TSTP Solution File: GRP374-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP374-1 : 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 : n005.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 16:15:35 EDT 2022

% Result   : Unsatisfiable 1.37s 0.61s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  266 (  26 unt;   0 def)
%            Number of atoms       :  981 ( 327 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 1386 ( 671   ~; 699   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1224,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f113,f118,f123,f133,f138,f139,f154,f155,f156,f157,f165,f166,f167,f170,f171,f173,f174,f175,f176,f177,f178,f179,f180,f181,f315,f358,f393,f406,f554,f561,f582,f961,f1127,f1144,f1166,f1201,f1223]) ).

fof(f1223,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1215,f1165]) ).

fof(f1165,plain,
    ( identity = inverse(identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f1156,f1163]) ).

fof(f1163,plain,
    ( identity = sF0
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f98,f1016]) ).

fof(f1016,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f1015,f2]) ).

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

fof(f1015,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f228,f452]) ).

fof(f452,plain,
    ( sk_c8 = sF1
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f137,f450]) ).

fof(f450,plain,
    ( sk_c8 = sk_c6
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f434,f447]) ).

fof(f447,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl12_1
    | ~ spl12_8 ),
    inference(backward_demodulation,[],[f428,f127]) ).

fof(f127,plain,
    ( sk_c7 = sF9
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl12_8
  <=> sk_c7 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f428,plain,
    ( sk_c8 = multiply(sk_c8,sF9)
    | ~ spl12_1 ),
    inference(backward_demodulation,[],[f270,f94]) ).

fof(f94,plain,
    ( sk_c8 = sF10
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl12_1
  <=> sk_c8 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f270,plain,
    sk_c8 = multiply(sF10,sF9),
    inference(forward_demodulation,[],[f234,f57]) ).

fof(f57,plain,
    inverse(sk_c3) = sF10,
    introduced(function_definition,[]) ).

fof(f234,plain,
    sk_c8 = multiply(inverse(sk_c3),sF9),
    inference(superposition,[],[f208,f55]) ).

fof(f55,plain,
    multiply(sk_c3,sk_c8) = sF9,
    introduced(function_definition,[]) ).

fof(f208,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f198,f1]) ).

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

fof(f198,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f434,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f43,f137]) ).

fof(f43,plain,
    multiply(sk_c8,sk_c7) = sF1,
    introduced(function_definition,[]) ).

fof(f137,plain,
    ( sk_c6 = sF1
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl12_10
  <=> sk_c6 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f228,plain,
    sk_c7 = multiply(inverse(sk_c8),sF1),
    inference(superposition,[],[f208,f43]) ).

fof(f98,plain,
    ( sk_c7 = sF0
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl12_2
  <=> sk_c7 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f1156,plain,
    ( inverse(identity) = sF0
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f42,f1086]) ).

fof(f1086,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1085,f1081]) ).

fof(f1081,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f440,f1016]) ).

fof(f440,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl12_4 ),
    inference(backward_demodulation,[],[f46,f108]) ).

fof(f108,plain,
    ( sk_c7 = sF3
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl12_4
  <=> sk_c7 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f46,plain,
    multiply(sk_c8,sk_c5) = sF3,
    introduced(function_definition,[]) ).

fof(f1085,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl12_6
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1084,f117]) ).

fof(f117,plain,
    ( sk_c8 = sF7
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl12_6
  <=> sk_c8 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f1084,plain,
    ( sk_c8 = multiply(sF7,sk_c5)
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f318,f162]) ).

fof(f162,plain,
    ( sk_c5 = sF5
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl12_15
  <=> sk_c5 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f318,plain,
    sk_c8 = multiply(sF7,sF5),
    inference(forward_demodulation,[],[f235,f52]) ).

fof(f52,plain,
    inverse(sk_c4) = sF7,
    introduced(function_definition,[]) ).

fof(f235,plain,
    sk_c8 = multiply(inverse(sk_c4),sF5),
    inference(superposition,[],[f208,f49]) ).

fof(f49,plain,
    multiply(sk_c4,sk_c8) = sF5,
    introduced(function_definition,[]) ).

fof(f42,plain,
    inverse(sk_c8) = sF0,
    introduced(function_definition,[]) ).

fof(f1215,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(trivial_inequality_removal,[],[f1208]) ).

fof(f1208,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(superposition,[],[f1204,f1]) ).

fof(f1204,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1203,f1016]) ).

fof(f1203,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1202,f1091]) ).

fof(f1091,plain,
    ( identity = sk_c6
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f450,f1086]) ).

fof(f1202,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | identity != inverse(X4) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_12
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f147,f1091]) ).

fof(f147,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl12_12
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

fof(f1201,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f1200]) ).

fof(f1200,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1199,f1165]) ).

fof(f1199,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1194,f1165]) ).

fof(f1194,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(trivial_inequality_removal,[],[f1190]) ).

fof(f1190,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(superposition,[],[f1174,f2]) ).

fof(f1174,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1173,f1016]) ).

fof(f1173,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1172,f1086]) ).

fof(f1172,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,identity) )
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_13
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f150,f1086]) ).

fof(f150,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl12_13
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f1166,plain,
    ( spl12_20
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(avatar_split_clause,[],[f1088,f160,f135,f125,f115,f106,f92,f409]) ).

fof(f409,plain,
    ( spl12_20
  <=> identity = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).

fof(f1088,plain,
    ( identity = sF7
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(backward_demodulation,[],[f117,f1086]) ).

fof(f1144,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1143,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f1142,f1016]) ).

fof(f1142,plain,
    ( identity != sk_c7
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | spl12_9
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f131,f1112]) ).

fof(f1112,plain,
    ( identity = sF2
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1111,f1]) ).

fof(f1111,plain,
    ( multiply(identity,identity) = sF2
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f1110,f1086]) ).

fof(f1110,plain,
    ( sF2 = multiply(sk_c8,identity)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f44,f1091]) ).

fof(f44,plain,
    multiply(sk_c8,sk_c6) = sF2,
    introduced(function_definition,[]) ).

fof(f131,plain,
    ( sk_c7 != sF2
    | spl12_9 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl12_9
  <=> sk_c7 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f1127,plain,
    ( spl12_18
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(avatar_split_clause,[],[f1126,f160,f135,f125,f115,f106,f92,f369]) ).

fof(f369,plain,
    ( spl12_18
  <=> identity = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).

fof(f1126,plain,
    ( identity = inverse(sk_c3)
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_15 ),
    inference(forward_demodulation,[],[f432,f1086]) ).

fof(f432,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl12_1 ),
    inference(backward_demodulation,[],[f57,f94]) ).

fof(f961,plain,
    ( ~ spl12_1
    | spl12_2
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_18 ),
    inference(avatar_contradiction_clause,[],[f960]) ).

fof(f960,plain,
    ( $false
    | ~ spl12_1
    | spl12_2
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_18 ),
    inference(subsumption_resolution,[],[f959,f918]) ).

fof(f918,plain,
    ( identity != sk_c7
    | ~ spl12_1
    | spl12_2
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f97,f916]) ).

fof(f916,plain,
    ( identity = sF0
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f912,f915]) ).

fof(f915,plain,
    ( identity = inverse(identity)
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f370,f914]) ).

fof(f914,plain,
    ( identity = sk_c3
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f745,f913]) ).

fof(f913,plain,
    ( ! [X0] : multiply(sF0,X0) = X0
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(backward_demodulation,[],[f224,f912]) ).

fof(f224,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f208,f1]) ).

fof(f745,plain,
    ( sk_c3 = multiply(sF0,identity)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f429,f42]) ).

fof(f429,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl12_1 ),
    inference(backward_demodulation,[],[f239,f94]) ).

fof(f239,plain,
    sk_c3 = multiply(inverse(sF10),identity),
    inference(superposition,[],[f208,f192]) ).

fof(f192,plain,
    identity = multiply(sF10,sk_c3),
    inference(superposition,[],[f2,f57]) ).

fof(f370,plain,
    ( identity = inverse(sk_c3)
    | ~ spl12_18 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f912,plain,
    ( inverse(identity) = sF0
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f42,f892]) ).

fof(f892,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f432,f370]) ).

fof(f97,plain,
    ( sk_c7 != sF0
    | spl12_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f959,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f958,f1]) ).

fof(f958,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_10
    | ~ spl12_18 ),
    inference(forward_demodulation,[],[f453,f892]) ).

fof(f453,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl12_1
    | ~ spl12_8
    | ~ spl12_9
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f185,f450]) ).

fof(f185,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f44,f132]) ).

fof(f132,plain,
    ( sk_c7 = sF2
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f582,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(avatar_contradiction_clause,[],[f581]) ).

fof(f581,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(subsumption_resolution,[],[f580,f565]) ).

fof(f565,plain,
    ( identity = inverse(identity)
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f361,f562]) ).

fof(f562,plain,
    ( identity = sk_c4
    | ~ spl12_20 ),
    inference(forward_demodulation,[],[f558,f2]) ).

fof(f558,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f238,f410]) ).

fof(f410,plain,
    ( identity = sF7
    | ~ spl12_20 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f238,plain,
    sk_c4 = multiply(inverse(sF7),identity),
    inference(superposition,[],[f208,f193]) ).

fof(f193,plain,
    identity = multiply(sF7,sk_c4),
    inference(superposition,[],[f2,f52]) ).

fof(f361,plain,
    ( identity = inverse(sk_c4)
    | ~ spl12_16 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl12_16
  <=> identity = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

fof(f580,plain,
    ( identity != inverse(identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14
    | ~ spl12_16
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f576,f565]) ).

fof(f576,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f574,f1]) ).

fof(f574,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(superposition,[],[f551,f2]) ).

fof(f551,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f550,f465]) ).

fof(f465,plain,
    ( identity = sk_c7
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f459,f191]) ).

fof(f191,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl12_2 ),
    inference(superposition,[],[f2,f186]) ).

fof(f186,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl12_2 ),
    inference(backward_demodulation,[],[f42,f98]) ).

fof(f459,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f436,f450]) ).

fof(f436,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl12_2
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f241,f137]) ).

fof(f241,plain,
    ( sk_c7 = multiply(sk_c7,sF1)
    | ~ spl12_2 ),
    inference(forward_demodulation,[],[f228,f186]) ).

fof(f550,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c7 != multiply(identity,multiply(X7,identity)) )
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f549,f484]) ).

fof(f484,plain,
    ( identity = sk_c8
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f475,f2]) ).

fof(f475,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(backward_demodulation,[],[f232,f465]) ).

fof(f232,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl12_2 ),
    inference(superposition,[],[f208,f191]) ).

fof(f549,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != inverse(X7) )
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_8
    | ~ spl12_10
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f153,f484]) ).

fof(f153,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl12_14 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl12_14
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

fof(f561,plain,
    ( spl12_16
    | ~ spl12_20 ),
    inference(avatar_split_clause,[],[f560,f409,f360]) ).

fof(f560,plain,
    ( identity = inverse(sk_c4)
    | ~ spl12_20 ),
    inference(backward_demodulation,[],[f52,f410]) ).

fof(f554,plain,
    ( spl12_20
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(avatar_split_clause,[],[f553,f135,f125,f115,f96,f92,f409]) ).

fof(f553,plain,
    ( identity = sF7
    | ~ spl12_1
    | ~ spl12_2
    | ~ spl12_6
    | ~ spl12_8
    | ~ spl12_10 ),
    inference(forward_demodulation,[],[f117,f484]) ).

fof(f406,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(avatar_contradiction_clause,[],[f405]) ).

fof(f405,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f404,f301]) ).

fof(f301,plain,
    ( identity = inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f253,f291]) ).

fof(f291,plain,
    ( identity = sk_c8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f261,f286]) ).

fof(f286,plain,
    ( ! [X8] : multiply(sk_c8,X8) = X8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f282,f1]) ).

fof(f282,plain,
    ( ! [X8] : multiply(sk_c8,multiply(identity,X8)) = X8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f263,f273]) ).

fof(f273,plain,
    ( identity = sk_c6
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f272,f1]) ).

fof(f272,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f271,f253]) ).

fof(f271,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f229,f247]) ).

fof(f247,plain,
    ( identity = sk_c7
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(forward_demodulation,[],[f244,f191]) ).

fof(f244,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f241,f243]) ).

fof(f243,plain,
    ( sk_c8 = sF1
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f43,f242]) ).

fof(f242,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(forward_demodulation,[],[f236,f190]) ).

fof(f190,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f50,f122]) ).

fof(f122,plain,
    ( sk_c8 = sF6
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl12_7
  <=> sk_c8 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f50,plain,
    inverse(sk_c1) = sF6,
    introduced(function_definition,[]) ).

fof(f236,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c7)
    | ~ spl12_5 ),
    inference(superposition,[],[f208,f187]) ).

fof(f187,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl12_5 ),
    inference(backward_demodulation,[],[f68,f112]) ).

fof(f112,plain,
    ( sk_c7 = sF11
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl12_5
  <=> sk_c7 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f68,plain,
    multiply(sk_c1,sk_c8) = sF11,
    introduced(function_definition,[]) ).

fof(f229,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl12_9 ),
    inference(superposition,[],[f208,f185]) ).

fof(f263,plain,
    ( ! [X8] : multiply(sk_c8,multiply(sk_c6,X8)) = X8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ( ! [X8] : multiply(sk_c8,multiply(sk_c6,X8)) = multiply(identity,X8)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9 ),
    inference(backward_demodulation,[],[f199,f247]) ).

fof(f199,plain,
    ( ! [X8] : multiply(sk_c8,multiply(sk_c6,X8)) = multiply(sk_c7,X8)
    | ~ spl12_9 ),
    inference(superposition,[],[f3,f185]) ).

fof(f261,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f242,f247]) ).

fof(f253,plain,
    ( identity = inverse(sk_c8)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(backward_demodulation,[],[f186,f247]) ).

fof(f404,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f403,f301]) ).

fof(f403,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f399,f1]) ).

fof(f399,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(superposition,[],[f396,f2]) ).

fof(f396,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f395,f291]) ).

fof(f395,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != inverse(X7) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f394,f247]) ).

fof(f394,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | sk_c8 != inverse(X7) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_14 ),
    inference(forward_demodulation,[],[f153,f291]) ).

fof(f393,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f392,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(subsumption_resolution,[],[f391,f301]) ).

fof(f391,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f385,f301]) ).

fof(f385,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(trivial_inequality_removal,[],[f382]) ).

fof(f382,plain,
    ( identity != inverse(inverse(identity))
    | identity != identity
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(superposition,[],[f379,f2]) ).

fof(f379,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f378,f247]) ).

fof(f378,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c7 != multiply(X3,identity) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f377,f291]) ).

fof(f377,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | identity != inverse(X3) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f150,f291]) ).

fof(f358,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(subsumption_resolution,[],[f356,f301]) ).

fof(f356,plain,
    ( identity != inverse(identity)
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f352,f301]) ).

fof(f352,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(trivial_inequality_removal,[],[f349]) ).

fof(f349,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(superposition,[],[f334,f2]) ).

fof(f334,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f333,f273]) ).

fof(f333,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | identity != multiply(X4,identity) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f332,f247]) ).

fof(f332,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | sk_c6 != inverse(X4) )
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(forward_demodulation,[],[f147,f273]) ).

fof(f315,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | spl12_10 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | spl12_10 ),
    inference(subsumption_resolution,[],[f279,f291]) ).

fof(f279,plain,
    ( identity != sk_c8
    | ~ spl12_2
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_9
    | spl12_10 ),
    inference(backward_demodulation,[],[f246,f273]) ).

fof(f246,plain,
    ( sk_c8 != sk_c6
    | ~ spl12_5
    | ~ spl12_7
    | spl12_10 ),
    inference(backward_demodulation,[],[f136,f243]) ).

fof(f136,plain,
    ( sk_c6 != sF1
    | spl12_10 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f181,plain,
    ( spl12_1
    | spl12_7 ),
    inference(avatar_split_clause,[],[f84,f120,f92]) ).

fof(f84,plain,
    ( sk_c8 = sF6
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f18,f50,f57]) ).

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

fof(f180,plain,
    ( spl12_15
    | spl12_2 ),
    inference(avatar_split_clause,[],[f59,f96,f160]) ).

fof(f59,plain,
    ( sk_c7 = sF0
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f8,f42,f49]) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f179,plain,
    ( spl12_10
    | spl12_9 ),
    inference(avatar_split_clause,[],[f66,f130,f135]) ).

fof(f66,plain,
    ( sk_c7 = sF2
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f22,f44,f43]) ).

fof(f22,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f178,plain,
    ( spl12_5
    | spl12_15 ),
    inference(avatar_split_clause,[],[f77,f160,f110]) ).

fof(f77,plain,
    ( sk_c5 = sF5
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f14,f68,f49]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f177,plain,
    ( spl12_5
    | spl12_1 ),
    inference(avatar_split_clause,[],[f88,f92,f110]) ).

fof(f88,plain,
    ( sk_c8 = sF10
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f12,f57,f68]) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f176,plain,
    ( spl12_2
    | spl12_8 ),
    inference(avatar_split_clause,[],[f82,f125,f96]) ).

fof(f82,plain,
    ( sk_c7 = sF9
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f5,f55,f42]) ).

fof(f5,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f175,plain,
    ( spl12_7
    | spl12_4 ),
    inference(avatar_split_clause,[],[f67,f106,f120]) ).

fof(f67,plain,
    ( sk_c7 = sF3
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f19,f50,f46]) ).

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

fof(f174,plain,
    ( spl12_9
    | spl12_15 ),
    inference(avatar_split_clause,[],[f90,f160,f130]) ).

fof(f90,plain,
    ( sk_c5 = sF5
    | sk_c7 = sF2 ),
    inference(definition_folding,[],[f26,f49,f44]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f173,plain,
    ( spl12_10
    | spl12_5 ),
    inference(avatar_split_clause,[],[f81,f110,f135]) ).

fof(f81,plain,
    ( sk_c7 = sF11
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f10,f43,f68]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f171,plain,
    ( spl12_15
    | spl12_7 ),
    inference(avatar_split_clause,[],[f51,f120,f160]) ).

fof(f51,plain,
    ( sk_c8 = sF6
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f20,f50,f49]) ).

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

fof(f170,plain,
    ( spl12_7
    | spl12_8 ),
    inference(avatar_split_clause,[],[f80,f125,f120]) ).

fof(f80,plain,
    ( sk_c7 = sF9
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f17,f50,f55]) ).

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

fof(f167,plain,
    ( spl12_9
    | spl12_6 ),
    inference(avatar_split_clause,[],[f63,f115,f130]) ).

fof(f63,plain,
    ( sk_c8 = sF7
    | sk_c7 = sF2 ),
    inference(definition_folding,[],[f27,f52,f44]) ).

fof(f27,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f166,plain,
    ( spl12_2
    | spl12_4 ),
    inference(avatar_split_clause,[],[f85,f106,f96]) ).

fof(f85,plain,
    ( sk_c7 = sF3
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f7,f46,f42]) ).

fof(f7,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f165,plain,
    ( spl12_8
    | spl12_5 ),
    inference(avatar_split_clause,[],[f83,f110,f125]) ).

fof(f83,plain,
    ( sk_c7 = sF11
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f11,f55,f68]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f157,plain,
    ( spl12_9
    | spl12_8 ),
    inference(avatar_split_clause,[],[f72,f125,f130]) ).

fof(f72,plain,
    ( sk_c7 = sF9
    | sk_c7 = sF2 ),
    inference(definition_folding,[],[f23,f44,f55]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f156,plain,
    ( spl12_6
    | spl12_5 ),
    inference(avatar_split_clause,[],[f69,f110,f115]) ).

fof(f69,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f15,f68,f52]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f155,plain,
    ( spl12_10
    | spl12_2 ),
    inference(avatar_split_clause,[],[f79,f96,f135]) ).

fof(f79,plain,
    ( sk_c7 = sF0
    | sk_c6 = sF1 ),
    inference(definition_folding,[],[f4,f43,f42]) ).

fof(f4,axiom,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f154,plain,
    ( ~ spl12_10
    | spl12_12
    | ~ spl12_9
    | spl12_13
    | spl12_14
    | spl12_13
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f45,f96,f149,f152,f149,f130,f146,f135]) ).

fof(f45,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c7 != sF0
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c7 != sF2
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != sF1
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c6 != inverse(X4) ),
    inference(definition_folding,[],[f41,f44,f43,f42]) ).

fof(f41,plain,
    ! [X3,X7,X4,X5] :
      ( inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c8 != inverse(X5) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c6 != inverse(X4)
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c8 != inverse(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f139,plain,
    ( spl12_9
    | spl12_4 ),
    inference(avatar_split_clause,[],[f89,f106,f130]) ).

fof(f89,plain,
    ( sk_c7 = sF3
    | sk_c7 = sF2 ),
    inference(definition_folding,[],[f25,f46,f44]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f138,plain,
    ( spl12_7
    | spl12_10 ),
    inference(avatar_split_clause,[],[f76,f135,f120]) ).

fof(f76,plain,
    ( sk_c6 = sF1
    | sk_c8 = sF6 ),
    inference(definition_folding,[],[f16,f50,f43]) ).

fof(f16,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f133,plain,
    ( spl12_1
    | spl12_9 ),
    inference(avatar_split_clause,[],[f70,f130,f92]) ).

fof(f70,plain,
    ( sk_c7 = sF2
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f24,f44,f57]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f123,plain,
    ( spl12_6
    | spl12_7 ),
    inference(avatar_split_clause,[],[f65,f120,f115]) ).

fof(f65,plain,
    ( sk_c8 = sF6
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f21,f52,f50]) ).

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

fof(f118,plain,
    ( spl12_2
    | spl12_6 ),
    inference(avatar_split_clause,[],[f87,f115,f96]) ).

fof(f87,plain,
    ( sk_c8 = sF7
    | sk_c7 = sF0 ),
    inference(definition_folding,[],[f9,f52,f42]) ).

fof(f9,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f113,plain,
    ( spl12_4
    | spl12_5 ),
    inference(avatar_split_clause,[],[f71,f110,f106]) ).

fof(f71,plain,
    ( sk_c7 = sF11
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f13,f46,f68]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f99,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f58,f96,f92]) ).

fof(f58,plain,
    ( sk_c7 = sF0
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f6,f42,f57]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP374-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:26:33 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (25127)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50  % (25151)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)
% 0.20/0.51  % (25143)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)
% 0.20/0.51  % (25134)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)
% 0.20/0.51  % (25134)Instruction limit reached!
% 0.20/0.51  % (25134)------------------------------
% 0.20/0.51  % (25134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (25134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (25134)Termination reason: Unknown
% 0.20/0.51  % (25134)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (25134)Memory used [KB]: 5884
% 0.20/0.51  % (25134)Time elapsed: 0.108 s
% 0.20/0.51  % (25134)Instructions burned: 5 (million)
% 0.20/0.51  % (25134)------------------------------
% 0.20/0.51  % (25134)------------------------------
% 0.20/0.51  % (25135)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)
% 1.25/0.51  % (25135)Instruction limit reached!
% 1.25/0.51  % (25135)------------------------------
% 1.25/0.51  % (25135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.51  % (25126)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)
% 1.25/0.51  % (25128)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)
% 1.25/0.52  % (25145)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)
% 1.25/0.52  % (25126)Refutation not found, incomplete strategy% (25126)------------------------------
% 1.25/0.52  % (25126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52  % (25126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52  % (25126)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.52  
% 1.25/0.52  % (25126)Memory used [KB]: 6012
% 1.25/0.52  % (25126)Time elapsed: 0.119 s
% 1.25/0.52  % (25126)Instructions burned: 6 (million)
% 1.25/0.52  % (25126)------------------------------
% 1.25/0.52  % (25126)------------------------------
% 1.25/0.52  % (25136)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)
% 1.25/0.52  % (25142)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)
% 1.25/0.52  % (25144)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)
% 1.25/0.52  % (25127)Instruction limit reached!
% 1.25/0.52  % (25127)------------------------------
% 1.25/0.52  % (25127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52  % (25127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52  % (25127)Termination reason: Unknown
% 1.25/0.52  % (25127)Termination phase: Saturation
% 1.25/0.52  
% 1.25/0.52  % (25127)Memory used [KB]: 6140
% 1.25/0.52  % (25127)Time elapsed: 0.125 s
% 1.25/0.52  % (25127)Instructions burned: 26 (million)
% 1.25/0.52  % (25127)------------------------------
% 1.25/0.52  % (25127)------------------------------
% 1.25/0.53  % (25135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (25135)Termination reason: Unknown
% 1.25/0.53  % (25135)Termination phase: Saturation
% 1.25/0.53  
% 1.25/0.53  % (25135)Memory used [KB]: 5884
% 1.25/0.53  % (25135)Time elapsed: 0.004 s
% 1.25/0.53  % (25135)Instructions burned: 4 (million)
% 1.25/0.53  % (25135)------------------------------
% 1.25/0.53  % (25135)------------------------------
% 1.25/0.53  % (25142)Instruction limit reached!
% 1.25/0.53  % (25142)------------------------------
% 1.25/0.53  % (25142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53  % (25142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (25142)Termination reason: Unknown
% 1.25/0.53  % (25142)Termination phase: Saturation
% 1.25/0.53  
% 1.25/0.53  % (25142)Memory used [KB]: 1407
% 1.25/0.53  % (25142)Time elapsed: 0.126 s
% 1.25/0.53  % (25142)Instructions burned: 7 (million)
% 1.25/0.53  % (25142)------------------------------
% 1.25/0.53  % (25142)------------------------------
% 1.25/0.53  % (25137)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)
% 1.25/0.53  % (25124)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)
% 1.37/0.53  % (25123)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)
% 1.37/0.53  % (25132)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)
% 1.37/0.53  % (25146)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)
% 1.37/0.54  % (25122)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.37/0.54  % (25132)Instruction limit reached!
% 1.37/0.54  % (25132)------------------------------
% 1.37/0.54  % (25132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (25138)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)
% 1.37/0.54  % (25131)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)
% 1.37/0.54  % (25138)Instruction limit reached!
% 1.37/0.54  % (25138)------------------------------
% 1.37/0.54  % (25138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (25130)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)
% 1.37/0.54  % (25138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (25138)Termination reason: Unknown
% 1.37/0.54  % (25138)Termination phase: Saturation
% 1.37/0.54  
% 1.37/0.54  % (25138)Memory used [KB]: 5884
% 1.37/0.54  % (25138)Time elapsed: 0.003 s
% 1.37/0.54  % (25138)Instructions burned: 3 (million)
% 1.37/0.54  % (25138)------------------------------
% 1.37/0.54  % (25138)------------------------------
% 1.37/0.54  % (25149)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)
% 1.37/0.54  % (25130)Instruction limit reached!
% 1.37/0.54  % (25130)------------------------------
% 1.37/0.54  % (25130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (25130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (25130)Termination reason: Unknown
% 1.37/0.54  % (25130)Termination phase: Saturation
% 1.37/0.54  
% 1.37/0.54  % (25130)Memory used [KB]: 5884
% 1.37/0.54  % (25130)Time elapsed: 0.004 s
% 1.37/0.54  % (25130)Instructions burned: 3 (million)
% 1.37/0.54  % (25130)------------------------------
% 1.37/0.54  % (25130)------------------------------
% 1.37/0.54  % (25145)Refutation not found, incomplete strategy% (25145)------------------------------
% 1.37/0.54  % (25145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (25145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (25145)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54  
% 1.37/0.54  % (25145)Memory used [KB]: 5884
% 1.37/0.54  % (25145)Time elapsed: 0.107 s
% 1.37/0.54  % (25145)Instructions burned: 3 (million)
% 1.37/0.54  % (25145)------------------------------
% 1.37/0.54  % (25145)------------------------------
% 1.37/0.54  % (25129)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)
% 1.37/0.55  % (25140)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)
% 1.37/0.55  % (25147)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)
% 1.37/0.55  % (25137)Instruction limit reached!
% 1.37/0.55  % (25137)------------------------------
% 1.37/0.55  % (25137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (25148)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)
% 1.37/0.55  % (25137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (25137)Termination reason: Unknown
% 1.37/0.55  % (25137)Termination phase: Finite model building preprocessing
% 1.37/0.55  
% 1.37/0.55  % (25137)Memory used [KB]: 6012
% 1.37/0.55  % (25137)Time elapsed: 0.005 s
% 1.37/0.55  % (25137)Instructions burned: 7 (million)
% 1.37/0.55  % (25137)------------------------------
% 1.37/0.55  % (25137)------------------------------
% 1.37/0.55  % (25132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (25132)Termination reason: Unknown
% 1.37/0.55  % (25132)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (25132)Memory used [KB]: 5884
% 1.37/0.55  % (25132)Time elapsed: 0.134 s
% 1.37/0.55  % (25132)Instructions burned: 6 (million)
% 1.37/0.55  % (25132)------------------------------
% 1.37/0.55  % (25132)------------------------------
% 1.37/0.55  % (25148)Refutation not found, incomplete strategy% (25148)------------------------------
% 1.37/0.55  % (25148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (25148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (25148)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55  
% 1.37/0.55  % (25148)Memory used [KB]: 5884
% 1.37/0.55  % (25148)Time elapsed: 0.144 s
% 1.37/0.55  % (25148)Instructions burned: 4 (million)
% 1.37/0.55  % (25148)------------------------------
% 1.37/0.55  % (25148)------------------------------
% 1.37/0.55  % (25124)Instruction limit reached!
% 1.37/0.55  % (25124)------------------------------
% 1.37/0.55  % (25124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (25124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (25124)Termination reason: Unknown
% 1.37/0.55  % (25124)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (25124)Memory used [KB]: 5884
% 1.37/0.55  % (25124)Time elapsed: 0.004 s
% 1.37/0.55  % (25124)Instructions burned: 5 (million)
% 1.37/0.55  % (25124)------------------------------
% 1.37/0.55  % (25124)------------------------------
% 1.37/0.55  % (25139)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.37/0.56  % (25144)Refutation not found, incomplete strategy% (25144)------------------------------
% 1.37/0.56  % (25144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (25139)Instruction limit reached!
% 1.37/0.56  % (25139)------------------------------
% 1.37/0.56  % (25139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (25144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57  % (25144)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.57  
% 1.37/0.57  % (25144)Memory used [KB]: 6140
% 1.37/0.57  % (25144)Time elapsed: 0.163 s
% 1.37/0.57  % (25144)Instructions burned: 19 (million)
% 1.37/0.57  % (25144)------------------------------
% 1.37/0.57  % (25144)------------------------------
% 1.37/0.57  % (25136)Instruction limit reached!
% 1.37/0.57  % (25136)------------------------------
% 1.37/0.57  % (25136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (25136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57  % (25136)Termination reason: Unknown
% 1.37/0.57  % (25136)Termination phase: Saturation
% 1.37/0.57  
% 1.37/0.57  % (25136)Memory used [KB]: 1663
% 1.37/0.57  % (25136)Time elapsed: 0.159 s
% 1.37/0.57  % (25136)Instructions burned: 29 (million)
% 1.37/0.57  % (25136)------------------------------
% 1.37/0.57  % (25136)------------------------------
% 1.37/0.57  % (25128)Instruction limit reached!
% 1.37/0.57  % (25128)------------------------------
% 1.37/0.57  % (25128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (25139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57  % (25139)Termination reason: Unknown
% 1.37/0.57  % (25139)Termination phase: Saturation
% 1.37/0.57  
% 1.37/0.57  % (25139)Memory used [KB]: 6012
% 1.37/0.57  % (25139)Time elapsed: 0.155 s
% 1.37/0.57  % (25139)Instructions burned: 8 (million)
% 1.37/0.57  % (25139)------------------------------
% 1.37/0.57  % (25139)------------------------------
% 1.37/0.58  % (25140)Refutation not found, incomplete strategy% (25140)------------------------------
% 1.37/0.58  % (25140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.58  % (25140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.58  % (25140)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.58  
% 1.37/0.58  % (25140)Memory used [KB]: 10618
% 1.37/0.58  % (25140)Time elapsed: 0.162 s
% 1.37/0.58  % (25140)Instructions burned: 19 (million)
% 1.37/0.58  % (25140)------------------------------
% 1.37/0.58  % (25140)------------------------------
% 1.37/0.58  % (25128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.58  % (25128)Termination reason: Unknown
% 1.37/0.58  % (25128)Termination phase: Saturation
% 1.37/0.58  
% 1.37/0.58  % (25128)Memory used [KB]: 1791
% 1.37/0.58  % (25128)Time elapsed: 0.169 s
% 1.37/0.58  % (25128)Instructions burned: 51 (million)
% 1.37/0.58  % (25143)Instruction limit reached!
% 1.37/0.58  % (25143)------------------------------
% 1.37/0.58  % (25143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.58  % (25143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.58  % (25143)Termination reason: Unknown
% 1.37/0.58  % (25143)Termination phase: Saturation
% 1.37/0.58  
% 1.37/0.58  % (25143)Memory used [KB]: 7291
% 1.37/0.58  % (25143)Time elapsed: 0.192 s
% 1.37/0.58  % (25143)Instructions burned: 69 (million)
% 1.37/0.58  % (25143)------------------------------
% 1.37/0.58  % (25143)------------------------------
% 1.37/0.58  % (25128)------------------------------
% 1.37/0.58  % (25128)------------------------------
% 1.37/0.58  % (25133)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)
% 1.37/0.59  % (25122)First to succeed.
% 1.37/0.59  % (25150)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)
% 1.37/0.59  % (25150)Refutation not found, incomplete strategy% (25150)------------------------------
% 1.37/0.59  % (25150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.59  % (25150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.59  % (25150)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.59  
% 1.37/0.59  % (25150)Memory used [KB]: 5884
% 1.37/0.59  % (25150)Time elapsed: 0.187 s
% 1.37/0.59  % (25150)Instructions burned: 3 (million)
% 1.37/0.59  % (25150)------------------------------
% 1.37/0.59  % (25150)------------------------------
% 1.37/0.60  % (25123)Instruction limit reached!
% 1.37/0.60  % (25123)------------------------------
% 1.37/0.60  % (25123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.60  % (25123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.60  % (25123)Termination reason: Unknown
% 1.37/0.60  % (25123)Termination phase: Saturation
% 1.37/0.60  
% 1.37/0.60  % (25123)Memory used [KB]: 1663
% 1.37/0.60  % (25123)Time elapsed: 0.193 s
% 1.37/0.60  % (25123)Instructions burned: 43 (million)
% 1.37/0.60  % (25123)------------------------------
% 1.37/0.60  % (25123)------------------------------
% 1.37/0.60  % (25125)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)
% 1.37/0.61  % (25146)Instruction limit reached!
% 1.37/0.61  % (25146)------------------------------
% 1.37/0.61  % (25146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61  % (25146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61  % (25146)Termination reason: Unknown
% 1.37/0.61  % (25146)Termination phase: Saturation
% 1.37/0.61  
% 1.37/0.61  % (25146)Memory used [KB]: 6908
% 1.37/0.61  % (25146)Time elapsed: 0.179 s
% 1.37/0.61  % (25146)Instructions burned: 47 (million)
% 1.37/0.61  % (25146)------------------------------
% 1.37/0.61  % (25146)------------------------------
% 1.37/0.61  % (25129)Instruction limit reached!
% 1.37/0.61  % (25129)------------------------------
% 1.37/0.61  % (25129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61  % (25129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61  % (25129)Termination reason: Unknown
% 1.37/0.61  % (25129)Termination phase: Saturation
% 1.37/0.61  
% 1.37/0.61  % (25129)Memory used [KB]: 7164
% 1.37/0.61  % (25129)Time elapsed: 0.161 s
% 1.37/0.61  % (25129)Instructions burned: 51 (million)
% 1.37/0.61  % (25129)------------------------------
% 1.37/0.61  % (25129)------------------------------
% 1.37/0.61  % (25122)Refutation found. Thanks to Tanya!
% 1.37/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.61  % (25122)------------------------------
% 1.37/0.61  % (25122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61  % (25122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61  % (25122)Termination reason: Refutation
% 1.37/0.61  
% 1.37/0.61  % (25122)Memory used [KB]: 6396
% 1.37/0.61  % (25122)Time elapsed: 0.158 s
% 1.37/0.61  % (25122)Instructions burned: 37 (million)
% 1.37/0.61  % (25122)------------------------------
% 1.37/0.61  % (25122)------------------------------
% 1.37/0.61  % (25121)Success in time 0.247 s
%------------------------------------------------------------------------------