2 aty)
%            Number of variables   :   92 (  92   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2150,plain,
    $false,
    inference(avatar_sat_refutation,[],[f138,f143,f148,f153,f168,f173,f183,f184,f185,f186,f187,f188,f189,f190,f191,f196,f197,f198,f199,f200,f201,f202,f203,f204,f209,f210,f211,f212,f215,f216,f217,f222,f223,f224,f225,f226,f227,f228,f229,f230,f256,f292,f303,f331,f340,f343,f346,f1047,f1097,f1106,f1271,f1283,f1315,f1358,f1370,f1391,f1432,f1445,f1490,f1515,f1550,f1575,f1987,f1992,f2046,f2064,f2127,f2147]) ).

fof(f2147,plain,
    ( ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_24 ),
    inference(avatar_contradiction_clause,[],[f2146]) ).

fof(f2146,plain,
    ( $false
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_24 ),
    inference(subsumption_resolution,[],[f2145,f59]) ).

fof(f59,plain,
    ~ sP8(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f2145,plain,
    ( sP8(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_24 ),
    inference(forward_demodulation,[],[f2144,f1690]) ).

fof(f1690,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(backward_demodulation,[],[f1555,f1667]) ).

fof(f1667,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(backward_demodulation,[],[f1,f1666]) ).

fof(f1666,plain,
    ( identity = sk_c8
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f1665,f129]) ).

fof(f129,plain,
    multiply(sk_c9,sk_c10) = sk_c8,
    inference(backward_demodulation,[],[f66,f67]) ).

fof(f67,plain,
    sk_c8 = sF12,
    inference(definition_folding,[],[f4,f66]) ).

fof(f4,axiom,
    multiply(sk_c9,sk_c10) = sk_c8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f66,plain,
    multiply(sk_c9,sk_c10) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f1665,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f1662,f1556]) ).

fof(f1556,plain,
    ( identity = multiply(sk_c8,sk_c9)
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f967,f147]) ).

fof(f147,plain,
    ( sk_c8 = sF16
    | ~ spl27_4 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl27_4
  <=> sk_c8 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).

fof(f967,plain,
    identity = multiply(sF16,sk_c9),
    inference(superposition,[],[f2,f73]) ).

fof(f73,plain,
    inverse(sk_c9) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f1662,plain,
    ( multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c9)
    | ~ spl27_2
    | ~ spl27_3 ),
    inference(superposition,[],[f365,f1657]) ).

fof(f1657,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl27_2
    | ~ spl27_3 ),
    inference(superposition,[],[f1462,f1404]) ).

fof(f1404,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl27_2 ),
    inference(backward_demodulation,[],[f68,f137]) ).

fof(f137,plain,
    ( sk_c9 = sF13
    | ~ spl27_2 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl27_2
  <=> sk_c9 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).

fof(f68,plain,
    multiply(sk_c4,sk_c10) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f1462,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl27_3 ),
    inference(forward_demodulation,[],[f1461,f1]) ).

fof(f1461,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl27_3 ),
    inference(superposition,[],[f3,f1401]) ).

fof(f1401,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl27_3 ),
    inference(backward_demodulation,[],[f990,f142]) ).

fof(f142,plain,
    ( sk_c10 = sF15
    | ~ spl27_3 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl27_3
  <=> sk_c10 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).

fof(f990,plain,
    identity = multiply(sF15,sk_c4),
    inference(superposition,[],[f2,f71]) ).

fof(f71,plain,
    inverse(sk_c4) = 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/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f365,plain,
    ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sk_c8,X0),
    inference(superposition,[],[f3,f129]) ).

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

fof(f1555,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f1516,f147]) ).

fof(f1516,plain,
    ! [X0] : multiply(sF16,multiply(sk_c9,X0)) = X0,
    inference(forward_demodulation,[],[f1266,f1]) ).

fof(f1266,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF16,multiply(sk_c9,X0)),
    inference(superposition,[],[f3,f967]) ).

fof(f2144,plain,
    ( sP8(multiply(sk_c9,sk_c9))
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_24 ),
    inference(forward_demodulation,[],[f2143,f1949]) ).

fof(f1949,plain,
    ( sk_c9 = sk_c10
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5 ),
    inference(forward_demodulation,[],[f1657,f1883]) ).

fof(f1883,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5 ),
    inference(forward_demodulation,[],[f1689,f1690]) ).

fof(f1689,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,X0)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5 ),
    inference(backward_demodulation,[],[f1527,f1667]) ).

fof(f1527,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c8,X0))
    | ~ spl27_5 ),
    inference(forward_demodulation,[],[f370,f152]) ).

fof(f152,plain,
    ( sk_c9 = sF17
    | ~ spl27_5 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl27_5
  <=> sk_c9 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).

fof(f370,plain,
    ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sF17,X0),
    inference(superposition,[],[f3,f75]) ).

fof(f75,plain,
    multiply(sk_c10,sk_c8) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f2143,plain,
    ( sP8(multiply(sk_c10,sk_c9))
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_24 ),
    inference(forward_demodulation,[],[f287,f2008]) ).

fof(f2008,plain,
    ( sk_c9 = sk_c6
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f1945,f1949]) ).

fof(f1945,plain,
    ( sk_c10 = sk_c6
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f1604,f1883]) ).

fof(f1604,plain,
    ( sk_c6 = multiply(sk_c10,sk_c10)
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(backward_demodulation,[],[f257,f1602]) ).

fof(f1602,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,X0)
    | ~ spl27_8
    | ~ spl27_9 ),
    inference(forward_demodulation,[],[f1601,f1]) ).

fof(f1601,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c10,multiply(identity,X0))
    | ~ spl27_8
    | ~ spl27_9 ),
    inference(superposition,[],[f3,f1598]) ).

fof(f1598,plain,
    ( sk_c7 = multiply(sk_c10,identity)
    | ~ spl27_8
    | ~ spl27_9 ),
    inference(superposition,[],[f1456,f1389]) ).

fof(f1389,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl27_8 ),
    inference(backward_demodulation,[],[f1229,f167]) ).

fof(f167,plain,
    ( sk_c6 = sF20
    | ~ spl27_8 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f165,plain,
    ( spl27_8
  <=> sk_c6 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).

fof(f1229,plain,
    identity = multiply(sF20,sk_c7),
    inference(superposition,[],[f2,f81]) ).

fof(f81,plain,
    inverse(sk_c7) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f1456,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = X0
    | ~ spl27_9 ),
    inference(forward_demodulation,[],[f1455,f1]) ).

fof(f1455,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c6,X0))
    | ~ spl27_9 ),
    inference(superposition,[],[f3,f1386]) ).

fof(f1386,plain,
    ( identity = multiply(sk_c10,sk_c6)
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f972,f172]) ).

fof(f172,plain,
    ( sk_c10 = sF21
    | ~ spl27_9 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl27_9
  <=> sk_c10 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).

fof(f972,plain,
    identity = multiply(sF21,sk_c6),
    inference(superposition,[],[f2,f83]) ).

fof(f83,plain,
    inverse(sk_c6) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f257,plain,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | ~ spl27_10 ),
    inference(backward_demodulation,[],[f85,f177]) ).

fof(f177,plain,
    ( sk_c6 = sF22
    | ~ spl27_10 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl27_10
  <=> sk_c6 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).

fof(f85,plain,
    multiply(sk_c7,sk_c10) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f287,plain,
    ( sP8(multiply(sk_c10,sk_c6))
    | ~ spl27_24 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl27_24
  <=> sP8(multiply(sk_c10,sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).

fof(f2127,plain,
    ( ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_20 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_20 ),
    inference(subsumption_resolution,[],[f2125,f52]) ).

fof(f52,plain,
    ~ sP1(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f2125,plain,
    ( sP1(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_20 ),
    inference(forward_demodulation,[],[f2124,f1690]) ).

fof(f2124,plain,
    ( sP1(multiply(sk_c9,sk_c9))
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_20 ),
    inference(subsumption_resolution,[],[f2122,f53]) ).

fof(f53,plain,
    ~ sP2(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f2122,plain,
    ( sP2(sk_c9)
    | sP1(multiply(sk_c9,sk_c9))
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_20 ),
    inference(superposition,[],[f2109,f2087]) ).

fof(f2087,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(backward_demodulation,[],[f1557,f2056]) ).

fof(f2056,plain,
    ( sk_c9 = sk_c8
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f2055,f1949]) ).

fof(f2055,plain,
    ( sk_c10 = sk_c8
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f2054,f1557]) ).

fof(f2054,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f1388,f2008]) ).

fof(f1388,plain,
    ( sk_c10 = inverse(sk_c6)
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f83,f172]) ).

fof(f1557,plain,
    ( sk_c8 = inverse(sk_c9)
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f73,f147]) ).

fof(f2109,plain,
    ( ! [X7] :
        ( sP2(inverse(X7))
        | sP1(multiply(X7,sk_c9)) )
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_20 ),
    inference(forward_demodulation,[],[f252,f2056]) ).

fof(f252,plain,
    ( ! [X7] :
        ( sP1(multiply(X7,sk_c8))
        | sP2(inverse(X7)) )
    | ~ spl27_20 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl27_20
  <=> ! [X7] :
        ( sP1(multiply(X7,sk_c8))
        | sP2(inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).

fof(f2064,plain,
    ( ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_25 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2063,plain,
    ( $false
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_25 ),
    inference(subsumption_resolution,[],[f2062,f1975]) ).

fof(f1975,plain,
    ( ~ sP7(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5 ),
    inference(backward_demodulation,[],[f58,f1949]) ).

fof(f58,plain,
    ~ sP7(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f2062,plain,
    ( sP7(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_25 ),
    inference(forward_demodulation,[],[f291,f2008]) ).

fof(f291,plain,
    ( sP7(sk_c6)
    | ~ spl27_25 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl27_25
  <=> sP7(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).

fof(f2046,plain,
    ( ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | spl27_38 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10
    | spl27_38 ),
    inference(subsumption_resolution,[],[f2044,f1578]) ).

fof(f1578,plain,
    ( sk_c9 != sk_c8
    | ~ spl27_2
    | ~ spl27_4
    | spl27_38 ),
    inference(forward_demodulation,[],[f1577,f1557]) ).

fof(f1577,plain,
    ( sk_c9 != inverse(sk_c9)
    | ~ spl27_2
    | spl27_38 ),
    inference(forward_demodulation,[],[f1157,f137]) ).

fof(f1157,plain,
    ( sF13 != inverse(sF13)
    | spl27_38 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1155,plain,
    ( spl27_38
  <=> sF13 = inverse(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_38])]) ).

fof(f2044,plain,
    ( sk_c9 = sk_c8
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_10 ),
    inference(forward_demodulation,[],[f2043,f2008]) ).

fof(f2043,plain,
    ( sk_c8 = sk_c6
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_9 ),
    inference(forward_demodulation,[],[f1856,f2002]) ).

fof(f2002,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_6
    | ~ spl27_7 ),
    inference(forward_demodulation,[],[f1966,f1690]) ).

fof(f1966,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_6
    | ~ spl27_7 ),
    inference(forward_demodulation,[],[f1618,f1690]) ).

fof(f1618,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl27_6
    | ~ spl27_7 ),
    inference(superposition,[],[f3,f1608]) ).

fof(f1608,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl27_6
    | ~ spl27_7 ),
    inference(superposition,[],[f1460,f1532]) ).

fof(f1532,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl27_7 ),
    inference(forward_demodulation,[],[f79,f162]) ).

fof(f162,plain,
    ( sk_c9 = sF19
    | ~ spl27_7 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl27_7
  <=> sk_c9 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).

fof(f79,plain,
    multiply(sk_c5,sk_c8) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f1460,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | ~ spl27_6 ),
    inference(forward_demodulation,[],[f1459,f1]) ).

fof(f1459,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
    | ~ spl27_6 ),
    inference(superposition,[],[f3,f1399]) ).

fof(f1399,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | ~ spl27_6 ),
    inference(backward_demodulation,[],[f1196,f157]) ).

fof(f157,plain,
    ( sk_c9 = sF18
    | ~ spl27_6 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl27_6
  <=> sk_c9 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).

fof(f1196,plain,
    identity = multiply(sF18,sk_c5),
    inference(superposition,[],[f2,f77]) ).

fof(f77,plain,
    inverse(sk_c5) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f1856,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f1683,f1690]) ).

fof(f1683,plain,
    ( multiply(sk_c8,sk_c6) = multiply(sk_c9,sk_c8)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f1649,f1666]) ).

fof(f1649,plain,
    ( multiply(sk_c9,identity) = multiply(sk_c8,sk_c6)
    | ~ spl27_9 ),
    inference(superposition,[],[f365,f1386]) ).

fof(f1992,plain,
    ( spl27_1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(avatar_contradiction_clause,[],[f1991]) ).

fof(f1991,plain,
    ( $false
    | spl27_1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(subsumption_resolution,[],[f1910,f1949]) ).

fof(f1910,plain,
    ( sk_c9 != sk_c10
    | spl27_1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(backward_demodulation,[],[f132,f1908]) ).

fof(f1908,plain,
    ( sk_c9 = sF14
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(forward_demodulation,[],[f1907,f1690]) ).

fof(f1907,plain,
    ( sF14 = multiply(sk_c9,sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(forward_demodulation,[],[f69,f1891]) ).

fof(f1891,plain,
    ( sk_c9 = sk_c1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(backward_demodulation,[],[f1857,f1884]) ).

fof(f1884,plain,
    ( sk_c9 = sk_c8
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(backward_demodulation,[],[f1875,f1883]) ).

fof(f1875,plain,
    ( sk_c8 = multiply(sk_c10,sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(backward_demodulation,[],[f1673,f1867]) ).

fof(f1867,plain,
    ( sk_c9 = sk_c6
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_11
    | ~ spl27_42 ),
    inference(forward_demodulation,[],[f1865,f1861]) ).

fof(f1861,plain,
    ( sk_c9 = inverse(sk_c8)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f351,f1857]) ).

fof(f351,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f87,f182]) ).

fof(f182,plain,
    ( sk_c9 = sF23
    | ~ spl27_11 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl27_11
  <=> sk_c9 = sF23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).

fof(f87,plain,
    inverse(sk_c1) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f1865,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_8
    | ~ spl27_9
    | ~ spl27_42 ),
    inference(backward_demodulation,[],[f1192,f1859]) ).

fof(f1859,plain,
    ( sk_c8 = sk_c7
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_8
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f1851,f1690]) ).

fof(f1851,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_8
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f1674,f1692]) ).

fof(f1692,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,X0)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f1645,f1667]) ).

fof(f1645,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl27_9 ),
    inference(superposition,[],[f365,f1456]) ).

fof(f1674,plain,
    ( sk_c8 = multiply(sk_c6,sk_c7)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_8 ),
    inference(backward_demodulation,[],[f1389,f1666]) ).

fof(f1192,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl27_42 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1191,plain,
    ( spl27_42
  <=> inverse(sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_42])]) ).

fof(f1673,plain,
    ( sk_c8 = multiply(sk_c10,sk_c6)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_9 ),
    inference(backward_demodulation,[],[f1386,f1666]) ).

fof(f1857,plain,
    ( sk_c8 = sk_c1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f1672,f1690]) ).

fof(f1672,plain,
    ( sk_c8 = multiply(sk_c9,sk_c1)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f354,f1666]) ).

fof(f354,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl27_11 ),
    inference(superposition,[],[f2,f351]) ).

fof(f69,plain,
    multiply(sk_c1,sk_c9) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f132,plain,
    ( sk_c10 != sF14
    | spl27_1 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl27_1
  <=> sk_c10 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).

fof(f1987,plain,
    ( ~ spl27_23
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5 ),
    inference(avatar_split_clause,[],[f1976,f150,f145,f140,f135,f272]) ).

fof(f272,plain,
    ( spl27_23
  <=> sP10(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).

fof(f1976,plain,
    ( ~ sP10(sk_c9)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_4
    | ~ spl27_5 ),
    inference(backward_demodulation,[],[f61,f1949]) ).

fof(f61,plain,
    ~ sP10(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1575,plain,
    ( ~ spl27_2
    | ~ spl27_4
    | ~ spl27_7
    | spl27_34
    | ~ spl27_38 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | ~ spl27_2
    | ~ spl27_4
    | ~ spl27_7
    | spl27_34
    | ~ spl27_38 ),
    inference(subsumption_resolution,[],[f1573,f1571]) ).

fof(f1571,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl27_2
    | ~ spl27_4
    | ~ spl27_38 ),
    inference(backward_demodulation,[],[f1557,f1558]) ).

fof(f1558,plain,
    ( sk_c9 = sk_c8
    | ~ spl27_2
    | ~ spl27_4
    | ~ spl27_38 ),
    inference(forward_demodulation,[],[f1410,f1557]) ).

fof(f1410,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl27_2
    | ~ spl27_38 ),
    inference(forward_demodulation,[],[f1156,f137]) ).

fof(f1156,plain,
    ( sF13 = inverse(sF13)
    | ~ spl27_38 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1573,plain,
    ( sk_c9 != inverse(sk_c9)
    | ~ spl27_7
    | spl27_34 ),
    inference(forward_demodulation,[],[f1137,f162]) ).

fof(f1137,plain,
    ( sF19 != inverse(sF19)
    | spl27_34 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1135,plain,
    ( spl27_34
  <=> sF19 = inverse(sF19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).

fof(f1550,plain,
    ( ~ spl27_4
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_15
    | spl27_23
    | ~ spl27_34 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | ~ spl27_4
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_15
    | spl27_23
    | ~ spl27_34 ),
    inference(subsumption_resolution,[],[f1548,f60]) ).

fof(f60,plain,
    ~ sP9(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f1548,plain,
    ( sP9(sk_c9)
    | ~ spl27_4
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_15
    | spl27_23
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f1547,f1400]) ).

fof(f1400,plain,
    ( sk_c9 = inverse(sk_c5)
    | ~ spl27_6 ),
    inference(backward_demodulation,[],[f77,f157]) ).

fof(f1547,plain,
    ( sP9(inverse(sk_c5))
    | ~ spl27_4
    | ~ spl27_7
    | ~ spl27_15
    | spl27_23
    | ~ spl27_34 ),
    inference(subsumption_resolution,[],[f1543,f273]) ).

fof(f273,plain,
    ( ~ sP10(sk_c9)
    | spl27_23 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f1543,plain,
    ( sP10(sk_c9)
    | sP9(inverse(sk_c5))
    | ~ spl27_4
    | ~ spl27_7
    | ~ spl27_15
    | ~ spl27_34 ),
    inference(superposition,[],[f235,f1533]) ).

fof(f1533,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl27_4
    | ~ spl27_7
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f1532,f1521]) ).

fof(f1521,plain,
    ( sk_c9 = sk_c8
    | ~ spl27_4
    | ~ spl27_7
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f147,f1517]) ).

fof(f1517,plain,
    ( sk_c9 = sF16
    | ~ spl27_7
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f73,f1411]) ).

fof(f1411,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl27_7
    | ~ spl27_34 ),
    inference(forward_demodulation,[],[f1136,f162]) ).

fof(f1136,plain,
    ( sF19 = inverse(sF19)
    | ~ spl27_34 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f235,plain,
    ( ! [X3] :
        ( sP10(multiply(X3,sk_c9))
        | sP9(inverse(X3)) )
    | ~ spl27_15 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl27_15
  <=> ! [X3] :
        ( sP9(inverse(X3))
        | sP10(multiply(X3,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).

fof(f1515,plain,
    ( ~ spl27_1
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1514,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(subsumption_resolution,[],[f1513,f53]) ).

fof(f1513,plain,
    ( sP2(sk_c9)
    | ~ spl27_1
    | ~ spl27_6
    | ~ spl27_7
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(forward_demodulation,[],[f1512,f1400]) ).

fof(f1512,plain,
    ( sP2(inverse(sk_c5))
    | ~ spl27_1
    | ~ spl27_7
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(subsumption_resolution,[],[f1505,f52]) ).

fof(f1505,plain,
    ( sP1(sk_c9)
    | sP2(inverse(sk_c5))
    | ~ spl27_1
    | ~ spl27_7
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(superposition,[],[f1501,f1392]) ).

fof(f1392,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl27_1
    | ~ spl27_7
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f927,f162]) ).

fof(f927,plain,
    ( sF19 = multiply(sk_c5,sk_c9)
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f79,f923]) ).

fof(f923,plain,
    ( sk_c9 = sk_c8
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(forward_demodulation,[],[f921,f129]) ).

fof(f921,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(superposition,[],[f379,f352]) ).

fof(f352,plain,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | ~ spl27_1 ),
    inference(backward_demodulation,[],[f69,f133]) ).

fof(f133,plain,
    ( sk_c10 = sF14
    | ~ spl27_1 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl27_11 ),
    inference(forward_demodulation,[],[f371,f1]) ).

fof(f371,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl27_11 ),
    inference(superposition,[],[f3,f354]) ).

fof(f1501,plain,
    ( ! [X7] :
        ( sP1(multiply(X7,sk_c9))
        | sP2(inverse(X7)) )
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(forward_demodulation,[],[f252,f923]) ).

fof(f1490,plain,
    ( ~ spl27_9
    | ~ spl27_10
    | ~ spl27_21
    | ~ spl27_42 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_21
    | ~ spl27_42 ),
    inference(subsumption_resolution,[],[f1488,f51]) ).

fof(f51,plain,
    ~ sP0(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1488,plain,
    ( sP0(sk_c10)
    | ~ spl27_9
    | ~ spl27_10
    | ~ spl27_21
    | ~ spl27_42 ),
    inference(forward_demodulation,[],[f1487,f1388]) ).

fof(f1487,plain,
    ( sP0(inverse(sk_c6))
    | ~ spl27_10
    | ~ spl27_21
    | ~ spl27_42 ),
    inference(subsumption_resolution,[],[f1472,f1192]) ).

fof(f1472,plain,
    ( sP0(inverse(sk_c6))
    | inverse(sk_c7) != sk_c6
    | ~ spl27_10
    | ~ spl27_21 ),
    inference(superposition,[],[f255,f257]) ).

fof(f255,plain,
    ( ! [X8] :
        ( sP0(inverse(multiply(X8,sk_c10)))
        | inverse(X8) != multiply(X8,sk_c10) )
    | ~ spl27_21 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl27_21
  <=> ! [X8] :
        ( sP0(inverse(multiply(X8,sk_c10)))
        | inverse(X8) != multiply(X8,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).

fof(f1445,plain,
    ( ~ spl27_1
    | ~ spl27_11
    | ~ spl27_15 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_15 ),
    inference(subsumption_resolution,[],[f1443,f60]) ).

fof(f1443,plain,
    ( sP9(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_15 ),
    inference(forward_demodulation,[],[f1442,f351]) ).

fof(f1442,plain,
    ( sP9(inverse(sk_c1))
    | ~ spl27_1
    | ~ spl27_15 ),
    inference(subsumption_resolution,[],[f1438,f61]) ).

fof(f1438,plain,
    ( sP10(sk_c10)
    | sP9(inverse(sk_c1))
    | ~ spl27_1
    | ~ spl27_15 ),
    inference(superposition,[],[f235,f352]) ).

fof(f1432,plain,
    ( ~ spl27_1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_5
    | ~ spl27_11
    | ~ spl27_16 ),
    inference(avatar_contradiction_clause,[],[f1431]) ).

fof(f1431,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_5
    | ~ spl27_11
    | ~ spl27_16 ),
    inference(subsumption_resolution,[],[f1430,f58]) ).

fof(f1430,plain,
    ( sP7(sk_c10)
    | ~ spl27_1
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_5
    | ~ spl27_11
    | ~ spl27_16 ),
    inference(forward_demodulation,[],[f1429,f1403]) ).

fof(f1403,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl27_3 ),
    inference(backward_demodulation,[],[f71,f142]) ).

fof(f1429,plain,
    ( sP7(inverse(sk_c4))
    | ~ spl27_1
    | ~ spl27_2
    | ~ spl27_5
    | ~ spl27_11
    | ~ spl27_16 ),
    inference(subsumption_resolution,[],[f1428,f59]) ).

fof(f1428,plain,
    ( sP8(sk_c9)
    | sP7(inverse(sk_c4))
    | ~ spl27_1
    | ~ spl27_2
    | ~ spl27_5
    | ~ spl27_11
    | ~ spl27_16 ),
    inference(forward_demodulation,[],[f1421,f1385]) ).

fof(f1385,plain,
    ( sk_c9 = multiply(sk_c10,sk_c9)
    | ~ spl27_1
    | ~ spl27_5
    | ~ spl27_11 ),
    inference(forward_demodulation,[],[f926,f152]) ).

fof(f926,plain,
    ( sF17 = multiply(sk_c10,sk_c9)
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f75,f923]) ).

fof(f1421,plain,
    ( sP8(multiply(sk_c10,sk_c9))
    | sP7(inverse(sk_c4))
    | ~ spl27_2
    | ~ spl27_16 ),
    inference(superposition,[],[f238,f1404]) ).

fof(f238,plain,
    ( ! [X5] :
        ( sP8(multiply(sk_c10,multiply(X5,sk_c10)))
        | sP7(inverse(X5)) )
    | ~ spl27_16 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl27_16
  <=> ! [X5] :
        ( sP7(inverse(X5))
        | sP8(multiply(sk_c10,multiply(X5,sk_c10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).

fof(f1391,plain,
    ( spl27_42
    | ~ spl27_8 ),
    inference(avatar_split_clause,[],[f1390,f165,f1191]) ).

fof(f1390,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl27_8 ),
    inference(backward_demodulation,[],[f81,f167]) ).

fof(f1370,plain,
    ( ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_26 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1369,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_26 ),
    inference(subsumption_resolution,[],[f1368,f997]) ).

fof(f997,plain,
    ( ~ sP7(sk_c9)
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f58,f994]) ).

fof(f994,plain,
    ( sk_c9 = sk_c10
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f992,f350]) ).

fof(f350,plain,
    ( sk_c9 = multiply(sk_c10,sk_c3)
    | ~ spl27_12 ),
    inference(backward_demodulation,[],[f97,f195]) ).

fof(f195,plain,
    ( sk_c9 = sF24
    | ~ spl27_12 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl27_12
  <=> sk_c9 = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).

fof(f97,plain,
    multiply(sk_c10,sk_c3) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f992,plain,
    ( sk_c10 = multiply(sk_c10,sk_c3)
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(superposition,[],[f387,f349]) ).

fof(f349,plain,
    ( sk_c3 = multiply(sk_c2,sk_c10)
    | ~ spl27_13 ),
    inference(backward_demodulation,[],[f107,f208]) ).

fof(f208,plain,
    ( sk_c3 = sF25
    | ~ spl27_13 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl27_13
  <=> sk_c3 = sF25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).

fof(f107,plain,
    multiply(sk_c2,sk_c10) = sF25,
    introduced(function_definition,[new_symbols(definition,[sF25])]) ).

fof(f387,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f386,f1]) ).

fof(f386,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
    | ~ spl27_14 ),
    inference(superposition,[],[f3,f359]) ).

fof(f359,plain,
    ( identity = multiply(sk_c10,sk_c2)
    | ~ spl27_14 ),
    inference(superposition,[],[f2,f348]) ).

fof(f348,plain,
    ( sk_c10 = inverse(sk_c2)
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f117,f221]) ).

fof(f221,plain,
    ( sk_c10 = sF26
    | ~ spl27_14 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl27_14
  <=> sk_c10 = sF26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).

fof(f117,plain,
    inverse(sk_c2) = sF26,
    introduced(function_definition,[new_symbols(definition,[sF26])]) ).

fof(f1368,plain,
    ( sP7(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_26 ),
    inference(forward_demodulation,[],[f1367,f1285]) ).

fof(f1285,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f73,f1281]) ).

fof(f1281,plain,
    ( sk_c9 = sF16
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f1278,f73]) ).

fof(f1278,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f1093,f1269]) ).

fof(f1269,plain,
    ( identity = sk_c9
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f967,f1268]) ).

fof(f1268,plain,
    ( ! [X0] : multiply(sF16,X0) = X0
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f1267,f1]) ).

fof(f1267,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF16,X0)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f1266,f1060]) ).

fof(f1060,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f1059,f1]) ).

fof(f1059,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(superposition,[],[f3,f1031]) ).

fof(f1031,plain,
    ( identity = multiply(sk_c9,identity)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f1009,f937]) ).

fof(f937,plain,
    ( multiply(sk_c9,identity) = multiply(sk_c9,sk_c2)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f413,f923]) ).

fof(f413,plain,
    ( multiply(sk_c9,identity) = multiply(sk_c8,sk_c2)
    | ~ spl27_14 ),
    inference(superposition,[],[f365,f359]) ).

fof(f1009,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f359,f994]) ).

fof(f1093,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f351,f1073]) ).

fof(f1073,plain,
    ( identity = sk_c1
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f354,f1060]) ).

fof(f1367,plain,
    ( sP7(inverse(sk_c9))
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_26 ),
    inference(forward_demodulation,[],[f298,f1269]) ).

fof(f298,plain,
    ( sP7(inverse(identity))
    | ~ spl27_26 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl27_26
  <=> sP7(inverse(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).

fof(f1358,plain,
    ( ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_27 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

fof(f1357,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_27 ),
    inference(subsumption_resolution,[],[f1356,f59]) ).

fof(f1356,plain,
    ( sP8(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f1355,f1060]) ).

fof(f1355,plain,
    ( sP8(multiply(sk_c9,sk_c9))
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_27 ),
    inference(forward_demodulation,[],[f302,f994]) ).

fof(f302,plain,
    ( sP8(multiply(sk_c10,sk_c10))
    | ~ spl27_27 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl27_27
  <=> sP8(multiply(sk_c10,sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).

fof(f1315,plain,
    ( ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_20 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1314,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_20 ),
    inference(subsumption_resolution,[],[f1313,f52]) ).

fof(f1313,plain,
    ( sP1(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_20 ),
    inference(forward_demodulation,[],[f1312,f1060]) ).

fof(f1312,plain,
    ( sP1(multiply(sk_c9,sk_c9))
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_20 ),
    inference(subsumption_resolution,[],[f1307,f53]) ).

fof(f1307,plain,
    ( sP2(sk_c9)
    | sP1(multiply(sk_c9,sk_c9))
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_20 ),
    inference(superposition,[],[f1284,f1285]) ).

fof(f1284,plain,
    ( ! [X7] :
        ( sP2(inverse(X7))
        | sP1(multiply(X7,sk_c9)) )
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_20 ),
    inference(forward_demodulation,[],[f252,f923]) ).

fof(f1283,plain,
    ( ~ spl27_1
    | spl27_4
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(avatar_contradiction_clause,[],[f1282]) ).

fof(f1282,plain,
    ( $false
    | ~ spl27_1
    | spl27_4
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(subsumption_resolution,[],[f1281,f929]) ).

fof(f929,plain,
    ( sk_c9 != sF16
    | ~ spl27_1
    | spl27_4
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f146,f923]) ).

fof(f146,plain,
    ( sk_c8 != sF16
    | spl27_4 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f1271,plain,
    ( ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(avatar_contradiction_clause,[],[f1270]) ).

fof(f1270,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(subsumption_resolution,[],[f1269,f1239]) ).

fof(f1239,plain,
    ( identity != sk_c9
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(forward_demodulation,[],[f1238,f1093]) ).

fof(f1238,plain,
    ( identity != inverse(identity)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(subsumption_resolution,[],[f1237,f995]) ).

fof(f995,plain,
    ( ~ sP0(sk_c9)
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f51,f994]) ).

fof(f1237,plain,
    ( sP0(sk_c9)
    | identity != inverse(identity)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(forward_demodulation,[],[f1231,f1093]) ).

fof(f1231,plain,
    ( sP0(inverse(identity))
    | identity != inverse(identity)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(superposition,[],[f1197,f2]) ).

fof(f1197,plain,
    ( ! [X0] :
        ( sP0(inverse(multiply(X0,sF19)))
        | multiply(X0,sF19) != inverse(multiply(X0,sF19)) )
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(superposition,[],[f1133,f1078]) ).

fof(f1078,plain,
    ( sF19 = multiply(sF19,sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f927,f1061]) ).

fof(f1061,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sF19,X0)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f947,f1060]) ).

fof(f947,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c9,X0)) = multiply(sF19,X0)
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(superposition,[],[f3,f927]) ).

fof(f1133,plain,
    ( ! [X0,X1] :
        ( sP0(inverse(multiply(X0,multiply(X1,sk_c9))))
        | multiply(X0,multiply(X1,sk_c9)) != inverse(multiply(X0,X1)) )
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(superposition,[],[f1110,f3]) ).

fof(f1110,plain,
    ( ! [X8] :
        ( sP0(inverse(multiply(X8,sk_c9)))
        | inverse(X8) != multiply(X8,sk_c9) )
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(forward_demodulation,[],[f1109,f994]) ).

fof(f1109,plain,
    ( ! [X8] :
        ( sP0(inverse(multiply(X8,sk_c9)))
        | inverse(X8) != multiply(X8,sk_c10) )
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_21 ),
    inference(forward_demodulation,[],[f255,f994]) ).

fof(f1106,plain,
    ( ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_33 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_33 ),
    inference(subsumption_resolution,[],[f1104,f57]) ).

fof(f57,plain,
    ~ sP6(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f1104,plain,
    ( sP6(sk_c9)
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_33 ),
    inference(forward_demodulation,[],[f339,f994]) ).

fof(f339,plain,
    ( sP6(sk_c10)
    | ~ spl27_33 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl27_33
  <=> sP6(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).

fof(f1097,plain,
    ( ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_32 ),
    inference(avatar_contradiction_clause,[],[f1096]) ).

fof(f1096,plain,
    ( $false
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_32 ),
    inference(subsumption_resolution,[],[f1095,f996]) ).

fof(f996,plain,
    ( ~ sP5(sk_c9)
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f56,f994]) ).

fof(f56,plain,
    ~ sP5(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f1095,plain,
    ( sP5(sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14
    | ~ spl27_32 ),
    inference(backward_demodulation,[],[f335,f1093]) ).

fof(f335,plain,
    ( sP5(inverse(identity))
    | ~ spl27_32 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl27_32
  <=> sP5(inverse(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).

fof(f1047,plain,
    ( spl27_5
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(avatar_split_clause,[],[f1041,f219,f206,f193,f180,f131,f150]) ).

fof(f1041,plain,
    ( sk_c9 = sF17
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(forward_demodulation,[],[f1017,f1021]) ).

fof(f1021,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f940,f994]) ).

fof(f940,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(forward_demodulation,[],[f933,f352]) ).

fof(f933,plain,
    ( multiply(sk_c1,sk_c9) = multiply(sk_c10,sk_c10)
    | ~ spl27_1
    | ~ spl27_11 ),
    inference(backward_demodulation,[],[f400,f923]) ).

fof(f400,plain,
    ( multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c8)
    | ~ spl27_1 ),
    inference(superposition,[],[f363,f129]) ).

fof(f363,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
    | ~ spl27_1 ),
    inference(superposition,[],[f3,f352]) ).

fof(f1017,plain,
    ( sF17 = multiply(sk_c9,sk_c9)
    | ~ spl27_1
    | ~ spl27_11
    | ~ spl27_12
    | ~ spl27_13
    | ~ spl27_14 ),
    inference(backward_demodulation,[],[f926,f994]) ).

fof(f346,plain,
    ( ~ spl27_5
    | ~ spl27_19 ),
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | ~ spl27_5
    | ~ spl27_19 ),
    inference(subsumption_resolution,[],[f344,f54]) ).

fof(f54,plain,
    ~ sP3(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f344,plain,
    ( sP3(sk_c9)
    | ~ spl27_5
    | ~ spl27_19 ),
    inference(forward_demodulation,[],[f249,f152]) ).

fof(f249,plain,
    ( sP3(sF17)
    | ~ spl27_19 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl27_19
  <=> sP3(sF17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).

fof(f343,plain,
    ( ~ spl27_4
    | ~ spl27_18 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl27_4
    | ~ spl27_18 ),
    inference(subsumption_resolution,[],[f341,f55]) ).

fof(f55,plain,
    ~ sP4(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f341,plain,
    ( sP4(sk_c8)
    | ~ spl27_4
    | ~ spl27_18 ),
    inference(forward_demodulation,[],[f245,f147]) ).

fof(f245,plain,
    ( sP4(sF16)
    | ~ spl27_18 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl27_18
  <=> sP4(sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).

fof(f340,plain,
    ( spl27_32
    | spl27_33
    | ~ spl27_17 ),
    inference(avatar_split_clause,[],[f307,f240,f337,f333]) ).

fof(f240,plain,
    ( spl27_17
  <=> ! [X6] :
        ( sP5(inverse(X6))
        | sP6(multiply(X6,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).

fof(f307,plain,
    ( sP6(sk_c10)
    | sP5(inverse(identity))
    | ~ spl27_17 ),
    inference(superposition,[],[f241,f1]) ).

fof(f241,plain,
    ( ! [X6] :
        ( sP6(multiply(X6,sk_c10))
        | sP5(inverse(X6)) )
    | ~ spl27_17 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f331,plain,
    ( ~ spl27_2
    | ~ spl27_3
    | ~ spl27_17 ),
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_17 ),
    inference(subsumption_resolution,[],[f329,f56]) ).

fof(f329,plain,
    ( sP5(sk_c10)
    | ~ spl27_2
    | ~ spl27_3
    | ~ spl27_17 ),
    inference(forward_demodulation,[],[f328,f264]) ).

fof(f264,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl27_3 ),
    inference(backward_demodulation,[],[f71,f142]) ).

fof(f328,plain,
    ( sP5(inverse(sk_c4))
    | ~ spl27_2
    | ~ spl27_17 ),
    inference(subsumption_resolution,[],[f306,f57]) ).

fof(f306,plain,
    ( sP6(sk_c9)
    | sP5(inverse(sk_c4))
    | ~ spl27_2
    | ~ spl27_17 ),
    inference(superposition,[],[f241,f265]) ).

fof(f265,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl27_2 ),
    inference(backward_demodulation,[],[f68,f137]) ).

fof(f303,plain,
    ( spl27_26
    | spl27_27
    | ~ spl27_16 ),
    inference(avatar_split_clause,[],[f279,f237,f300,f296]) ).

fof(f279,plain,
    ( sP8(multiply(sk_c10,sk_c10))
    | sP7(inverse(identity))
    | ~ spl27_16 ),
    inference(superposition,[],[f238,f1]) ).

fof(f292,plain,
    ( spl27_24
    | spl27_25
    | ~ spl27_8
    | ~ spl27_10
    | ~ spl27_16 ),
    inference(avatar_split_clause,[],[f283,f237,f175,f165,f289,f285]) ).

fof(f283,plain,
    ( sP7(sk_c6)
    | sP8(multiply(sk_c10,sk_c6))
    | ~ spl27_8
    | ~ spl27_10
    | ~ spl27_16 ),
    inference(forward_demodulation,[],[f277,f259]) ).

fof(f259,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl27_8 ),
    inference(backward_demodulation,[],[f81,f167]) ).

fof(f277,plain,
    ( sP8(multiply(sk_c10,sk_c6))
    | sP7(inverse(sk_c7))
    | ~ spl27_10
    | ~ spl27_16 ),
    inference(superposition,[],[f238,f257]) ).

fof(f256,plain,
    ( spl27_15
    | spl27_16
    | spl27_17
    | spl27_18
    | spl27_19
    | spl27_20
    | spl27_21 ),
    inference(avatar_split_clause,[],[f232,f254,f251,f247,f243,f240,f237,f234]) ).

fof(f232,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sP0(inverse(multiply(X8,sk_c10)))
      | inverse(X8) != multiply(X8,sk_c10)
      | sP1(multiply(X7,sk_c8))
      | sP2(inverse(X7))
      | sP3(sF17)
      | sP4(sF16)
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(inverse(X5))
      | sP8(multiply(sk_c10,multiply(X5,sk_c10)))
      | sP9(inverse(X3))
      | sP10(multiply(X3,sk_c9)) ),
    inference(subsumption_resolution,[],[f128,f231]) ).

fof(f231,plain,
    ~ sP11(sk_c8),
    inference(forward_demodulation,[],[f127,f67]) ).

fof(f127,plain,
    ~ sP11(sF12),
    inference(definition_folding,[],[f62,f66]) ).

fof(f62,plain,
    ~ sP11(multiply(sk_c9,sk_c10)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).

fof(f128,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sP0(inverse(multiply(X8,sk_c10)))
      | inverse(X8) != multiply(X8,sk_c10)
      | sP1(multiply(X7,sk_c8))
      | sP2(inverse(X7))
      | sP3(sF17)
      | sP4(sF16)
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(inverse(X5))
      | sP8(multiply(sk_c10,multiply(X5,sk_c10)))
      | sP9(inverse(X3))
      | sP10(multiply(X3,sk_c9))
      | sP11(sk_c8) ),
    inference(definition_folding,[],[f65,f73,f75]) ).

fof(f65,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sP0(inverse(multiply(X8,sk_c10)))
      | inverse(X8) != multiply(X8,sk_c10)
      | sP1(multiply(X7,sk_c8))
      | sP2(inverse(X7))
      | sP3(multiply(sk_c10,sk_c8))
      | sP4(inverse(sk_c9))
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(inverse(X5))
      | sP8(multiply(sk_c10,multiply(X5,sk_c10)))
      | sP9(inverse(X3))
      | sP10(multiply(X3,sk_c9))
      | sP11(sk_c8) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sP0(inverse(multiply(X8,sk_c10)))
      | inverse(X8) != multiply(X8,sk_c10)
      | sP1(multiply(X7,sk_c8))
      | sP2(inverse(X7))
      | sP3(multiply(sk_c10,sk_c8))
      | sP4(inverse(sk_c9))
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(inverse(X5))
      | multiply(X5,sk_c10) != X4
      | sP8(multiply(sk_c10,X4))
      | sP9(inverse(X3))
      | sP10(multiply(X3,sk_c9))
      | sP11(sk_c8) ),
    inference(equality_resolution,[],[f63]) ).

fof(f63,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( multiply(X8,sk_c10) != X9
      | sP0(inverse(X9))
      | inverse(X8) != X9
      | sP1(multiply(X7,sk_c8))
      | sP2(inverse(X7))
      | sP3(multiply(sk_c10,sk_c8))
      | sP4(inverse(sk_c9))
      | sP5(inverse(X6))
      | sP6(multiply(X6,sk_c10))
      | sP7(inverse(X5))
      | multiply(X5,sk_c10) != X4
      | sP8(multiply(sk_c10,X4))
      | sP9(inverse(X3))
      | sP10(multiply(X3,sk_c9))
      | sP11(sk_c8) ),
    inference(inequality_splitting,[],[f50,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).

fof(f50,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( multiply(X8,sk_c10) != X9
      | sk_c10 != inverse(X9)
      | inverse(X8) != X9
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c9 != inverse(X7)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c8 != inverse(sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c10 != inverse(X5)
      | multiply(X5,sk_c10) != X4
      | sk_c9 != multiply(sk_c10,X4)
      | sk_c9 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c9)
      | multiply(sk_c9,sk_c10) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

fof(f230,plain,
    ( spl27_14
    | spl27_10 ),
    inference(avatar_split_clause,[],[f126,f175,f219]) ).

fof(f126,plain,
    ( sk_c6 = sF22
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f49,f117,f85]) ).

fof(f49,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

fof(f229,plain,
    ( spl27_14
    | spl27_9 ),
    inference(avatar_split_clause,[],[f125,f170,f219]) ).

fof(f125,plain,
    ( sk_c10 = sF21
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f48,f117,f83]) ).

fof(f48,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

fof(f228,plain,
    ( spl27_14
    | spl27_8 ),
    inference(avatar_split_clause,[],[f124,f165,f219]) ).

fof(f124,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f47,f117,f81]) ).

fof(f47,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

fof(f227,plain,
    ( spl27_14
    | spl27_7 ),
    inference(avatar_split_clause,[],[f123,f160,f219]) ).

fof(f123,plain,
    ( sk_c9 = sF19
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f46,f117,f79]) ).

fof(f46,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

fof(f226,plain,
    ( spl27_14
    | spl27_6 ),
    inference(avatar_split_clause,[],[f122,f155,f219]) ).

fof(f122,plain,
    ( sk_c9 = sF18
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f45,f117,f77]) ).

fof(f45,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

fof(f225,plain,
    ( spl27_14
    | spl27_5 ),
    inference(avatar_split_clause,[],[f121,f150,f219]) ).

fof(f121,plain,
    ( sk_c9 = sF17
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f44,f117,f75]) ).

fof(f44,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

fof(f224,plain,
    ( spl27_14
    | spl27_4 ),
    inference(avatar_split_clause,[],[f120,f145,f219]) ).

fof(f120,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f43,f117,f73]) ).

fof(f43,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f223,plain,
    ( spl27_14
    | spl27_3 ),
    inference(avatar_split_clause,[],[f119,f140,f219]) ).

fof(f119,plain,
    ( sk_c10 = sF15
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f42,f117,f71]) ).

fof(f42,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

fof(f222,plain,
    ( spl27_14
    | spl27_2 ),
    inference(avatar_split_clause,[],[f118,f135,f219]) ).

fof(f118,plain,
    ( sk_c9 = sF13
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f41,f117,f68]) ).

fof(f41,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

fof(f217,plain,
    ( spl27_13
    | spl27_10 ),
    inference(avatar_split_clause,[],[f116,f175,f206]) ).

fof(f116,plain,
    ( sk_c6 = sF22
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f40,f107,f85]) ).

fof(f40,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f216,plain,
    ( spl27_13
    | spl27_9 ),
    inference(avatar_split_clause,[],[f115,f170,f206]) ).

fof(f115,plain,
    ( sk_c10 = sF21
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f39,f107,f83]) ).

fof(f39,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f215,plain,
    ( spl27_13
    | spl27_8 ),
    inference(avatar_split_clause,[],[f114,f165,f206]) ).

fof(f114,plain,
    ( sk_c6 = sF20
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f38,f107,f81]) ).

fof(f38,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f212,plain,
    ( spl27_13
    | spl27_5 ),
    inference(avatar_split_clause,[],[f111,f150,f206]) ).

fof(f111,plain,
    ( sk_c9 = sF17
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f35,f107,f75]) ).

fof(f35,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f211,plain,
    ( spl27_13
    | spl27_4 ),
    inference(avatar_split_clause,[],[f110,f145,f206]) ).

fof(f110,plain,
    ( sk_c8 = sF16
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f34,f107,f73]) ).

fof(f34,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f210,plain,
    ( spl27_13
    | spl27_3 ),
    inference(avatar_split_clause,[],[f109,f140,f206]) ).

fof(f109,plain,
    ( sk_c10 = sF15
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f33,f107,f71]) ).

fof(f33,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f209,plain,
    ( spl27_13
    | spl27_2 ),
    inference(avatar_split_clause,[],[f108,f135,f206]) ).

fof(f108,plain,
    ( sk_c9 = sF13
    | sk_c3 = sF25 ),
    inference(definition_folding,[],[f32,f107,f68]) ).

fof(f32,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c3 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f204,plain,
    ( spl27_12
    | spl27_10 ),
    inference(avatar_split_clause,[],[f106,f175,f193]) ).

fof(f106,plain,
    ( sk_c6 = sF22
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f31,f97,f85]) ).

fof(f31,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f203,plain,
    ( spl27_12
    | spl27_9 ),
    inference(avatar_split_clause,[],[f105,f170,f193]) ).

fof(f105,plain,
    ( sk_c10 = sF21
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f30,f97,f83]) ).

fof(f30,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f202,plain,
    ( spl27_12
    | spl27_8 ),
    inference(avatar_split_clause,[],[f104,f165,f193]) ).

fof(f104,plain,
    ( sk_c6 = sF20
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f29,f97,f81]) ).

fof(f29,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f201,plain,
    ( spl27_12
    | spl27_7 ),
    inference(avatar_split_clause,[],[f103,f160,f193]) ).

fof(f103,plain,
    ( sk_c9 = sF19
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f28,f97,f79]) ).

fof(f28,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f200,plain,
    ( spl27_12
    | spl27_6 ),
    inference(avatar_split_clause,[],[f102,f155,f193]) ).

fof(f102,plain,
    ( sk_c9 = sF18
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f27,f97,f77]) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f199,plain,
    ( spl27_12
    | spl27_5 ),
    inference(avatar_split_clause,[],[f101,f150,f193]) ).

fof(f101,plain,
    ( sk_c9 = sF17
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f26,f97,f75]) ).

fof(f26,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f198,plain,
    ( spl27_12
    | spl27_4 ),
    inference(avatar_split_clause,[],[f100,f145,f193]) ).

fof(f100,plain,
    ( sk_c8 = sF16
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f25,f97,f73]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f197,plain,
    ( spl27_12
    | spl27_3 ),
    inference(avatar_split_clause,[],[f99,f140,f193]) ).

fof(f99,plain,
    ( sk_c10 = sF15
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f24,f97,f71]) ).

fof(f24,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f196,plain,
    ( spl27_12
    | spl27_2 ),
    inference(avatar_split_clause,[],[f98,f135,f193]) ).

fof(f98,plain,
    ( sk_c9 = sF13
    | sk_c9 = sF24 ),
    inference(definition_folding,[],[f23,f97,f68]) ).

fof(f23,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c10,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f191,plain,
    ( spl27_11
    | spl27_10 ),
    inference(avatar_split_clause,[],[f96,f175,f180]) ).

fof(f96,plain,
    ( sk_c6 = sF22
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f22,f87,f85]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c10)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f190,plain,
    ( spl27_11
    | spl27_9 ),
    inference(avatar_split_clause,[],[f95,f170,f180]) ).

fof(f95,plain,
    ( sk_c10 = sF21
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f21,f87,f83]) ).

fof(f21,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f189,plain,
    ( spl27_11
    | spl27_8 ),
    inference(avatar_split_clause,[],[f94,f165,f180]) ).

fof(f94,plain,
    ( sk_c6 = sF20
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f20,f87,f81]) ).

fof(f20,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f188,plain,
    ( spl27_11
    | spl27_7 ),
    inference(avatar_split_clause,[],[f93,f160,f180]) ).

fof(f93,plain,
    ( sk_c9 = sF19
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f19,f87,f79]) ).

fof(f19,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f187,plain,
    ( spl27_11
    | spl27_6 ),
    inference(avatar_split_clause,[],[f92,f155,f180]) ).

fof(f92,plain,
    ( sk_c9 = sF18
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f18,f87,f77]) ).

fof(f18,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f186,plain,
    ( spl27_11
    | spl27_5 ),
    inference(avatar_split_clause,[],[f91,f150,f180]) ).

fof(f91,plain,
    ( sk_c9 = sF17
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f17,f87,f75]) ).

fof(f17,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f185,plain,
    ( spl27_11
    | spl27_4 ),
    inference(avatar_split_clause,[],[f90,f145,f180]) ).

fof(f90,plain,
    ( sk_c8 = sF16
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f16,f87,f73]) ).

fof(f16,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f184,plain,
    ( spl27_11
    | spl27_3 ),
    inference(avatar_split_clause,[],[f89,f140,f180]) ).

fof(f89,plain,
    ( sk_c10 = sF15
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f15,f87,f71]) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f183,plain,
    ( spl27_11
    | spl27_2 ),
    inference(avatar_split_clause,[],[f88,f135,f180]) ).

fof(f88,plain,
    ( sk_c9 = sF13
    | sk_c9 = sF23 ),
    inference(definition_folding,[],[f14,f87,f68]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f173,plain,
    ( spl27_1
    | spl27_9 ),
    inference(avatar_split_clause,[],[f84,f170,f131]) ).

fof(f84,plain,
    ( sk_c10 = sF21
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f12,f69,f83]) ).

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f168,plain,
    ( spl27_1
    | spl27_8 ),
    inference(avatar_split_clause,[],[f82,f165,f131]) ).

fof(f82,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f11,f69,f81]) ).

fof(f11,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f153,plain,
    ( spl27_1
    | spl27_5 ),
    inference(avatar_split_clause,[],[f76,f150,f131]) ).

fof(f76,plain,
    ( sk_c9 = sF17
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f8,f69,f75]) ).

fof(f8,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f148,plain,
    ( spl27_1
    | spl27_4 ),
    inference(avatar_split_clause,[],[f74,f145,f131]) ).

fof(f74,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f7,f69,f73]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c9)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f143,plain,
    ( spl27_1
    | spl27_3 ),
    inference(avatar_split_clause,[],[f72,f140,f131]) ).

fof(f72,plain,
    ( sk_c10 = sF15
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f6,f69,f71]) ).

fof(f6,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f138,plain,
    ( spl27_1
    | spl27_2 ),
    inference(avatar_split_clause,[],[f70,f135,f131]) ).

fof(f70,plain,
    ( sk_c9 = sF13
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f5,f69,f68]) ).

fof(f5,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP325-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34  % Computer : n023.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sun May 19 04:10:38 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.77  % (8175)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.59/0.77  % (8178)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.59/0.77  % (8176)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.59/0.77  % (8180)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.59/0.77  % (8179)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.59/0.77  % (8177)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.77  % (8183)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.77  % (8181)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.59/0.77  % (8175)Refutation not found, incomplete strategy% (8175)------------------------------
% 0.59/0.77  % (8175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (8175)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (8175)Memory used [KB]: 1084
% 0.59/0.77  % (8175)Time elapsed: 0.003 s
% 0.59/0.77  % (8175)Instructions burned: 5 (million)
% 0.59/0.77  % (8175)------------------------------
% 0.59/0.77  % (8175)------------------------------
% 0.59/0.77  % (8183)Refutation not found, incomplete strategy% (8183)------------------------------
% 0.59/0.77  % (8183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (8183)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (8183)Memory used [KB]: 1085
% 0.59/0.77  % (8183)Time elapsed: 0.003 s
% 0.59/0.77  % (8183)Instructions burned: 5 (million)
% 0.59/0.77  % (8179)Refutation not found, incomplete strategy% (8179)------------------------------
% 0.59/0.77  % (8179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (8183)------------------------------
% 0.59/0.77  % (8183)------------------------------
% 0.59/0.77  % (8179)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (8179)Memory used [KB]: 1102
% 0.59/0.77  % (8179)Time elapsed: 0.004 s
% 0.59/0.77  % (8179)Instructions burned: 5 (million)
% 0.59/0.77  % (8178)Refutation not found, incomplete strategy% (8178)------------------------------
% 0.59/0.77  % (8178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (8178)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (8178)Memory used [KB]: 1069
% 0.59/0.77  % (8179)------------------------------
% 0.59/0.77  % (8179)------------------------------
% 0.59/0.77  % (8178)Time elapsed: 0.004 s
% 0.59/0.77  % (8178)Instructions burned: 6 (million)
% 0.59/0.77  % (8178)------------------------------
% 0.59/0.77  % (8178)------------------------------
% 0.59/0.78  % (8184)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.59/0.78  % (8186)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.59/0.78  % (8187)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.59/0.78  % (8185)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.59/0.78  % (8185)Refutation not found, incomplete strategy% (8185)------------------------------
% 0.59/0.78  % (8185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (8185)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (8185)Memory used [KB]: 1079
% 0.59/0.78  % (8185)Time elapsed: 0.005 s
% 0.59/0.78  % (8185)Instructions burned: 7 (million)
% 0.59/0.78  % (8185)------------------------------
% 0.59/0.78  % (8185)------------------------------
% 0.65/0.79  % (8180)Instruction limit reached!
% 0.65/0.79  % (8180)------------------------------
% 0.65/0.79  % (8180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (8180)Termination reason: Unknown
% 0.65/0.79  % (8180)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (8180)Memory used [KB]: 1582
% 0.65/0.79  % (8180)Time elapsed: 0.022 s
% 0.65/0.79  % (8180)Instructions burned: 45 (million)
% 0.65/0.79  % (8180)------------------------------
% 0.65/0.79  % (8180)------------------------------
% 0.65/0.79  % (8184)Instruction limit reached!
% 0.65/0.79  % (8184)------------------------------
% 0.65/0.79  % (8184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (8184)Termination reason: Unknown
% 0.65/0.79  % (8184)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (8184)Memory used [KB]: 1804
% 0.65/0.79  % (8184)Time elapsed: 0.018 s
% 0.65/0.79  % (8184)Instructions burned: 56 (million)
% 0.65/0.79  % (8184)------------------------------
% 0.65/0.79  % (8184)------------------------------
% 0.65/0.79  % (8188)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.65/0.80  % (8189)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.65/0.80  % (8176)Instruction limit reached!
% 0.65/0.80  % (8176)------------------------------
% 0.65/0.80  % (8176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (8176)Termination reason: Unknown
% 0.65/0.80  % (8176)Termination phase: Saturation
% 0.65/0.80  
% 0.65/0.80  % (8176)Memory used [KB]: 1685
% 0.65/0.80  % (8176)Time elapsed: 0.027 s
% 0.65/0.80  % (8176)Instructions burned: 51 (million)
% 0.65/0.80  % (8176)------------------------------
% 0.65/0.80  % (8176)------------------------------
% 0.65/0.80  % (8190)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.65/0.80  % (8189)Refutation not found, incomplete strategy% (8189)------------------------------
% 0.65/0.80  % (8189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (8189)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80  
% 0.65/0.80  % (8189)Memory used [KB]: 1044
% 0.65/0.80  % (8189)Time elapsed: 0.004 s
% 0.65/0.80  % (8189)Instructions burned: 5 (million)
% 0.65/0.80  % (8189)------------------------------
% 0.65/0.80  % (8189)------------------------------
% 0.65/0.80  % (8187)Instruction limit reached!
% 0.65/0.80  % (8187)------------------------------
% 0.65/0.80  % (8187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (8187)Termination reason: Unknown
% 0.65/0.80  % (8187)Termination phase: Saturation
% 0.65/0.80  
% 0.65/0.80  % (8187)Memory used [KB]: 1695
% 0.65/0.80  % (8187)Time elapsed: 0.024 s
% 0.65/0.80  % (8187)Instructions burned: 52 (million)
% 0.65/0.80  % (8187)------------------------------
% 0.65/0.80  % (8187)------------------------------
% 0.65/0.80  % (8192)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.65/0.80  % (8191)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.65/0.80  % (8192)Refutation not found, incomplete strategy% (8192)------------------------------
% 0.65/0.80  % (8192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (8192)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80  
% 0.65/0.80  % (8192)Memory used [KB]: 1087
% 0.65/0.80  % (8192)Time elapsed: 0.004 s
% 0.65/0.80  % (8192)Instructions burned: 5 (million)
% 0.65/0.80  % (8192)------------------------------
% 0.65/0.80  % (8192)------------------------------
% 0.65/0.80  % (8191)Refutation not found, incomplete strategy% (8191)------------------------------
% 0.65/0.80  % (8191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (8191)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80  
% 0.65/0.80  % (8191)Memory used [KB]: 1022
% 0.65/0.80  % (8191)Time elapsed: 0.003 s
% 0.65/0.80  % (8191)Instructions burned: 5 (million)
% 0.65/0.80  % (8191)------------------------------
% 0.65/0.80  % (8191)------------------------------
% 0.65/0.81  % (8193)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.65/0.81  % (8190)Refutation not found, incomplete strategy% (8190)------------------------------
% 0.65/0.81  % (8190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (8190)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (8190)Memory used [KB]: 1189
% 0.65/0.81  % (8190)Time elapsed: 0.010 s
% 0.65/0.81  % (8190)Instructions burned: 18 (million)
% 0.65/0.81  % (8190)------------------------------
% 0.65/0.81  % (8190)------------------------------
% 0.65/0.81  % (8194)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.65/0.81  % (8195)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.65/0.81  % (8194)Refutation not found, incomplete strategy% (8194)------------------------------
% 0.65/0.81  % (8194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (8194)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (8194)Memory used [KB]: 1022
% 0.65/0.81  % (8194)Time elapsed: 0.003 s
% 0.65/0.81  % (8194)Instructions burned: 4 (million)
% 0.65/0.81  % (8194)------------------------------
% 0.65/0.81  % (8194)------------------------------
% 0.65/0.81  % (8181)Instruction limit reached!
% 0.65/0.81  % (8181)------------------------------
% 0.65/0.81  % (8181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (8181)Termination reason: Unknown
% 0.65/0.81  % (8181)Termination phase: Saturation
% 0.65/0.81  
% 0.65/0.81  % (8181)Memory used [KB]: 2009
% 0.65/0.81  % (8181)Time elapsed: 0.041 s
% 0.65/0.81  % (8181)Instructions burned: 85 (million)
% 0.65/0.81  % (8181)------------------------------
% 0.65/0.81  % (8181)------------------------------
% 0.65/0.81  % (8196)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.65/0.81  % (8177)Instruction limit reached!
% 0.65/0.81  % (8177)------------------------------
% 0.65/0.81  % (8177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (8177)Termination reason: Unknown
% 0.65/0.81  % (8177)Termination phase: Saturation
% 0.65/0.81  
% 0.65/0.81  % (8177)Memory used [KB]: 1987
% 0.65/0.81  % (8177)Time elapsed: 0.043 s
% 0.65/0.81  % (8177)Instructions burned: 79 (million)
% 0.65/0.81  % (8177)------------------------------
% 0.65/0.81  % (8177)------------------------------
% 0.65/0.81  % (8198)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.65/0.82  % (8199)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.65/0.82  % (8199)Refutation not found, incomplete strategy% (8199)------------------------------
% 0.65/0.82  % (8199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (8199)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (8199)Memory used [KB]: 1103
% 0.65/0.82  % (8199)Time elapsed: 0.004 s
% 0.65/0.82  % (8199)Instructions burned: 5 (million)
% 0.65/0.82  % (8199)------------------------------
% 0.65/0.82  % (8199)------------------------------
% 0.65/0.82  % (8197)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.65/0.82  % (8195)Instruction limit reached!
% 0.65/0.82  % (8195)------------------------------
% 0.65/0.82  % (8195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (8195)Termination reason: Unknown
% 0.65/0.82  % (8195)Termination phase: Saturation
% 0.65/0.82  
% 0.65/0.82  % (8195)Memory used [KB]: 1423
% 0.65/0.82  % (8195)Time elapsed: 0.017 s
% 0.65/0.82  % (8195)Instructions burned: 33 (million)
% 0.65/0.82  % (8195)------------------------------
% 0.65/0.82  % (8195)------------------------------
% 0.65/0.82  % (8197)Refutation not found, incomplete strategy% (8197)------------------------------
% 0.65/0.82  % (8197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (8197)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (8197)Memory used [KB]: 1106
% 0.65/0.82  % (8197)Time elapsed: 0.026 s
% 0.65/0.82  % (8197)Instructions burned: 6 (million)
% 0.65/0.82  % (8197)------------------------------
% 0.65/0.82  % (8197)------------------------------
% 0.65/0.83  % (8200)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.65/0.83  % (8202)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.65/0.83  % (8201)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.65/0.84  % (8198)Instruction limit reached!
% 0.65/0.84  % (8198)------------------------------
% 0.65/0.84  % (8198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (8198)Termination reason: Unknown
% 0.65/0.84  % (8198)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (8198)Memory used [KB]: 1227
% 0.65/0.84  % (8198)Time elapsed: 0.027 s
% 0.65/0.84  % (8198)Instructions burned: 54 (million)
% 0.65/0.84  % (8198)------------------------------
% 0.65/0.84  % (8198)------------------------------
% 0.65/0.85  % (8201)Instruction limit reached!
% 0.65/0.85  % (8201)------------------------------
% 0.65/0.85  % (8201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.85  % (8201)Termination reason: Unknown
% 0.65/0.85  % (8201)Termination phase: Saturation
% 0.65/0.85  
% 0.65/0.85  % (8201)Memory used [KB]: 1197
% 0.65/0.85  % (8201)Time elapsed: 0.040 s
% 0.65/0.85  % (8201)Instructions burned: 35 (million)
% 0.65/0.85  % (8201)------------------------------
% 0.65/0.85  % (8201)------------------------------
% 0.65/0.85  % (8204)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.95/0.85  % (8193)Instruction limit reached!
% 0.95/0.85  % (8193)------------------------------
% 0.95/0.85  % (8193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (8193)Termination reason: Unknown
% 0.95/0.85  % (8193)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (8193)Memory used [KB]: 2129
% 0.95/0.85  % (8193)Time elapsed: 0.048 s
% 0.95/0.85  % (8193)Instructions burned: 93 (million)
% 0.95/0.85  % (8193)------------------------------
% 0.95/0.85  % (8193)------------------------------
% 0.95/0.85  % (8204)Refutation not found, incomplete strategy% (8204)------------------------------
% 0.95/0.85  % (8204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (8204)Termination reason: Refutation not found, incomplete strategy
% 0.95/0.85  
% 0.95/0.85  % (8204)Memory used [KB]: 998
% 0.95/0.85  % (8204)Time elapsed: 0.025 s
% 0.95/0.85  % (8204)Instructions burned: 5 (million)
% 0.95/0.85  % (8204)------------------------------
% 0.95/0.85  % (8204)------------------------------
% 0.95/0.86  % (8203)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.95/0.86  % (8205)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.95/0.86  % (8206)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.95/0.86  % (8205)Refutation not found, incomplete strategy% (8205)------------------------------
% 0.95/0.86  % (8205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.86  % (8205)Termination reason: Refutation not found, incomplete strategy
% 0.95/0.86  
% 0.95/0.86  % (8205)Memory used [KB]: 1108
% 0.95/0.86  % (8205)Time elapsed: 0.004 s
% 0.95/0.86  % (8205)Instructions burned: 5 (million)
% 0.95/0.86  % (8205)------------------------------
% 0.95/0.86  % (8205)------------------------------
% 1.01/0.86  % (8202)Instruction limit reached!
% 1.01/0.86  % (8202)------------------------------
% 1.01/0.86  % (8202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.86  % (8202)Termination reason: Unknown
% 1.01/0.86  % (8202)Termination phase: Saturation
% 1.01/0.86  
% 1.01/0.86  % (8202)Memory used [KB]: 1402
% 1.01/0.86  % (8202)Time elapsed: 0.059 s
% 1.01/0.86  % (8202)Instructions burned: 87 (million)
% 1.01/0.86  % (8202)------------------------------
% 1.01/0.86  % (8202)------------------------------
% 1.01/0.87  % (8208)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 1.01/0.87  % (8207)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 1.01/0.87  % (8186)Instruction limit reached!
% 1.01/0.87  % (8186)------------------------------
% 1.01/0.87  % (8186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.87  % (8186)Termination reason: Unknown
% 1.01/0.87  % (8186)Termination phase: Saturation
% 1.01/0.87  
% 1.01/0.87  % (8186)Memory used [KB]: 3272
% 1.01/0.87  % (8186)Time elapsed: 0.096 s
% 1.01/0.87  % (8186)Instructions burned: 209 (million)
% 1.01/0.87  % (8186)------------------------------
% 1.01/0.87  % (8186)------------------------------
% 1.01/0.88  % (8206)Instruction limit reached!
% 1.01/0.88  % (8206)------------------------------
% 1.01/0.88  % (8206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.88  % (8206)Termination reason: Unknown
% 1.01/0.88  % (8206)Termination phase: Saturation
% 1.01/0.88  
% 1.01/0.88  % (8206)Memory used [KB]: 1703
% 1.01/0.88  % (8206)Time elapsed: 0.045 s
% 1.01/0.88  % (8206)Instructions burned: 40 (million)
% 1.01/0.88  % (8206)------------------------------
% 1.01/0.88  % (8206)------------------------------
% 1.01/0.88  % (8209)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.01/0.88  % (8200)Instruction limit reached!
% 1.01/0.88  % (8200)------------------------------
% 1.01/0.88  % (8200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.88  % (8200)Termination reason: Unknown
% 1.01/0.88  % (8200)Termination phase: Saturation
% 1.01/0.88  
% 1.01/0.88  % (8200)Memory used [KB]: 2619
% 1.01/0.88  % (8200)Time elapsed: 0.079 s
% 1.01/0.88  % (8200)Instructions burned: 102 (million)
% 1.01/0.88  % (8200)------------------------------
% 1.01/0.88  % (8200)------------------------------
% 1.01/0.88  % (8210)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.01/0.89  % (8211)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.01/0.89  % (8203)Instruction limit reached!
% 1.01/0.89  % (8203)------------------------------
% 1.01/0.89  % (8203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.89  % (8203)Termination reason: Unknown
% 1.01/0.89  % (8203)Termination phase: Saturation
% 1.01/0.89  
% 1.01/0.89  % (8203)Memory used [KB]: 2430
% 1.01/0.89  % (8203)Time elapsed: 0.064 s
% 1.01/0.89  % (8203)Instructions burned: 109 (million)
% 1.01/0.89  % (8203)------------------------------
% 1.01/0.89  % (8203)------------------------------
% 1.01/0.89  % (8212)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.01/0.90  % (8210)Instruction limit reached!
% 1.01/0.90  % (8210)------------------------------
% 1.01/0.90  % (8210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.01/0.90  % (8210)Termination reason: Unknown
% 1.01/0.90  % (8210)Termination phase: Saturation
% 1.01/0.90  
% 1.01/0.90  % (8210)Memory used [KB]: 1620
% 1.01/0.90  % (8210)Time elapsed: 0.020 s
% 1.01/0.90  % (8210)Instructions burned: 38 (million)
% 1.01/0.90  % (8210)------------------------------
% 1.01/0.90  % (8210)------------------------------
% 1.28/0.91  % (8213)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.28/0.91  % (8212)Instruction limit reached!
% 1.28/0.91  % (8212)------------------------------
% 1.28/0.91  % (8212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.91  % (8212)Termination reason: Unknown
% 1.28/0.91  % (8212)Termination phase: Saturation
% 1.28/0.91  
% 1.28/0.91  % (8212)Memory used [KB]: 1636
% 1.28/0.91  % (8212)Time elapsed: 0.016 s
% 1.28/0.91  % (8212)Instructions burned: 48 (million)
% 1.28/0.91  % (8212)------------------------------
% 1.28/0.91  % (8212)------------------------------
% 1.28/0.91  % (8213)Refutation not found, incomplete strategy% (8213)------------------------------
% 1.28/0.91  % (8213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.91  % (8213)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.91  
% 1.28/0.91  % (8213)Memory used [KB]: 1022
% 1.28/0.91  % (8213)Time elapsed: 0.004 s
% 1.28/0.91  % (8213)Instructions burned: 5 (million)
% 1.28/0.91  % (8213)------------------------------
% 1.28/0.91  % (8213)------------------------------
% 1.28/0.91  % (8214)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.28/0.91  % (8214)Refutation not found, incomplete strategy% (8214)------------------------------
% 1.28/0.91  % (8214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.91  % (8214)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.91  
% 1.28/0.91  % (8214)Memory used [KB]: 980
% 1.28/0.91  % (8214)Time elapsed: 0.002 s
% 1.28/0.91  % (8214)Instructions burned: 6 (million)
% 1.28/0.91  % (8214)------------------------------
% 1.28/0.91  % (8214)------------------------------
% 1.28/0.91  % (8209)Instruction limit reached!
% 1.28/0.91  % (8209)------------------------------
% 1.28/0.91  % (8209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.91  % (8209)Termination reason: Unknown
% 1.28/0.91  % (8209)Termination phase: Saturation
% 1.28/0.91  
% 1.28/0.91  % (8209)Memory used [KB]: 1384
% 1.28/0.91  % (8209)Time elapsed: 0.037 s
% 1.28/0.91  % (8209)Instructions burned: 81 (million)
% 1.28/0.91  % (8209)------------------------------
% 1.28/0.91  % (8209)------------------------------
% 1.28/0.91  % (8215)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.28/0.92  % (8216)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2994ds/82Mi)
% 1.28/0.92  % (8211)Instruction limit reached!
% 1.28/0.92  % (8211)------------------------------
% 1.28/0.92  % (8211)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.92  % (8211)Termination reason: Unknown
% 1.28/0.92  % (8211)Termination phase: Saturation
% 1.28/0.92  
% 1.28/0.92  % (8211)Memory used [KB]: 1719
% 1.28/0.92  % (8211)Time elapsed: 0.033 s
% 1.28/0.92  % (8211)Instructions burned: 56 (million)
% 1.28/0.92  % (8211)------------------------------
% 1.28/0.92  % (8211)------------------------------
% 1.28/0.92  % (8215)Refutation not found, incomplete strategy% (8215)------------------------------
% 1.28/0.92  % (8215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.92  % (8215)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.92  
% 1.28/0.92  % (8215)Memory used [KB]: 1078
% 1.28/0.92  % (8215)Time elapsed: 0.003 s
% 1.28/0.92  % (8215)Instructions burned: 10 (million)
% 1.28/0.92  % (8215)------------------------------
% 1.28/0.92  % (8215)------------------------------
% 1.28/0.92  % (8207)First to succeed.
% 1.28/0.92  % (8217)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/119Mi)
% 1.28/0.92  % (8218)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2994ds/177Mi)
% 1.28/0.92  % (8207)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8170"
% 1.28/0.92  % (8219)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on theBenchmark for (2994ds/117Mi)
% 1.28/0.92  % (8207)Refutation found. Thanks to Tanya!
% 1.28/0.92  % SZS status Unsatisfiable for theBenchmark
% 1.28/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.93  % (8207)------------------------------
% 1.28/0.93  % (8207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.93  % (8207)Termination reason: Refutation
% 1.28/0.93  
% 1.28/0.93  % (8207)Memory used [KB]: 1633
% 1.28/0.93  % (8207)Time elapsed: 0.083 s
% 1.28/0.93  % (8207)Instructions burned: 95 (million)
% 1.28/0.93  % (8170)Success in time 0.576 s
% 1.28/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------