TSTP Solution File: GRP340-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP340-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:26 EDT 2022

% Result   : Unsatisfiable 2.15s 0.66s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   83
% Syntax   : Number of formulae    :  476 (  46 unt;   0 def)
%            Number of atoms       : 1598 ( 574 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 2158 (1036   ~;1092   |;   0   &)
%                                         (  30 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  31 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  27 con; 0-2 aty)
%            Number of variables   :  106 ( 106   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2230,plain,
    $false,
    inference(avatar_sat_refutation,[],[f149,f163,f172,f177,f186,f188,f189,f190,f195,f196,f201,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f229,f230,f231,f234,f235,f236,f237,f239,f240,f242,f245,f246,f247,f282,f296,f382,f407,f420,f440,f473,f477,f479,f526,f544,f559,f562,f574,f579,f607,f611,f717,f756,f977,f1070,f1080,f1095,f1415,f1421,f1575,f1602,f2049,f2053,f2070,f2178,f2188,f2194,f2197]) ).

fof(f2197,plain,
    ( ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15
    | spl15_24 ),
    inference(avatar_contradiction_clause,[],[f2196]) ).

fof(f2196,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15
    | spl15_24 ),
    inference(subsumption_resolution,[],[f2195,f2068]) ).

fof(f2068,plain,
    ( identity = sk_c11
    | ~ spl15_5
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f144,f1854]) ).

fof(f1854,plain,
    ( identity = sF5
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f1852,f2]) ).

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

fof(f1852,plain,
    ( sF5 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl15_15 ),
    inference(superposition,[],[f312,f588]) ).

fof(f588,plain,
    ( sk_c8 = multiply(sk_c8,sF5)
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f358,f200]) ).

fof(f200,plain,
    ( sk_c8 = sF6
    | ~ spl15_15 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl15_15
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f358,plain,
    sk_c8 = multiply(sF6,sF5),
    inference(forward_demodulation,[],[f342,f67]) ).

fof(f67,plain,
    inverse(sk_c5) = sF6,
    introduced(function_definition,[]) ).

fof(f342,plain,
    sk_c8 = multiply(inverse(sk_c5),sF5),
    inference(superposition,[],[f312,f65]) ).

fof(f65,plain,
    multiply(sk_c5,sk_c8) = sF5,
    introduced(function_definition,[]) ).

fof(f312,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f299,f1]) ).

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

fof(f299,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

fof(f144,plain,
    ( sk_c11 = sF5
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl15_5
  <=> sk_c11 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f2195,plain,
    ( identity != sk_c11
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15
    | spl15_24 ),
    inference(forward_demodulation,[],[f281,f2174]) ).

fof(f2174,plain,
    ( identity = inverse(identity)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f2155,f2168]) ).

fof(f2168,plain,
    ( identity = sk_c8
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2153,f2152]) ).

fof(f2152,plain,
    ( identity = sk_c5
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f2100,f2149]) ).

fof(f2149,plain,
    ( ! [X12] : multiply(sk_c5,X12) = X12
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f2055,f2135]) ).

fof(f2135,plain,
    ( ! [X13] : multiply(sk_c8,X13) = X13
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f2127,f2134]) ).

fof(f2134,plain,
    ( ! [X10] : multiply(sk_c10,X10) = X10
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2133,f1]) ).

fof(f2133,plain,
    ( ! [X10] : multiply(sk_c10,X10) = multiply(identity,X10)
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2132,f2124]) ).

fof(f2124,plain,
    ( identity = sk_c3
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2114,f2]) ).

fof(f2114,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f851,f2068]) ).

fof(f851,plain,
    ( sk_c3 = multiply(inverse(sk_c11),identity)
    | ~ spl15_8 ),
    inference(backward_demodulation,[],[f351,f158]) ).

fof(f158,plain,
    ( sk_c11 = sF14
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl15_8
  <=> sk_c11 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f351,plain,
    sk_c3 = multiply(inverse(sF14),identity),
    inference(superposition,[],[f312,f254]) ).

fof(f254,plain,
    identity = multiply(sF14,sk_c3),
    inference(superposition,[],[f2,f88]) ).

fof(f88,plain,
    inverse(sk_c3) = sF14,
    introduced(function_definition,[]) ).

fof(f2132,plain,
    ( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c3,X10)
    | ~ spl15_5
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2113,f1]) ).

fof(f2113,plain,
    ( ! [X10] : multiply(sk_c3,multiply(identity,X10)) = multiply(sk_c10,X10)
    | ~ spl15_5
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f847,f2068]) ).

fof(f847,plain,
    ( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c3,multiply(sk_c11,X10))
    | ~ spl15_13 ),
    inference(forward_demodulation,[],[f302,f183]) ).

fof(f183,plain,
    ( sk_c10 = sF7
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl15_13
  <=> sk_c10 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f302,plain,
    ! [X10] : multiply(sk_c3,multiply(sk_c11,X10)) = multiply(sF7,X10),
    inference(superposition,[],[f3,f69]) ).

fof(f69,plain,
    multiply(sk_c3,sk_c11) = sF7,
    introduced(function_definition,[]) ).

fof(f2127,plain,
    ( ! [X13] : multiply(sk_c8,multiply(sk_c10,X13)) = X13
    | ~ spl15_5
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2118,f1]) ).

fof(f2118,plain,
    ( ! [X13] : multiply(identity,X13) = multiply(sk_c8,multiply(sk_c10,X13))
    | ~ spl15_5
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f2059,f2068]) ).

fof(f2059,plain,
    ( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,multiply(sk_c10,X13))
    | ~ spl15_14 ),
    inference(backward_demodulation,[],[f305,f194]) ).

fof(f194,plain,
    ( sk_c11 = sF3
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl15_14
  <=> sk_c11 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f305,plain,
    ! [X13] : multiply(sk_c8,multiply(sk_c10,X13)) = multiply(sF3,X13),
    inference(superposition,[],[f3,f61]) ).

fof(f61,plain,
    multiply(sk_c8,sk_c10) = sF3,
    introduced(function_definition,[]) ).

fof(f2055,plain,
    ( ! [X12] : multiply(sk_c5,multiply(sk_c8,X12)) = X12
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2054,f1]) ).

fof(f2054,plain,
    ( ! [X12] : multiply(identity,X12) = multiply(sk_c5,multiply(sk_c8,X12))
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f304,f1854]) ).

fof(f304,plain,
    ! [X12] : multiply(sF5,X12) = multiply(sk_c5,multiply(sk_c8,X12)),
    inference(superposition,[],[f3,f65]) ).

fof(f2100,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f589,f2097]) ).

fof(f2097,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f665,f2093]) ).

fof(f2093,plain,
    ( sk_c8 = sk_c7
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f655,f2092]) ).

fof(f2092,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f588,f1854]) ).

fof(f655,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl15_7
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f619,f153]) ).

fof(f153,plain,
    ( sk_c8 = sF12
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl15_7
  <=> sk_c8 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f619,plain,
    ( sk_c7 = multiply(sF12,identity)
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f615,f80]) ).

fof(f80,plain,
    inverse(sk_c6) = sF12,
    introduced(function_definition,[]) ).

fof(f615,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f347,f176]) ).

fof(f176,plain,
    ( sk_c6 = sF0
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl15_12
  <=> sk_c6 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f347,plain,
    sk_c7 = multiply(inverse(sF0),identity),
    inference(superposition,[],[f312,f257]) ).

fof(f257,plain,
    identity = multiply(sF0,sk_c7),
    inference(superposition,[],[f2,f57]) ).

fof(f57,plain,
    inverse(sk_c7) = sF0,
    introduced(function_definition,[]) ).

fof(f665,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f618,f660]) ).

fof(f660,plain,
    ( sk_c5 = sk_c6
    | ~ spl15_7
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f656,f589]) ).

fof(f656,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl15_7 ),
    inference(backward_demodulation,[],[f350,f153]) ).

fof(f350,plain,
    sk_c6 = multiply(inverse(sF12),identity),
    inference(superposition,[],[f312,f258]) ).

fof(f258,plain,
    identity = multiply(sF12,sk_c6),
    inference(superposition,[],[f2,f80]) ).

fof(f618,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f57,f176]) ).

fof(f589,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f348,f200]) ).

fof(f348,plain,
    sk_c5 = multiply(inverse(sF6),identity),
    inference(superposition,[],[f312,f256]) ).

fof(f256,plain,
    identity = multiply(sF6,sk_c5),
    inference(superposition,[],[f2,f67]) ).

fof(f2153,plain,
    ( sk_c5 = sk_c8
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f707,f2149]) ).

fof(f707,plain,
    ( sk_c8 = multiply(sk_c5,sk_c5)
    | ~ spl15_3
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f662,f704]) ).

fof(f704,plain,
    ( sk_c5 = sF13
    | ~ spl15_3
    | ~ spl15_7
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f135,f660]) ).

fof(f135,plain,
    ( sk_c6 = sF13
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl15_3
  <=> sk_c6 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f662,plain,
    ( sk_c8 = multiply(sk_c5,sF13)
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f614,f660]) ).

fof(f614,plain,
    ( sk_c8 = multiply(sk_c6,sF13)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f359,f176]) ).

fof(f359,plain,
    sk_c8 = multiply(sF0,sF13),
    inference(forward_demodulation,[],[f344,f57]) ).

fof(f344,plain,
    sk_c8 = multiply(inverse(sk_c7),sF13),
    inference(superposition,[],[f312,f82]) ).

fof(f82,plain,
    multiply(sk_c7,sk_c8) = sF13,
    introduced(function_definition,[]) ).

fof(f2155,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f592,f2152]) ).

fof(f592,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f67,f200]) ).

fof(f281,plain,
    ( sk_c11 != inverse(identity)
    | spl15_24 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl15_24
  <=> sk_c11 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f2194,plain,
    ( ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_15
    | spl15_22 ),
    inference(avatar_contradiction_clause,[],[f2193]) ).

fof(f2193,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_15
    | spl15_22 ),
    inference(subsumption_resolution,[],[f2192,f272]) ).

fof(f272,plain,
    ( identity != sk_c10
    | spl15_22 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl15_22
  <=> identity = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f2192,plain,
    ( identity = sk_c10
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2191,f1]) ).

fof(f2191,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl15_5
    | ~ spl15_8
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f2190,f2124]) ).

fof(f2190,plain,
    ( sk_c10 = multiply(sk_c3,identity)
    | ~ spl15_5
    | ~ spl15_13
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f861,f2068]) ).

fof(f861,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl15_13 ),
    inference(forward_demodulation,[],[f69,f183]) ).

fof(f2188,plain,
    ( ~ spl15_5
    | ~ spl15_14
    | ~ spl15_15
    | spl15_30 ),
    inference(avatar_contradiction_clause,[],[f2187]) ).

fof(f2187,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_14
    | ~ spl15_15
    | spl15_30 ),
    inference(subsumption_resolution,[],[f2107,f539]) ).

fof(f539,plain,
    ( identity != sF3
    | spl15_30 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl15_30
  <=> identity = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f2107,plain,
    ( identity = sF3
    | ~ spl15_5
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f194,f2068]) ).

fof(f2178,plain,
    ( ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15
    | spl15_31 ),
    inference(avatar_contradiction_clause,[],[f2177]) ).

fof(f2177,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15
    | spl15_31 ),
    inference(subsumption_resolution,[],[f2171,f2174]) ).

fof(f2171,plain,
    ( identity != inverse(identity)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_8
    | ~ spl15_12
    | ~ spl15_13
    | ~ spl15_14
    | ~ spl15_15
    | spl15_31 ),
    inference(backward_demodulation,[],[f543,f2168]) ).

fof(f543,plain,
    ( identity != inverse(sk_c8)
    | spl15_31 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl15_31
  <=> identity = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f2070,plain,
    ( ~ spl15_5
    | ~ spl15_15
    | spl15_24
    | ~ spl15_35 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_15
    | spl15_24
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f2068,f2067]) ).

fof(f2067,plain,
    ( identity != sk_c11
    | spl15_24
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f281,f1618]) ).

fof(f1618,plain,
    ( identity = inverse(identity)
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f1608,f1613]) ).

fof(f1613,plain,
    ( identity = sk_c2
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f1611,f2]) ).

fof(f1611,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl15_35 ),
    inference(backward_demodulation,[],[f1051,f1073]) ).

fof(f1073,plain,
    ( identity = sF2
    | ~ spl15_35 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f1072,plain,
    ( spl15_35
  <=> identity = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f1051,plain,
    sk_c2 = multiply(inverse(sF2),identity),
    inference(superposition,[],[f312,f1011]) ).

fof(f1011,plain,
    identity = multiply(sF2,sk_c2),
    inference(superposition,[],[f2,f60]) ).

fof(f60,plain,
    inverse(sk_c2) = sF2,
    introduced(function_definition,[]) ).

fof(f1608,plain,
    ( identity = inverse(sk_c2)
    | ~ spl15_35 ),
    inference(backward_demodulation,[],[f60,f1073]) ).

fof(f2053,plain,
    ( spl15_22
    | ~ spl15_2
    | ~ spl15_35 ),
    inference(avatar_split_clause,[],[f1711,f1072,f128,f270]) ).

fof(f128,plain,
    ( spl15_2
  <=> sk_c10 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f1711,plain,
    ( identity = sk_c10
    | ~ spl15_2
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f130,f1073]) ).

fof(f130,plain,
    ( sk_c10 = sF2
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f2049,plain,
    ( ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f2047,f1618]) ).

fof(f2047,plain,
    ( identity != inverse(identity)
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f2046,f1618]) ).

fof(f2046,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f2040,f1618]) ).

fof(f2040,plain,
    ( identity != inverse(inverse(identity))
    | identity != inverse(identity)
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(superposition,[],[f2011,f2]) ).

fof(f2011,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | identity != inverse(multiply(X0,identity)) )
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(subsumption_resolution,[],[f2008,f1]) ).

fof(f2008,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | identity != inverse(multiply(X0,identity))
        | identity != multiply(identity,identity) )
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(duplicate_literal_removal,[],[f2001]) ).

fof(f2001,plain,
    ( ! [X0] :
        ( identity != multiply(identity,identity)
        | identity != multiply(identity,identity)
        | identity != inverse(multiply(X0,identity))
        | inverse(X0) != multiply(X0,identity) )
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(superposition,[],[f1927,f1618]) ).

fof(f1927,plain,
    ( ! [X9,X7] :
        ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | identity != multiply(X7,inverse(X7))
        | identity != multiply(inverse(X7),identity)
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f1926,f1920]) ).

fof(f1920,plain,
    ( identity = sk_c11
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f1599,f1618]) ).

fof(f1599,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl15_22
    | ~ spl15_27 ),
    inference(forward_demodulation,[],[f294,f271]) ).

fof(f271,plain,
    ( identity = sk_c10
    | ~ spl15_22 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f294,plain,
    ( sk_c11 = inverse(sk_c10)
    | ~ spl15_27 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl15_27
  <=> sk_c11 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f1926,plain,
    ( ! [X9,X7] :
        ( sk_c11 != multiply(X7,inverse(X7))
        | inverse(X9) != multiply(X9,inverse(X7))
        | inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | identity != multiply(inverse(X7),identity) )
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_27
    | ~ spl15_35 ),
    inference(forward_demodulation,[],[f1664,f1920]) ).

fof(f1664,plain,
    ( ! [X9,X7] :
        ( inverse(X9) != multiply(X9,inverse(X7))
        | inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | sk_c11 != multiply(inverse(X7),identity)
        | sk_c11 != multiply(X7,inverse(X7)) )
    | ~ spl15_20
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f228,f271]) ).

fof(f228,plain,
    ( ! [X9,X7] :
        ( sk_c11 != multiply(X7,inverse(X7))
        | inverse(X9) != multiply(X9,inverse(X7))
        | sk_c11 != multiply(inverse(X7),sk_c10)
        | inverse(X7) != inverse(multiply(X9,inverse(X7))) )
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl15_20
  <=> ! [X9,X7] :
        ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | sk_c11 != multiply(inverse(X7),sk_c10)
        | inverse(X9) != multiply(X9,inverse(X7))
        | sk_c11 != multiply(X7,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f1602,plain,
    ( spl15_11
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_26
    | ~ spl15_28
    | ~ spl15_29 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | spl15_11
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_26
    | ~ spl15_28
    | ~ spl15_29 ),
    inference(subsumption_resolution,[],[f1432,f1583]) ).

fof(f1583,plain,
    ( identity = sk_c11
    | ~ spl15_24
    | ~ spl15_28
    | ~ spl15_29 ),
    inference(forward_demodulation,[],[f280,f1511]) ).

fof(f1511,plain,
    ( identity = inverse(identity)
    | ~ spl15_28
    | ~ spl15_29 ),
    inference(backward_demodulation,[],[f533,f529]) ).

fof(f529,plain,
    ( identity = sk_c4
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f528,plain,
    ( spl15_28
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f533,plain,
    ( identity = inverse(sk_c4)
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f532,plain,
    ( spl15_29
  <=> identity = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f280,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f1432,plain,
    ( identity != sk_c11
    | spl15_11
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f1431,f989]) ).

fof(f989,plain,
    ( identity = sk_c9
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f290,f271]) ).

fof(f290,plain,
    ( sk_c10 = sk_c9
    | ~ spl15_26 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl15_26
  <=> sk_c10 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f1431,plain,
    ( sk_c11 != sk_c9
    | spl15_11
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f170,f1418]) ).

fof(f1418,plain,
    ( sk_c11 = sF9
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1417,f1]) ).

fof(f1417,plain,
    ( sF9 = multiply(identity,sk_c11)
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f73,f271]) ).

fof(f73,plain,
    multiply(sk_c10,sk_c11) = sF9,
    introduced(function_definition,[]) ).

fof(f170,plain,
    ( sk_c9 != sF9
    | spl15_11 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl15_11
  <=> sk_c9 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f1575,plain,
    ( ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22
    | spl15_23 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22
    | spl15_23 ),
    inference(subsumption_resolution,[],[f1573,f1262]) ).

fof(f1262,plain,
    ( identity != sk_c11
    | ~ spl15_22
    | spl15_23 ),
    inference(forward_demodulation,[],[f277,f271]) ).

fof(f277,plain,
    ( sk_c10 != sk_c11
    | spl15_23 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl15_23
  <=> sk_c10 = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f1573,plain,
    ( identity = sk_c11
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1572,f1]) ).

fof(f1572,plain,
    ( sk_c11 = multiply(identity,identity)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1552,f1556]) ).

fof(f1556,plain,
    ( identity = sk_c5
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1555,f1533]) ).

fof(f1533,plain,
    ( ! [X14] : multiply(sk_c5,X14) = X14
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1520,f1517]) ).

fof(f1517,plain,
    ( ! [X12] : multiply(sk_c11,X12) = X12
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f1508,f1346]) ).

fof(f1346,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f663,f1345]) ).

fof(f1345,plain,
    ( sk_c11 = sk_c7
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f655,f1285]) ).

fof(f1285,plain,
    ( sk_c11 = multiply(sk_c8,identity)
    | ~ spl15_14
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f862,f271]) ).

fof(f862,plain,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | ~ spl15_14 ),
    inference(backward_demodulation,[],[f61,f194]) ).

fof(f663,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f616,f660]) ).

fof(f616,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f323,f176]) ).

fof(f323,plain,
    ! [X0] : multiply(sF0,multiply(sk_c7,X0)) = X0,
    inference(forward_demodulation,[],[f322,f1]) ).

fof(f322,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF0,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f257]) ).

fof(f1508,plain,
    ( ! [X12] : multiply(sk_c5,multiply(sk_c11,X12)) = multiply(sk_c11,X12)
    | ~ spl15_5
    | ~ spl15_14
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f876,f1506]) ).

fof(f1506,plain,
    ( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c11,X13)
    | ~ spl15_14
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1172,f1]) ).

fof(f1172,plain,
    ( ! [X13] : multiply(sk_c8,multiply(identity,X13)) = multiply(sk_c11,X13)
    | ~ spl15_14
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f863,f271]) ).

fof(f863,plain,
    ( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,multiply(sk_c10,X13))
    | ~ spl15_14 ),
    inference(backward_demodulation,[],[f305,f194]) ).

fof(f876,plain,
    ( ! [X12] : multiply(sk_c5,multiply(sk_c8,X12)) = multiply(sk_c11,X12)
    | ~ spl15_5 ),
    inference(backward_demodulation,[],[f304,f144]) ).

fof(f1520,plain,
    ( ! [X14] : multiply(sk_c11,X14) = multiply(sk_c5,X14)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f1507,f1517]) ).

fof(f1507,plain,
    ( ! [X14] : multiply(sk_c11,multiply(sk_c11,X14)) = multiply(sk_c5,X14)
    | ~ spl15_3
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f1504,f1506]) ).

fof(f1504,plain,
    ( ! [X14] : multiply(sk_c11,multiply(sk_c8,X14)) = multiply(sk_c5,X14)
    | ~ spl15_3
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f718,f1345]) ).

fof(f718,plain,
    ( ! [X14] : multiply(sk_c5,X14) = multiply(sk_c7,multiply(sk_c8,X14))
    | ~ spl15_3
    | ~ spl15_7
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f306,f704]) ).

fof(f306,plain,
    ! [X14] : multiply(sF13,X14) = multiply(sk_c7,multiply(sk_c8,X14)),
    inference(superposition,[],[f3,f82]) ).

fof(f1555,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f1549,f1551]) ).

fof(f1551,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f592,f1545]) ).

fof(f1545,plain,
    ( sk_c5 = sk_c8
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f707,f1533]) ).

fof(f1549,plain,
    ( sk_c5 = multiply(inverse(sk_c5),identity)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f589,f1545]) ).

fof(f1552,plain,
    ( sk_c11 = multiply(sk_c5,sk_c5)
    | ~ spl15_3
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f878,f1545]) ).

fof(f878,plain,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f65,f144]) ).

fof(f1421,plain,
    ( spl15_29
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1420,f270,f165,f532]) ).

fof(f165,plain,
    ( spl15_10
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f1420,plain,
    ( identity = inverse(sk_c4)
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f751,f271]) ).

fof(f751,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f74,f167]) ).

fof(f167,plain,
    ( sk_c10 = sF10
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f74,plain,
    inverse(sk_c4) = sF10,
    introduced(function_definition,[]) ).

fof(f1415,plain,
    ( spl15_28
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1189,f270,f165,f528]) ).

fof(f1189,plain,
    ( identity = sk_c4
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f1188,f2]) ).

fof(f1188,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f819,f271]) ).

fof(f819,plain,
    ( sk_c4 = multiply(inverse(sk_c10),identity)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f349,f167]) ).

fof(f349,plain,
    sk_c4 = multiply(inverse(sF10),identity),
    inference(superposition,[],[f312,f255]) ).

fof(f255,plain,
    identity = multiply(sF10,sk_c4),
    inference(superposition,[],[f2,f74]) ).

fof(f1095,plain,
    ( ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(avatar_contradiction_clause,[],[f1094]) ).

fof(f1094,plain,
    ( $false
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(subsumption_resolution,[],[f1093,f905]) ).

fof(f905,plain,
    ( identity = inverse(identity)
    | ~ spl15_14
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(backward_demodulation,[],[f280,f899]) ).

fof(f899,plain,
    ( identity = sk_c11
    | ~ spl15_14
    | ~ spl15_30 ),
    inference(backward_demodulation,[],[f194,f538]) ).

fof(f538,plain,
    ( identity = sF3
    | ~ spl15_30 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1093,plain,
    ( identity != inverse(identity)
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f1092,f905]) ).

fof(f1092,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(subsumption_resolution,[],[f1091,f1]) ).

fof(f1091,plain,
    ( identity != inverse(inverse(identity))
    | identity != multiply(identity,identity)
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(trivial_inequality_removal,[],[f1090]) ).

fof(f1090,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(duplicate_literal_removal,[],[f1088]) ).

fof(f1088,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | identity != multiply(identity,identity)
    | identity != identity
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(superposition,[],[f1038,f905]) ).

fof(f1038,plain,
    ( ! [X4] :
        ( identity != inverse(inverse(inverse(X4)))
        | identity != multiply(inverse(X4),identity)
        | identity != inverse(X4)
        | identity != multiply(X4,inverse(X4)) )
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f1023,f905]) ).

fof(f1023,plain,
    ( ! [X4] :
        ( identity != multiply(X4,inverse(X4))
        | inverse(X4) != inverse(identity)
        | identity != multiply(inverse(X4),identity)
        | identity != inverse(inverse(inverse(X4))) )
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_30 ),
    inference(superposition,[],[f1007,f2]) ).

fof(f1007,plain,
    ( ! [X9,X7] :
        ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | identity != multiply(X7,inverse(X7))
        | inverse(X9) != multiply(X9,inverse(X7))
        | identity != multiply(inverse(X7),identity) )
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f1006,f899]) ).

fof(f1006,plain,
    ( ! [X9,X7] :
        ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | sk_c11 != multiply(inverse(X7),identity)
        | identity != multiply(X7,inverse(X7))
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_22
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f1005,f271]) ).

fof(f1005,plain,
    ( ! [X9,X7] :
        ( sk_c11 != multiply(inverse(X7),sk_c10)
        | identity != multiply(X7,inverse(X7))
        | inverse(X9) != multiply(X9,inverse(X7))
        | inverse(X7) != inverse(multiply(X9,inverse(X7))) )
    | ~ spl15_14
    | ~ spl15_20
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f228,f899]) ).

fof(f1080,plain,
    ( spl15_35
    | ~ spl15_2
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f1079,f270,f128,f1072]) ).

fof(f1079,plain,
    ( identity = sF2
    | ~ spl15_2
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f130,f271]) ).

fof(f1070,plain,
    ( spl15_2
    | ~ spl15_9
    | ~ spl15_14
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_26
    | ~ spl15_30 ),
    inference(avatar_contradiction_clause,[],[f1069]) ).

fof(f1069,plain,
    ( $false
    | spl15_2
    | ~ spl15_9
    | ~ spl15_14
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_26
    | ~ spl15_30 ),
    inference(subsumption_resolution,[],[f1068,f985]) ).

fof(f985,plain,
    ( identity != sF2
    | spl15_2
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f129,f271]) ).

fof(f129,plain,
    ( sk_c10 != sF2
    | spl15_2 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f1068,plain,
    ( identity = sF2
    | ~ spl15_9
    | ~ spl15_14
    | ~ spl15_22
    | ~ spl15_24
    | ~ spl15_26
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f1067,f905]) ).

fof(f1067,plain,
    ( inverse(identity) = sF2
    | ~ spl15_9
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f60,f1064]) ).

fof(f1064,plain,
    ( identity = sk_c2
    | ~ spl15_9
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f1051,f1062]) ).

fof(f1062,plain,
    ( identity = multiply(inverse(sF2),identity)
    | ~ spl15_9
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(superposition,[],[f312,f993]) ).

fof(f993,plain,
    ( identity = multiply(sF2,identity)
    | ~ spl15_9
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f894,f271]) ).

fof(f894,plain,
    ( sk_c10 = multiply(sF2,sk_c10)
    | ~ spl15_9
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f857,f290]) ).

fof(f857,plain,
    ( sk_c9 = multiply(sF2,sk_c10)
    | ~ spl15_9 ),
    inference(backward_demodulation,[],[f346,f60]) ).

fof(f346,plain,
    ( sk_c9 = multiply(inverse(sk_c2),sk_c10)
    | ~ spl15_9 ),
    inference(superposition,[],[f312,f252]) ).

fof(f252,plain,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | ~ spl15_9 ),
    inference(backward_demodulation,[],[f63,f162]) ).

fof(f162,plain,
    ( sk_c10 = sF4
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl15_9
  <=> sk_c10 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f63,plain,
    multiply(sk_c2,sk_c9) = sF4,
    introduced(function_definition,[]) ).

fof(f977,plain,
    ( spl15_22
    | ~ spl15_14
    | ~ spl15_23
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f976,f537,f275,f192,f270]) ).

fof(f976,plain,
    ( identity = sk_c10
    | ~ spl15_14
    | ~ spl15_23
    | ~ spl15_30 ),
    inference(forward_demodulation,[],[f276,f899]) ).

fof(f276,plain,
    ( sk_c10 = sk_c11
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f756,plain,
    ( spl15_22
    | ~ spl15_5
    | ~ spl15_15
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f755,f275,f198,f142,f270]) ).

fof(f755,plain,
    ( identity = sk_c10
    | ~ spl15_5
    | ~ spl15_15
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f754,f2]) ).

fof(f754,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl15_5
    | ~ spl15_15
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f343,f753]) ).

fof(f753,plain,
    ( sk_c8 = sF3
    | ~ spl15_5
    | ~ spl15_15
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f61,f752]) ).

fof(f752,plain,
    ( sk_c8 = multiply(sk_c8,sk_c10)
    | ~ spl15_5
    | ~ spl15_15
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f588,f723]) ).

fof(f723,plain,
    ( sk_c10 = sF5
    | ~ spl15_5
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f144,f276]) ).

fof(f343,plain,
    sk_c10 = multiply(inverse(sk_c8),sF3),
    inference(superposition,[],[f312,f61]) ).

fof(f717,plain,
    ( ~ spl15_1
    | ~ spl15_10
    | ~ spl15_22
    | spl15_26 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_10
    | ~ spl15_22
    | spl15_26 ),
    inference(subsumption_resolution,[],[f715,f587]) ).

fof(f587,plain,
    ( identity != sk_c9
    | ~ spl15_22
    | spl15_26 ),
    inference(forward_demodulation,[],[f291,f271]) ).

fof(f291,plain,
    ( sk_c10 != sk_c9
    | spl15_26 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f715,plain,
    ( identity = sk_c9
    | ~ spl15_1
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f714,f2]) ).

fof(f714,plain,
    ( sk_c9 = multiply(inverse(identity),identity)
    | ~ spl15_1
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f598,f710]) ).

fof(f710,plain,
    ( identity = sF10
    | ~ spl15_10
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f167,f271]) ).

fof(f598,plain,
    ( sk_c9 = multiply(inverse(sF10),identity)
    | ~ spl15_1
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f349,f596]) ).

fof(f596,plain,
    ( sk_c9 = sk_c4
    | ~ spl15_1
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f509,f126]) ).

fof(f126,plain,
    ( sk_c9 = sF8
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl15_1
  <=> sk_c9 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f509,plain,
    ( sk_c4 = sF8
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f505,f349]) ).

fof(f505,plain,
    ( multiply(inverse(sF10),identity) = sF8
    | ~ spl15_22 ),
    inference(superposition,[],[f312,f449]) ).

fof(f449,plain,
    ( identity = multiply(sF10,sF8)
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f353,f271]) ).

fof(f353,plain,
    sk_c10 = multiply(sF10,sF8),
    inference(forward_demodulation,[],[f341,f74]) ).

fof(f341,plain,
    sk_c10 = multiply(inverse(sk_c4),sF8),
    inference(superposition,[],[f312,f71]) ).

fof(f71,plain,
    multiply(sk_c4,sk_c10) = sF8,
    introduced(function_definition,[]) ).

fof(f611,plain,
    ( ~ spl15_11
    | ~ spl15_22
    | ~ spl15_23
    | spl15_26 ),
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f610,plain,
    ( $false
    | ~ spl15_11
    | ~ spl15_22
    | ~ spl15_23
    | spl15_26 ),
    inference(subsumption_resolution,[],[f609,f587]) ).

fof(f609,plain,
    ( identity = sk_c9
    | ~ spl15_11
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f608,f1]) ).

fof(f608,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl15_11
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f387,f271]) ).

fof(f387,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl15_11
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f249,f276]) ).

fof(f249,plain,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | ~ spl15_11 ),
    inference(backward_demodulation,[],[f73,f171]) ).

fof(f171,plain,
    ( sk_c9 = sF9
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f607,plain,
    ( ~ spl15_2
    | ~ spl15_9
    | ~ spl15_22
    | spl15_26 ),
    inference(avatar_contradiction_clause,[],[f606]) ).

fof(f606,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_22
    | spl15_26 ),
    inference(subsumption_resolution,[],[f605,f587]) ).

fof(f605,plain,
    ( identity = sk_c9
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f604,f1]) ).

fof(f604,plain,
    ( sk_c9 = multiply(identity,identity)
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f355,f271]) ).

fof(f355,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl15_2
    | ~ spl15_9 ),
    inference(forward_demodulation,[],[f346,f251]) ).

fof(f251,plain,
    ( sk_c10 = inverse(sk_c2)
    | ~ spl15_2 ),
    inference(backward_demodulation,[],[f60,f130]) ).

fof(f579,plain,
    ( ~ spl15_19
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f578]) ).

fof(f578,plain,
    ( $false
    | ~ spl15_19
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f572,f475]) ).

fof(f475,plain,
    ( identity = inverse(identity)
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(forward_demodulation,[],[f280,f446]) ).

fof(f446,plain,
    ( identity = sk_c11
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f276,f271]) ).

fof(f572,plain,
    ( identity != inverse(identity)
    | ~ spl15_19
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(trivial_inequality_removal,[],[f566]) ).

fof(f566,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl15_19
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(superposition,[],[f565,f1]) ).

fof(f565,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl15_19
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f564,f447]) ).

fof(f447,plain,
    ( identity = sk_c9
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f290,f271]) ).

fof(f564,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c9 != multiply(X6,identity) )
    | ~ spl15_19
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f563,f271]) ).

fof(f563,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,identity) )
    | ~ spl15_19
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f225,f271]) ).

fof(f225,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) )
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl15_19
  <=> ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f574,plain,
    ( ~ spl15_31
    | ~ spl15_30
    | ~ spl15_19
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f571,f289,f270,f224,f537,f541]) ).

fof(f571,plain,
    ( identity != sF3
    | identity != inverse(sk_c8)
    | ~ spl15_19
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(superposition,[],[f565,f441]) ).

fof(f441,plain,
    ( sF3 = multiply(sk_c8,identity)
    | ~ spl15_22 ),
    inference(backward_demodulation,[],[f61,f271]) ).

fof(f562,plain,
    ( ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f561,plain,
    ( $false
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(subsumption_resolution,[],[f560,f475]) ).

fof(f560,plain,
    ( identity != inverse(identity)
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24 ),
    inference(forward_demodulation,[],[f554,f475]) ).

fof(f554,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(trivial_inequality_removal,[],[f550]) ).

fof(f550,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(superposition,[],[f547,f2]) ).

fof(f547,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f546,f446]) ).

fof(f546,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != multiply(X3,identity) )
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f545,f446]) ).

fof(f545,plain,
    ( ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,identity) )
    | ~ spl15_18
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f222,f271]) ).

fof(f222,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c10)
        | sk_c11 != inverse(X3) )
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl15_18
  <=> ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f559,plain,
    ( ~ spl15_30
    | ~ spl15_31
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f553,f275,f270,f221,f541,f537]) ).

fof(f553,plain,
    ( identity != inverse(sk_c8)
    | identity != sF3
    | ~ spl15_18
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(superposition,[],[f547,f441]) ).

fof(f544,plain,
    ( ~ spl15_30
    | ~ spl15_31
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f519,f289,f270,f218,f541,f537]) ).

fof(f218,plain,
    ( spl15_17
  <=> ! [X4] :
        ( sk_c10 != inverse(X4)
        | sk_c10 != multiply(X4,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f519,plain,
    ( identity != inverse(sk_c8)
    | identity != sF3
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(superposition,[],[f482,f441]) ).

fof(f482,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f481,f271]) ).

fof(f481,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | sk_c10 != inverse(X4) )
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f480,f271]) ).

fof(f480,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(X4,identity)
        | sk_c10 != inverse(X4) )
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f219,f447]) ).

fof(f219,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(X4,sk_c9)
        | sk_c10 != inverse(X4) )
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f526,plain,
    ( ~ spl15_17
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24
    | ~ spl15_26 ),
    inference(avatar_contradiction_clause,[],[f525]) ).

fof(f525,plain,
    ( $false
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24
    | ~ spl15_26 ),
    inference(subsumption_resolution,[],[f520,f475]) ).

fof(f520,plain,
    ( identity != inverse(identity)
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(trivial_inequality_removal,[],[f514]) ).

fof(f514,plain,
    ( identity != inverse(identity)
    | identity != identity
    | ~ spl15_17
    | ~ spl15_22
    | ~ spl15_26 ),
    inference(superposition,[],[f482,f1]) ).

fof(f479,plain,
    ( ~ spl15_2
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23
    | spl15_27 ),
    inference(avatar_contradiction_clause,[],[f478]) ).

fof(f478,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23
    | spl15_27 ),
    inference(subsumption_resolution,[],[f471,f456]) ).

fof(f456,plain,
    ( identity != inverse(identity)
    | ~ spl15_22
    | ~ spl15_23
    | spl15_27 ),
    inference(backward_demodulation,[],[f393,f271]) ).

fof(f393,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl15_23
    | spl15_27 ),
    inference(backward_demodulation,[],[f295,f276]) ).

fof(f295,plain,
    ( sk_c11 != inverse(sk_c10)
    | spl15_27 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f471,plain,
    ( identity = inverse(identity)
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f460,f466]) ).

fof(f466,plain,
    ( identity = sk_c1
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f457,f2]) ).

fof(f457,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f399,f271]) ).

fof(f399,plain,
    ( sk_c1 = multiply(inverse(sk_c10),identity)
    | ~ spl15_6
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f339,f276]) ).

fof(f339,plain,
    ( sk_c1 = multiply(inverse(sk_c11),identity)
    | ~ spl15_6 ),
    inference(superposition,[],[f312,f259]) ).

fof(f259,plain,
    ( identity = multiply(sk_c11,sk_c1)
    | ~ spl15_6 ),
    inference(superposition,[],[f2,f253]) ).

fof(f253,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl15_6 ),
    inference(backward_demodulation,[],[f77,f148]) ).

fof(f148,plain,
    ( sk_c11 = sF11
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl15_6
  <=> sk_c11 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f77,plain,
    inverse(sk_c1) = sF11,
    introduced(function_definition,[]) ).

fof(f460,plain,
    ( identity = inverse(sk_c1)
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f409,f271]) ).

fof(f409,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f251,f408]) ).

fof(f408,plain,
    ( sk_c1 = sk_c2
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f338,f399]) ).

fof(f338,plain,
    ( sk_c2 = multiply(inverse(sk_c10),identity)
    | ~ spl15_2 ),
    inference(superposition,[],[f312,f260]) ).

fof(f260,plain,
    ( identity = multiply(sk_c10,sk_c2)
    | ~ spl15_2 ),
    inference(superposition,[],[f2,f251]) ).

fof(f477,plain,
    ( ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24
    | spl15_27 ),
    inference(avatar_contradiction_clause,[],[f476]) ).

fof(f476,plain,
    ( $false
    | ~ spl15_22
    | ~ spl15_23
    | ~ spl15_24
    | spl15_27 ),
    inference(subsumption_resolution,[],[f475,f456]) ).

fof(f473,plain,
    ( ~ spl15_2
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23
    | spl15_24 ),
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_6
    | ~ spl15_22
    | ~ spl15_23
    | spl15_24 ),
    inference(subsumption_resolution,[],[f471,f455]) ).

fof(f455,plain,
    ( identity != inverse(identity)
    | ~ spl15_22
    | ~ spl15_23
    | spl15_24 ),
    inference(backward_demodulation,[],[f392,f271]) ).

fof(f392,plain,
    ( sk_c10 != inverse(identity)
    | ~ spl15_23
    | spl15_24 ),
    inference(backward_demodulation,[],[f281,f276]) ).

fof(f440,plain,
    ( spl15_22
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_26 ),
    inference(avatar_split_clause,[],[f439,f289,f160,f128,f270]) ).

fof(f439,plain,
    ( identity = sk_c10
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_26 ),
    inference(forward_demodulation,[],[f436,f2]) ).

fof(f436,plain,
    ( sk_c10 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_26 ),
    inference(backward_demodulation,[],[f376,f290]) ).

fof(f376,plain,
    ( sk_c10 = multiply(inverse(sk_c10),sk_c9)
    | ~ spl15_2
    | ~ spl15_9 ),
    inference(superposition,[],[f312,f355]) ).

fof(f420,plain,
    ( spl15_26
    | ~ spl15_4
    | ~ spl15_6
    | ~ spl15_11
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f419,f275,f169,f146,f137,f289]) ).

fof(f137,plain,
    ( spl15_4
  <=> sk_c11 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f419,plain,
    ( sk_c10 = sk_c9
    | ~ spl15_4
    | ~ spl15_6
    | ~ spl15_11
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f387,f401]) ).

fof(f401,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl15_4
    | ~ spl15_6
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f357,f276]) ).

fof(f357,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl15_4
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f345,f253]) ).

fof(f345,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c11)
    | ~ spl15_4 ),
    inference(superposition,[],[f312,f250]) ).

fof(f250,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f58,f139]) ).

fof(f139,plain,
    ( sk_c11 = sF1
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f58,plain,
    multiply(sk_c1,sk_c10) = sF1,
    introduced(function_definition,[]) ).

fof(f407,plain,
    ( spl15_26
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_6
    | ~ spl15_9
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f406,f275,f160,f146,f137,f128,f289]) ).

fof(f406,plain,
    ( sk_c10 = sk_c9
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_6
    | ~ spl15_9
    | ~ spl15_23 ),
    inference(backward_demodulation,[],[f355,f401]) ).

fof(f382,plain,
    ( spl15_23
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_11 ),
    inference(avatar_split_clause,[],[f379,f169,f160,f128,f275]) ).

fof(f379,plain,
    ( sk_c10 = sk_c11
    | ~ spl15_2
    | ~ spl15_9
    | ~ spl15_11 ),
    inference(backward_demodulation,[],[f337,f376]) ).

fof(f337,plain,
    ( sk_c11 = multiply(inverse(sk_c10),sk_c9)
    | ~ spl15_11 ),
    inference(superposition,[],[f312,f249]) ).

fof(f296,plain,
    ( ~ spl15_26
    | ~ spl15_27
    | ~ spl15_11
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f263,f215,f169,f293,f289]) ).

fof(f215,plain,
    ( spl15_16
  <=> ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c10 != multiply(X5,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f263,plain,
    ( sk_c11 != inverse(sk_c10)
    | sk_c10 != sk_c9
    | ~ spl15_11
    | ~ spl15_16 ),
    inference(superposition,[],[f216,f249]) ).

fof(f216,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c11)
        | sk_c11 != inverse(X5) )
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f282,plain,
    ( ~ spl15_23
    | ~ spl15_24
    | ~ spl15_16 ),
    inference(avatar_split_clause,[],[f261,f215,f279,f275]) ).

fof(f261,plain,
    ( sk_c11 != inverse(identity)
    | sk_c10 != sk_c11
    | ~ spl15_16 ),
    inference(superposition,[],[f216,f1]) ).

fof(f247,plain,
    ( spl15_9
    | spl15_10 ),
    inference(avatar_split_clause,[],[f106,f165,f160]) ).

fof(f106,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f47,f74,f63]) ).

fof(f47,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f246,plain,
    ( spl15_9
    | spl15_5 ),
    inference(avatar_split_clause,[],[f107,f142,f160]) ).

fof(f107,plain,
    ( sk_c11 = sF5
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f48,f63,f65]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f245,plain,
    ( spl15_2
    | spl15_5 ),
    inference(avatar_split_clause,[],[f111,f142,f128]) ).

fof(f111,plain,
    ( sk_c11 = sF5
    | sk_c10 = sF2 ),
    inference(definition_folding,[],[f38,f60,f65]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f242,plain,
    ( spl15_14
    | spl15_4 ),
    inference(avatar_split_clause,[],[f101,f137,f192]) ).

fof(f101,plain,
    ( sk_c11 = sF1
    | sk_c11 = sF3 ),
    inference(definition_folding,[],[f30,f61,f58]) ).

fof(f30,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c11 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f240,plain,
    ( spl15_14
    | spl15_2 ),
    inference(avatar_split_clause,[],[f62,f128,f192]) ).

fof(f62,plain,
    ( sk_c10 = sF2
    | sk_c11 = sF3 ),
    inference(definition_folding,[],[f40,f61,f60]) ).

fof(f40,axiom,
    ( sk_c10 = inverse(sk_c2)
    | sk_c11 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f239,plain,
    ( spl15_8
    | spl15_6 ),
    inference(avatar_split_clause,[],[f113,f146,f156]) ).

fof(f113,plain,
    ( sk_c11 = sF11
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f15,f88,f77]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f237,plain,
    ( spl15_4
    | spl15_15 ),
    inference(avatar_split_clause,[],[f87,f198,f137]) ).

fof(f87,plain,
    ( sk_c8 = sF6
    | sk_c11 = sF1 ),
    inference(definition_folding,[],[f29,f58,f67]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f236,plain,
    ( spl15_3
    | spl15_9 ),
    inference(avatar_split_clause,[],[f90,f160,f133]) ).

fof(f90,plain,
    ( sk_c10 = sF4
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f53,f82,f63]) ).

fof(f53,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f235,plain,
    ( spl15_5
    | spl15_11 ),
    inference(avatar_split_clause,[],[f84,f169,f142]) ).

fof(f84,plain,
    ( sk_c9 = sF9
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f8,f65,f73]) ).

fof(f8,axiom,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f234,plain,
    ( spl15_9
    | spl15_12 ),
    inference(avatar_split_clause,[],[f64,f174,f160]) ).

fof(f64,plain,
    ( sk_c6 = sF0
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f51,f57,f63]) ).

fof(f51,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

fof(f231,plain,
    ( spl15_5
    | spl15_4 ),
    inference(avatar_split_clause,[],[f66,f137,f142]) ).

fof(f66,plain,
    ( sk_c11 = sF1
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f28,f58,f65]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f230,plain,
    ( spl15_9
    | spl15_7 ),
    inference(avatar_split_clause,[],[f120,f151,f160]) ).

fof(f120,plain,
    ( sk_c8 = sF12
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f52,f63,f80]) ).

fof(f52,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f229,plain,
    ( ~ spl15_11
    | spl15_16
    | spl15_17
    | spl15_18
    | spl15_19
    | spl15_20 ),
    inference(avatar_split_clause,[],[f104,f227,f224,f221,f218,f215,f169]) ).

fof(f104,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | sk_c11 != multiply(X7,inverse(X7))
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != inverse(X4)
      | sk_c11 != inverse(X5)
      | sk_c10 != inverse(X6)
      | sk_c9 != sF9
      | sk_c10 != multiply(X4,sk_c9)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(X5,sk_c11)
      | inverse(X9) != multiply(X9,inverse(X7))
      | sk_c11 != multiply(inverse(X7),sk_c10) ),
    inference(definition_folding,[],[f56,f73]) ).

fof(f56,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X4)
      | sk_c10 != multiply(X5,sk_c11)
      | inverse(X9) != multiply(X9,inverse(X7))
      | sk_c9 != multiply(X6,sk_c10)
      | multiply(sk_c10,sk_c11) != sk_c9
      | sk_c10 != inverse(X6)
      | sk_c11 != multiply(X7,inverse(X7))
      | sk_c11 != multiply(inverse(X7),sk_c10)
      | inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(X4,sk_c9) ),
    inference(equality_resolution,[],[f55]) ).

fof(f55,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X4)
      | sk_c10 != multiply(X5,sk_c11)
      | inverse(X7) != X8
      | inverse(X9) != multiply(X9,X8)
      | sk_c9 != multiply(X6,sk_c10)
      | multiply(sk_c10,sk_c11) != sk_c9
      | sk_c10 != inverse(X6)
      | sk_c11 != multiply(X7,X8)
      | sk_c11 != multiply(X8,sk_c10)
      | inverse(multiply(X9,X8)) != X8
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(X4,sk_c9) ),
    inference(equality_resolution,[],[f54]) ).

fof(f54,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X4)
      | multiply(X9,X8) != X10
      | sk_c10 != multiply(X5,sk_c11)
      | inverse(X7) != X8
      | inverse(X9) != X10
      | sk_c9 != multiply(X6,sk_c10)
      | multiply(sk_c10,sk_c11) != sk_c9
      | sk_c10 != inverse(X6)
      | sk_c11 != multiply(X7,X8)
      | sk_c11 != multiply(X8,sk_c10)
      | inverse(X10) != X8
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(X4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f213,plain,
    ( spl15_4
    | spl15_8 ),
    inference(avatar_split_clause,[],[f98,f156,f137]) ).

fof(f98,plain,
    ( sk_c11 = sF14
    | sk_c11 = sF1 ),
    inference(definition_folding,[],[f25,f58,f88]) ).

fof(f25,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f212,plain,
    ( spl15_9
    | spl15_13 ),
    inference(avatar_split_clause,[],[f70,f181,f160]) ).

fof(f70,plain,
    ( sk_c10 = sF7
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f44,f63,f69]) ).

fof(f44,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f211,plain,
    ( spl15_14
    | spl15_6 ),
    inference(avatar_split_clause,[],[f117,f146,f192]) ).

fof(f117,plain,
    ( sk_c11 = sF11
    | sk_c11 = sF3 ),
    inference(definition_folding,[],[f20,f61,f77]) ).

fof(f20,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c11 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f210,plain,
    ( spl15_11
    | spl15_13 ),
    inference(avatar_split_clause,[],[f97,f181,f169]) ).

fof(f97,plain,
    ( sk_c10 = sF7
    | sk_c9 = sF9 ),
    inference(definition_folding,[],[f4,f69,f73]) ).

fof(f4,axiom,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f209,plain,
    ( spl15_15
    | spl15_6 ),
    inference(avatar_split_clause,[],[f78,f146,f198]) ).

fof(f78,plain,
    ( sk_c11 = sF11
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f19,f77,f67]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f208,plain,
    ( spl15_9
    | spl15_15 ),
    inference(avatar_split_clause,[],[f68,f198,f160]) ).

fof(f68,plain,
    ( sk_c8 = sF6
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f49,f63,f67]) ).

fof(f49,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f207,plain,
    ( spl15_2
    | spl15_15 ),
    inference(avatar_split_clause,[],[f92,f198,f128]) ).

fof(f92,plain,
    ( sk_c8 = sF6
    | sk_c10 = sF2 ),
    inference(definition_folding,[],[f39,f60,f67]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f206,plain,
    ( spl15_8
    | spl15_11 ),
    inference(avatar_split_clause,[],[f89,f169,f156]) ).

fof(f89,plain,
    ( sk_c9 = sF9
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f5,f88,f73]) ).

fof(f5,axiom,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f205,plain,
    ( spl15_1
    | spl15_11 ),
    inference(avatar_split_clause,[],[f93,f169,f124]) ).

fof(f93,plain,
    ( sk_c9 = sF9
    | sk_c9 = sF8 ),
    inference(definition_folding,[],[f6,f73,f71]) ).

fof(f6,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f204,plain,
    ( spl15_3
    | spl15_2 ),
    inference(avatar_split_clause,[],[f112,f128,f133]) ).

fof(f112,plain,
    ( sk_c10 = sF2
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f43,f60,f82]) ).

fof(f43,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f203,plain,
    ( spl15_8
    | spl15_2 ),
    inference(avatar_split_clause,[],[f103,f128,f156]) ).

fof(f103,plain,
    ( sk_c10 = sF2
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f35,f88,f60]) ).

fof(f35,axiom,
    ( sk_c10 = inverse(sk_c2)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f201,plain,
    ( spl15_15
    | spl15_11 ),
    inference(avatar_split_clause,[],[f118,f169,f198]) ).

fof(f118,plain,
    ( sk_c9 = sF9
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f9,f73,f67]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f196,plain,
    ( spl15_9
    | spl15_14 ),
    inference(avatar_split_clause,[],[f99,f192,f160]) ).

fof(f99,plain,
    ( sk_c11 = sF3
    | sk_c10 = sF4 ),
    inference(definition_folding,[],[f50,f63,f61]) ).

fof(f50,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

fof(f195,plain,
    ( spl15_14
    | spl15_11 ),
    inference(avatar_split_clause,[],[f114,f169,f192]) ).

fof(f114,plain,
    ( sk_c9 = sF9
    | sk_c11 = sF3 ),
    inference(definition_folding,[],[f10,f61,f73]) ).

fof(f10,axiom,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c11 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f190,plain,
    ( spl15_13
    | spl15_2 ),
    inference(avatar_split_clause,[],[f76,f128,f181]) ).

fof(f76,plain,
    ( sk_c10 = sF2
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f34,f60,f69]) ).

fof(f34,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f189,plain,
    ( spl15_1
    | spl15_9 ),
    inference(avatar_split_clause,[],[f79,f160,f124]) ).

fof(f79,plain,
    ( sk_c10 = sF4
    | sk_c9 = sF8 ),
    inference(definition_folding,[],[f46,f71,f63]) ).

fof(f46,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f188,plain,
    ( spl15_2
    | spl15_7 ),
    inference(avatar_split_clause,[],[f94,f151,f128]) ).

fof(f94,plain,
    ( sk_c8 = sF12
    | sk_c10 = sF2 ),
    inference(definition_folding,[],[f42,f60,f80]) ).

fof(f42,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f186,plain,
    ( spl15_10
    | spl15_2 ),
    inference(avatar_split_clause,[],[f116,f128,f165]) ).

fof(f116,plain,
    ( sk_c10 = sF2
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f37,f60,f74]) ).

fof(f37,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f177,plain,
    ( spl15_2
    | spl15_12 ),
    inference(avatar_split_clause,[],[f115,f174,f128]) ).

fof(f115,plain,
    ( sk_c6 = sF0
    | sk_c10 = sF2 ),
    inference(definition_folding,[],[f41,f60,f57]) ).

fof(f41,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f172,plain,
    ( spl15_10
    | spl15_11 ),
    inference(avatar_split_clause,[],[f75,f169,f165]) ).

fof(f75,plain,
    ( sk_c9 = sF9
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f7,f74,f73]) ).

fof(f7,axiom,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f163,plain,
    ( spl15_8
    | spl15_9 ),
    inference(avatar_split_clause,[],[f122,f160,f156]) ).

fof(f122,plain,
    ( sk_c10 = sF4
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f45,f88,f63]) ).

fof(f45,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f149,plain,
    ( spl15_5
    | spl15_6 ),
    inference(avatar_split_clause,[],[f100,f146,f142]) ).

fof(f100,plain,
    ( sk_c11 = sF11
    | sk_c11 = sF5 ),
    inference(definition_folding,[],[f18,f77,f65]) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP340-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:25:56 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  % (19327)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.47  % (19319)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.47  % (19319)Instruction limit reached!
% 0.19/0.47  % (19319)------------------------------
% 0.19/0.47  % (19319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (19335)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48  % (19330)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.48  % (19319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (19319)Termination reason: Unknown
% 0.19/0.48  % (19319)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (19319)Memory used [KB]: 5884
% 0.19/0.48  % (19319)Time elapsed: 0.004 s
% 0.19/0.48  % (19319)Instructions burned: 4 (million)
% 0.19/0.48  % (19319)------------------------------
% 0.19/0.48  % (19319)------------------------------
% 0.19/0.49  % (19314)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (19314)Instruction limit reached!
% 0.19/0.49  % (19314)------------------------------
% 0.19/0.49  % (19314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (19314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (19314)Termination reason: Unknown
% 0.19/0.49  % (19314)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (19314)Memory used [KB]: 5884
% 0.19/0.49  % (19314)Time elapsed: 0.003 s
% 0.19/0.49  % (19314)Instructions burned: 4 (million)
% 0.19/0.49  % (19314)------------------------------
% 0.19/0.49  % (19314)------------------------------
% 0.19/0.50  % (19328)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (19320)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50  % (19312)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (19310)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51  % (19307)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52  % (19322)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (19322)Instruction limit reached!
% 0.19/0.52  % (19322)------------------------------
% 0.19/0.52  % (19322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19322)Termination reason: Unknown
% 0.19/0.52  % (19322)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (19322)Memory used [KB]: 5884
% 0.19/0.52  % (19322)Time elapsed: 0.003 s
% 0.19/0.52  % (19322)Instructions burned: 3 (million)
% 0.19/0.52  % (19322)------------------------------
% 0.19/0.52  % (19322)------------------------------
% 0.19/0.52  % (19315)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (19316)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (19316)Instruction limit reached!
% 0.19/0.52  % (19316)------------------------------
% 0.19/0.52  % (19316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19316)Termination reason: Unknown
% 0.19/0.52  % (19316)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (19316)Memory used [KB]: 5884
% 0.19/0.52  % (19316)Time elapsed: 0.124 s
% 0.19/0.52  % (19316)Instructions burned: 6 (million)
% 0.19/0.52  % (19316)------------------------------
% 0.19/0.52  % (19316)------------------------------
% 0.19/0.52  % (19333)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.52  % (19306)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52  % (19311)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (19313)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (19330)Instruction limit reached!
% 0.19/0.53  % (19330)------------------------------
% 0.19/0.53  % (19330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19308)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53  % (19309)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53  % (19308)Instruction limit reached!
% 0.19/0.53  % (19308)------------------------------
% 0.19/0.53  % (19308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19308)Termination reason: Unknown
% 0.19/0.53  % (19308)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (19308)Memory used [KB]: 5884
% 0.19/0.53  % (19308)Time elapsed: 0.003 s
% 0.19/0.53  % (19308)Instructions burned: 4 (million)
% 0.19/0.53  % (19308)------------------------------
% 0.19/0.53  % (19308)------------------------------
% 0.19/0.53  % (19325)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (19317)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53  % (19310)Refutation not found, incomplete strategy% (19310)------------------------------
% 0.19/0.53  % (19310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19310)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (19310)Memory used [KB]: 6012
% 0.19/0.53  % (19310)Time elapsed: 0.118 s
% 0.19/0.53  % (19310)Instructions burned: 6 (million)
% 0.19/0.53  % (19310)------------------------------
% 0.19/0.53  % (19310)------------------------------
% 0.19/0.53  % (19331)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.53  % (19332)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53  % (19326)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (19332)Refutation not found, incomplete strategy% (19332)------------------------------
% 0.19/0.54  % (19332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19332)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (19332)Memory used [KB]: 5884
% 0.19/0.54  % (19332)Time elapsed: 0.147 s
% 0.19/0.54  % (19332)Instructions burned: 5 (million)
% 0.19/0.54  % (19332)------------------------------
% 0.19/0.54  % (19332)------------------------------
% 0.19/0.54  % (19329)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54  % (19329)Refutation not found, incomplete strategy% (19329)------------------------------
% 0.19/0.54  % (19329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19329)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (19329)Memory used [KB]: 5884
% 0.19/0.54  % (19329)Time elapsed: 0.148 s
% 0.19/0.54  % (19329)Instructions burned: 5 (million)
% 0.19/0.54  % (19329)------------------------------
% 0.19/0.54  % (19329)------------------------------
% 0.19/0.54  % (19318)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.54  % (19320)Instruction limit reached!
% 0.19/0.54  % (19320)------------------------------
% 0.19/0.54  % (19320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19323)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (19318)Instruction limit reached!
% 0.19/0.54  % (19318)------------------------------
% 0.19/0.54  % (19318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19325)Instruction limit reached!
% 0.19/0.54  % (19325)------------------------------
% 0.19/0.54  % (19325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19321)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (19318)Termination reason: Unknown
% 0.19/0.54  % (19325)Termination reason: Unknown
% 0.19/0.54  % (19318)Termination phase: Saturation
% 0.19/0.54  % (19325)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  % (19318)Memory used [KB]: 5884
% 0.19/0.54  % (19325)Memory used [KB]: 6012
% 0.19/0.54  % (19318)Time elapsed: 0.148 s
% 0.19/0.54  % (19325)Time elapsed: 0.149 s
% 0.19/0.54  % (19318)Instructions burned: 5 (million)
% 0.19/0.54  % (19325)Instructions burned: 7 (million)
% 0.19/0.54  % (19318)------------------------------
% 0.19/0.54  % (19318)------------------------------
% 0.19/0.54  % (19325)------------------------------
% 0.19/0.54  % (19325)------------------------------
% 0.19/0.54  % (19320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19320)Termination reason: Unknown
% 0.19/0.54  % (19320)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (19320)Memory used [KB]: 1663
% 0.19/0.54  % (19320)Time elapsed: 0.087 s
% 0.19/0.54  % (19320)Instructions burned: 29 (million)
% 0.19/0.54  % (19320)------------------------------
% 0.19/0.54  % (19320)------------------------------
% 0.19/0.54  % (19334)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54  % (19321)Instruction limit reached!
% 0.19/0.54  % (19321)------------------------------
% 0.19/0.54  % (19321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19321)Termination reason: Unknown
% 0.19/0.54  % (19321)Termination phase: Finite model building preprocessing
% 0.19/0.54  
% 0.19/0.54  % (19321)Memory used [KB]: 1407
% 0.19/0.54  % (19321)Time elapsed: 0.004 s
% 0.19/0.54  % (19321)Instructions burned: 7 (million)
% 0.19/0.54  % (19321)------------------------------
% 0.19/0.54  % (19321)------------------------------
% 0.19/0.55  % (19324)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.58/0.55  % (19330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (19330)Termination reason: Unknown
% 1.58/0.55  % (19330)Termination phase: Saturation
% 1.58/0.55  
% 1.58/0.55  % (19330)Memory used [KB]: 6908
% 1.58/0.55  % (19330)Time elapsed: 0.156 s
% 1.58/0.55  % (19330)Instructions burned: 47 (million)
% 1.58/0.55  % (19330)------------------------------
% 1.58/0.55  % (19330)------------------------------
% 1.58/0.55  % (19327)Instruction limit reached!
% 1.58/0.55  % (19327)------------------------------
% 1.58/0.55  % (19327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (19327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (19327)Termination reason: Unknown
% 1.58/0.55  % (19327)Termination phase: Saturation
% 1.58/0.55  
% 1.58/0.55  % (19327)Memory used [KB]: 7164
% 1.58/0.55  % (19327)Time elapsed: 0.159 s
% 1.58/0.55  % (19327)Instructions burned: 67 (million)
% 1.58/0.55  % (19327)------------------------------
% 1.58/0.55  % (19327)------------------------------
% 1.58/0.55  % (19323)Instruction limit reached!
% 1.58/0.55  % (19323)------------------------------
% 1.58/0.55  % (19323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (19312)Instruction limit reached!
% 1.58/0.55  % (19312)------------------------------
% 1.58/0.55  % (19312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (19311)Instruction limit reached!
% 1.58/0.56  % (19311)------------------------------
% 1.58/0.56  % (19311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (19312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (19326)Instruction limit reached!
% 1.58/0.56  % (19326)------------------------------
% 1.58/0.56  % (19326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (19326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (19326)Termination reason: Unknown
% 1.58/0.56  % (19326)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (19326)Memory used [KB]: 1407
% 1.58/0.56  % (19326)Time elapsed: 0.004 s
% 1.58/0.56  % (19326)Instructions burned: 7 (million)
% 1.58/0.56  % (19326)------------------------------
% 1.58/0.56  % (19326)------------------------------
% 1.58/0.56  % (19312)Termination reason: Unknown
% 1.58/0.56  % (19312)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (19312)Memory used [KB]: 1663
% 1.58/0.56  % (19312)Time elapsed: 0.103 s
% 1.58/0.56  % (19312)Instructions burned: 50 (million)
% 1.58/0.56  % (19312)------------------------------
% 1.58/0.56  % (19312)------------------------------
% 1.58/0.56  % (19317)Instruction limit reached!
% 1.58/0.56  % (19317)------------------------------
% 1.58/0.56  % (19317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (19317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (19317)Termination reason: Unknown
% 1.58/0.56  % (19317)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (19317)Memory used [KB]: 6268
% 1.58/0.56  % (19317)Time elapsed: 0.174 s
% 1.58/0.56  % (19317)Instructions burned: 23 (million)
% 1.58/0.56  % (19317)------------------------------
% 1.58/0.56  % (19317)------------------------------
% 1.58/0.56  % (19323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (19323)Termination reason: Unknown
% 1.58/0.56  % (19323)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (19323)Memory used [KB]: 6012
% 1.58/0.56  % (19323)Time elapsed: 0.159 s
% 1.58/0.56  % (19323)Instructions burned: 9 (million)
% 1.58/0.56  % (19323)------------------------------
% 1.58/0.56  % (19323)------------------------------
% 1.75/0.56  % (19334)Instruction limit reached!
% 1.75/0.56  % (19334)------------------------------
% 1.75/0.56  % (19334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.56  % (19334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (19334)Termination reason: Unknown
% 1.75/0.57  % (19334)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (19334)Memory used [KB]: 6268
% 1.75/0.57  % (19334)Time elapsed: 0.163 s
% 1.75/0.57  % (19334)Instructions burned: 20 (million)
% 1.75/0.57  % (19334)------------------------------
% 1.75/0.57  % (19334)------------------------------
% 1.75/0.57  % (19311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (19311)Termination reason: Unknown
% 1.75/0.57  % (19311)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (19311)Memory used [KB]: 6268
% 1.75/0.57  % (19311)Time elapsed: 0.143 s
% 1.75/0.57  % (19311)Instructions burned: 25 (million)
% 1.75/0.57  % (19311)------------------------------
% 1.75/0.57  % (19311)------------------------------
% 1.75/0.59  % (19313)Instruction limit reached!
% 1.75/0.59  % (19313)------------------------------
% 1.75/0.59  % (19313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (19313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (19313)Termination reason: Unknown
% 1.75/0.59  % (19313)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (19313)Memory used [KB]: 7036
% 1.75/0.59  % (19313)Time elapsed: 0.189 s
% 1.75/0.59  % (19313)Instructions burned: 52 (million)
% 1.75/0.59  % (19313)------------------------------
% 1.75/0.59  % (19313)------------------------------
% 1.75/0.59  % (19315)Refutation not found, non-redundant clauses discarded% (19315)------------------------------
% 1.75/0.59  % (19315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (19315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (19315)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.75/0.59  
% 1.75/0.59  % (19315)Memory used [KB]: 6652
% 1.75/0.59  % (19315)Time elapsed: 0.188 s
% 1.75/0.59  % (19315)Instructions burned: 50 (million)
% 1.75/0.59  % (19315)------------------------------
% 1.75/0.59  % (19315)------------------------------
% 1.75/0.59  % (19307)Instruction limit reached!
% 1.75/0.59  % (19307)------------------------------
% 1.75/0.59  % (19307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (19307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (19307)Termination reason: Unknown
% 1.75/0.59  % (19307)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (19307)Memory used [KB]: 1663
% 1.75/0.59  % (19307)Time elapsed: 0.187 s
% 1.75/0.59  % (19307)Instructions burned: 42 (million)
% 1.75/0.59  % (19307)------------------------------
% 1.75/0.59  % (19307)------------------------------
% 1.75/0.60  % (19324)Instruction limit reached!
% 1.75/0.60  % (19324)------------------------------
% 1.75/0.60  % (19324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (19324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (19324)Termination reason: Unknown
% 1.75/0.60  % (19324)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (19324)Memory used [KB]: 10746
% 1.75/0.60  % (19324)Time elapsed: 0.201 s
% 1.75/0.60  % (19324)Instructions burned: 28 (million)
% 1.75/0.60  % (19324)------------------------------
% 1.75/0.60  % (19324)------------------------------
% 1.75/0.60  % (19309)Instruction limit reached!
% 1.75/0.60  % (19309)------------------------------
% 1.75/0.60  % (19309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (19309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (19309)Termination reason: Unknown
% 1.75/0.60  % (19309)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (19309)Memory used [KB]: 6396
% 1.75/0.60  % (19309)Time elapsed: 0.177 s
% 1.75/0.60  % (19309)Instructions burned: 43 (million)
% 1.75/0.60  % (19309)------------------------------
% 1.75/0.60  % (19309)------------------------------
% 1.75/0.60  % (19333)Instruction limit reached!
% 1.75/0.60  % (19333)------------------------------
% 1.75/0.60  % (19333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61  % (19335)Instruction limit reached!
% 1.75/0.61  % (19335)------------------------------
% 1.75/0.61  % (19335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61  % (19335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61  % (19335)Termination reason: Unknown
% 1.75/0.61  % (19335)Termination phase: Saturation
% 1.75/0.61  
% 1.75/0.61  % (19335)Memory used [KB]: 7675
% 1.75/0.61  % (19335)Time elapsed: 0.241 s
% 1.75/0.61  % (19335)Instructions burned: 100 (million)
% 1.75/0.61  % (19335)------------------------------
% 1.75/0.61  % (19335)------------------------------
% 1.75/0.62  % (19333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.62  % (19333)Termination reason: Unknown
% 1.75/0.62  % (19333)Termination phase: Saturation
% 1.75/0.62  
% 1.75/0.62  % (19333)Memory used [KB]: 1791
% 1.75/0.62  % (19333)Time elapsed: 0.214 s
% 1.75/0.62  % (19333)Instructions burned: 73 (million)
% 1.75/0.62  % (19333)------------------------------
% 1.75/0.62  % (19333)------------------------------
% 1.75/0.62  % (19368)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.75/0.62  % (19331)Instruction limit reached!
% 1.75/0.62  % (19331)------------------------------
% 1.75/0.62  % (19331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.62  % (19331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.62  % (19331)Termination reason: Unknown
% 1.75/0.62  % (19331)Termination phase: Saturation
% 1.75/0.62  
% 1.75/0.62  % (19331)Memory used [KB]: 7036
% 1.75/0.62  % (19331)Time elapsed: 0.226 s
% 1.75/0.62  % (19331)Instructions burned: 81 (million)
% 1.75/0.62  % (19331)------------------------------
% 1.75/0.62  % (19331)------------------------------
% 2.07/0.63  % (19341)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.07/0.64  % (19328)Instruction limit reached!
% 2.07/0.64  % (19328)------------------------------
% 2.07/0.64  % (19328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64  % (19328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64  % (19328)Termination reason: Unknown
% 2.07/0.64  % (19328)Termination phase: Saturation
% 2.07/0.64  
% 2.07/0.64  % (19328)Memory used [KB]: 6908
% 2.07/0.64  % (19328)Time elapsed: 0.173 s
% 2.07/0.64  % (19328)Instructions burned: 97 (million)
% 2.07/0.64  % (19328)------------------------------
% 2.07/0.64  % (19328)------------------------------
% 2.07/0.64  % (19365)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 2.07/0.64  % (19341)Instruction limit reached!
% 2.07/0.64  % (19341)------------------------------
% 2.07/0.64  % (19341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65  % (19372)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 2.07/0.65  % (19306)First to succeed.
% 2.07/0.66  % (19378)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 2.15/0.66  % (19341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (19341)Termination reason: Unknown
% 2.15/0.66  % (19341)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (19341)Memory used [KB]: 6140
% 2.15/0.66  % (19341)Time elapsed: 0.133 s
% 2.15/0.66  % (19341)Instructions burned: 15 (million)
% 2.15/0.66  % (19341)------------------------------
% 2.15/0.66  % (19341)------------------------------
% 2.15/0.66  % (19381)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 2.15/0.66  % (19359)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.15/0.66  % (19384)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 2.15/0.66  % (19306)Refutation found. Thanks to Tanya!
% 2.15/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.15/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.67  % (19306)------------------------------
% 2.15/0.67  % (19306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (19306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67  % (19306)Termination reason: Refutation
% 2.15/0.67  
% 2.15/0.67  % (19306)Memory used [KB]: 6908
% 2.15/0.67  % (19306)Time elapsed: 0.262 s
% 2.15/0.67  % (19306)Instructions burned: 73 (million)
% 2.15/0.67  % (19306)------------------------------
% 2.15/0.67  % (19306)------------------------------
% 2.15/0.67  % (19305)Success in time 0.327 s
%------------------------------------------------------------------------------