TSTP Solution File: GRP217-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP217-1 : 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 : n002.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 16:14:54 EDT 2022

% Result   : Unsatisfiable 1.71s 0.60s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  316 (  32 unt;   0 def)
%            Number of atoms       :  939 ( 394 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 1169 ( 546   ~; 595   |;   0   &)
%                                         (  28 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   30 (  28 usr;  29 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  26 con; 0-2 aty)
%            Number of variables   :   61 (  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1134,plain,
    $false,
    inference(avatar_sat_refutation,[],[f150,f159,f164,f169,f178,f179,f180,f183,f184,f185,f187,f189,f202,f203,f204,f212,f213,f214,f218,f220,f221,f222,f223,f224,f225,f226,f227,f228,f233,f234,f256,f274,f334,f386,f464,f469,f501,f511,f530,f544,f548,f560,f680,f689,f896,f975,f1057,f1065,f1077,f1102,f1114,f1127,f1130]) ).

fof(f1130,plain,
    ( ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_20
    | ~ spl14_23
    | spl14_35 ),
    inference(avatar_contradiction_clause,[],[f1129]) ).

fof(f1129,plain,
    ( $false
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_20
    | ~ spl14_23
    | spl14_35 ),
    inference(subsumption_resolution,[],[f1128,f1]) ).

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

fof(f1128,plain,
    ( identity != multiply(identity,identity)
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_20
    | ~ spl14_23
    | spl14_35 ),
    inference(forward_demodulation,[],[f529,f1100]) ).

fof(f1100,plain,
    ( identity = sF5
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f1060,f259]) ).

fof(f259,plain,
    ( identity = sk_c11
    | ~ spl14_20 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl14_20
  <=> identity = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).

fof(f1060,plain,
    ( sk_c11 = sF5
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f149,f1035]) ).

fof(f1035,plain,
    ( sk_c11 = sk_c5
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f934,f1012]) ).

fof(f1012,plain,
    ( sk_c11 = multiply(sk_c1,sk_c11)
    | ~ spl14_9
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f893,f272]) ).

fof(f272,plain,
    ( sk_c11 = sk_c10
    | ~ spl14_23 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl14_23
  <=> sk_c11 = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).

fof(f893,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl14_9 ),
    inference(forward_demodulation,[],[f71,f158]) ).

fof(f158,plain,
    ( sk_c11 = sF8
    | ~ spl14_9 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl14_9
  <=> sk_c11 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f71,plain,
    multiply(sk_c1,sk_c10) = sF8,
    introduced(function_definition,[]) ).

fof(f934,plain,
    ( sk_c5 = multiply(sk_c1,sk_c11)
    | ~ spl14_7
    | ~ spl14_10
    | ~ spl14_12 ),
    inference(forward_demodulation,[],[f862,f912]) ).

fof(f912,plain,
    ( sk_c1 = sk_c4
    | ~ spl14_10
    | ~ spl14_12 ),
    inference(forward_demodulation,[],[f911,f910]) ).

fof(f910,plain,
    ( sk_c1 = multiply(inverse(sk_c11),identity)
    | ~ spl14_12 ),
    inference(forward_demodulation,[],[f322,f173]) ).

fof(f173,plain,
    ( sk_c11 = sF11
    | ~ spl14_12 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl14_12
  <=> sk_c11 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).

fof(f322,plain,
    sk_c1 = multiply(inverse(sF11),identity),
    inference(superposition,[],[f291,f242]) ).

fof(f242,plain,
    identity = multiply(sF11,sk_c1),
    inference(superposition,[],[f2,f76]) ).

fof(f76,plain,
    inverse(sk_c1) = sF11,
    introduced(function_definition,[]) ).

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

fof(f291,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f277,f1]) ).

fof(f277,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/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f911,plain,
    ( sk_c4 = multiply(inverse(sk_c11),identity)
    | ~ spl14_10 ),
    inference(forward_demodulation,[],[f321,f163]) ).

fof(f163,plain,
    ( sk_c11 = sF9
    | ~ spl14_10 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl14_10
  <=> sk_c11 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).

fof(f321,plain,
    sk_c4 = multiply(inverse(sF9),identity),
    inference(superposition,[],[f291,f246]) ).

fof(f246,plain,
    identity = multiply(sF9,sk_c4),
    inference(superposition,[],[f2,f73]) ).

fof(f73,plain,
    inverse(sk_c4) = sF9,
    introduced(function_definition,[]) ).

fof(f862,plain,
    ( sk_c5 = multiply(sk_c4,sk_c11)
    | ~ spl14_7 ),
    inference(forward_demodulation,[],[f64,f149]) ).

fof(f64,plain,
    multiply(sk_c4,sk_c11) = sF5,
    introduced(function_definition,[]) ).

fof(f149,plain,
    ( sk_c5 = sF5
    | ~ spl14_7 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl14_7
  <=> sk_c5 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).

fof(f529,plain,
    ( identity != multiply(identity,sF5)
    | spl14_35 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl14_35
  <=> identity = multiply(identity,sF5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).

fof(f1127,plain,
    ( ~ spl14_9
    | ~ spl14_20
    | spl14_31 ),
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1126,plain,
    ( $false
    | ~ spl14_9
    | ~ spl14_20
    | spl14_31 ),
    inference(subsumption_resolution,[],[f1125,f1]) ).

fof(f1125,plain,
    ( identity != multiply(identity,identity)
    | ~ spl14_9
    | ~ spl14_20
    | spl14_31 ),
    inference(forward_demodulation,[],[f510,f1081]) ).

fof(f1081,plain,
    ( identity = sF8
    | ~ spl14_9
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f158,f259]) ).

fof(f510,plain,
    ( identity != multiply(identity,sF8)
    | spl14_31 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl14_31
  <=> identity = multiply(identity,sF8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).

fof(f1114,plain,
    ( spl14_34
    | ~ spl14_10
    | ~ spl14_20 ),
    inference(avatar_split_clause,[],[f1082,f258,f161,f523]) ).

fof(f523,plain,
    ( spl14_34
  <=> identity = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).

fof(f1082,plain,
    ( identity = sF9
    | ~ spl14_10
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f163,f259]) ).

fof(f1102,plain,
    ( spl14_30
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(avatar_split_clause,[],[f1083,f258,f171,f504]) ).

fof(f504,plain,
    ( spl14_30
  <=> identity = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).

fof(f1083,plain,
    ( identity = sF11
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f173,f259]) ).

fof(f1077,plain,
    ( spl14_20
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_23
    | ~ spl14_25 ),
    inference(avatar_split_clause,[],[f1076,f461,f271,f171,f156,f258]) ).

fof(f461,plain,
    ( spl14_25
  <=> identity = multiply(sk_c1,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).

fof(f1076,plain,
    ( identity = sk_c11
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_23
    | ~ spl14_25 ),
    inference(backward_demodulation,[],[f1012,f1075]) ).

fof(f1075,plain,
    ( identity = multiply(sk_c1,sk_c11)
    | ~ spl14_12
    | ~ spl14_25 ),
    inference(forward_demodulation,[],[f462,f173]) ).

fof(f462,plain,
    ( identity = multiply(sk_c1,sF11)
    | ~ spl14_25 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1065,plain,
    ( ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_12
    | spl14_20
    | ~ spl14_23 ),
    inference(avatar_contradiction_clause,[],[f1064]) ).

fof(f1064,plain,
    ( $false
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_12
    | spl14_20
    | ~ spl14_23 ),
    inference(subsumption_resolution,[],[f1063,f260]) ).

fof(f260,plain,
    ( identity != sk_c11
    | spl14_20 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f1063,plain,
    ( identity = sk_c11
    | ~ spl14_7
    | ~ spl14_9
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_12
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f1035,f1062]) ).

fof(f1062,plain,
    ( identity = sk_c5
    | ~ spl14_11
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f1061,f2]) ).

fof(f1061,plain,
    ( sk_c5 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl14_11
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f886,f272]) ).

fof(f886,plain,
    ( sk_c5 = multiply(inverse(sk_c11),sk_c10)
    | ~ spl14_11 ),
    inference(forward_demodulation,[],[f312,f168]) ).

fof(f168,plain,
    ( sk_c10 = sF0
    | ~ spl14_11 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl14_11
  <=> sk_c10 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).

fof(f312,plain,
    sk_c5 = multiply(inverse(sk_c11),sF0),
    inference(superposition,[],[f291,f57]) ).

fof(f57,plain,
    multiply(sk_c11,sk_c5) = sF0,
    introduced(function_definition,[]) ).

fof(f1057,plain,
    ( ~ spl14_1
    | ~ spl14_4
    | ~ spl14_5
    | spl14_20
    | ~ spl14_23 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl14_1
    | ~ spl14_4
    | ~ spl14_5
    | spl14_20
    | ~ spl14_23 ),
    inference(subsumption_resolution,[],[f1055,f260]) ).

fof(f1055,plain,
    ( identity = sk_c11
    | ~ spl14_1
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f1054,f2]) ).

fof(f1054,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl14_1
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f1041,f1046]) ).

fof(f1046,plain,
    ( sk_c11 = sk_c3
    | ~ spl14_1
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f1040,f1042]) ).

fof(f1042,plain,
    ( sk_c11 = multiply(sk_c3,sk_c11)
    | ~ spl14_4
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f873,f272]) ).

fof(f873,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl14_4 ),
    inference(backward_demodulation,[],[f66,f135]) ).

fof(f135,plain,
    ( sk_c10 = sF6
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl14_4
  <=> sk_c10 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f66,plain,
    multiply(sk_c3,sk_c11) = sF6,
    introduced(function_definition,[]) ).

fof(f1040,plain,
    ( sk_c3 = multiply(sk_c3,sk_c11)
    | ~ spl14_1
    | ~ spl14_5
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f745,f272]) ).

fof(f745,plain,
    ( sk_c3 = multiply(sk_c3,sk_c10)
    | ~ spl14_1
    | ~ spl14_5 ),
    inference(forward_demodulation,[],[f592,f122]) ).

fof(f122,plain,
    ( sk_c10 = sF3
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl14_1
  <=> sk_c10 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f592,plain,
    ( sk_c3 = multiply(sk_c3,sF3)
    | ~ spl14_5 ),
    inference(backward_demodulation,[],[f325,f140]) ).

fof(f140,plain,
    ( sk_c3 = sF13
    | ~ spl14_5 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl14_5
  <=> sk_c3 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f325,plain,
    sk_c3 = multiply(sF13,sF3),
    inference(forward_demodulation,[],[f318,f86]) ).

fof(f86,plain,
    inverse(sk_c2) = sF13,
    introduced(function_definition,[]) ).

fof(f318,plain,
    sk_c3 = multiply(inverse(sk_c2),sF3),
    inference(superposition,[],[f291,f61]) ).

fof(f61,plain,
    multiply(sk_c2,sk_c3) = sF3,
    introduced(function_definition,[]) ).

fof(f1041,plain,
    ( sk_c11 = multiply(inverse(sk_c3),sk_c11)
    | ~ spl14_4
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f875,f272]) ).

fof(f875,plain,
    ( sk_c11 = multiply(inverse(sk_c3),sk_c10)
    | ~ spl14_4 ),
    inference(backward_demodulation,[],[f319,f135]) ).

fof(f319,plain,
    sk_c11 = multiply(inverse(sk_c3),sF6),
    inference(superposition,[],[f291,f66]) ).

fof(f975,plain,
    ( spl14_23
    | ~ spl14_7
    | ~ spl14_10
    | ~ spl14_11 ),
    inference(avatar_split_clause,[],[f904,f166,f161,f147,f271]) ).

fof(f904,plain,
    ( sk_c11 = sk_c10
    | ~ spl14_7
    | ~ spl14_10
    | ~ spl14_11 ),
    inference(backward_demodulation,[],[f860,f901]) ).

fof(f901,plain,
    ( sk_c11 = multiply(sk_c11,sk_c5)
    | ~ spl14_7
    | ~ spl14_10 ),
    inference(backward_demodulation,[],[f858,f163]) ).

fof(f858,plain,
    ( sk_c11 = multiply(sF9,sk_c5)
    | ~ spl14_7 ),
    inference(forward_demodulation,[],[f328,f149]) ).

fof(f328,plain,
    sk_c11 = multiply(sF9,sF5),
    inference(forward_demodulation,[],[f320,f73]) ).

fof(f320,plain,
    sk_c11 = multiply(inverse(sk_c4),sF5),
    inference(superposition,[],[f291,f64]) ).

fof(f860,plain,
    ( sk_c10 = multiply(sk_c11,sk_c5)
    | ~ spl14_11 ),
    inference(forward_demodulation,[],[f57,f168]) ).

fof(f896,plain,
    ( spl14_19
    | ~ spl14_12 ),
    inference(avatar_split_clause,[],[f895,f171,f253]) ).

fof(f253,plain,
    ( spl14_19
  <=> inverse(sk_c1) = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).

fof(f895,plain,
    ( inverse(sk_c1) = sk_c11
    | ~ spl14_12 ),
    inference(forward_demodulation,[],[f76,f173]) ).

fof(f689,plain,
    ( ~ spl14_9
    | ~ spl14_20
    | ~ spl14_23
    | spl14_25
    | ~ spl14_30 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | ~ spl14_9
    | ~ spl14_20
    | ~ spl14_23
    | spl14_25
    | ~ spl14_30 ),
    inference(subsumption_resolution,[],[f683,f559]) ).

fof(f559,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl14_9
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f398,f557]) ).

fof(f557,plain,
    ( identity = sF8
    | ~ spl14_9
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f158,f259]) ).

fof(f398,plain,
    ( sF8 = multiply(sk_c1,identity)
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f335,f259]) ).

fof(f335,plain,
    ( sF8 = multiply(sk_c1,sk_c11)
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f71,f272]) ).

fof(f683,plain,
    ( identity != multiply(sk_c1,identity)
    | spl14_25
    | ~ spl14_30 ),
    inference(backward_demodulation,[],[f463,f505]) ).

fof(f505,plain,
    ( identity = sF11
    | ~ spl14_30 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f463,plain,
    ( identity != multiply(sk_c1,sF11)
    | spl14_25 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f680,plain,
    ( ~ spl14_8
    | ~ spl14_20
    | spl14_22 ),
    inference(avatar_contradiction_clause,[],[f679]) ).

fof(f679,plain,
    ( $false
    | ~ spl14_8
    | ~ spl14_20
    | spl14_22 ),
    inference(subsumption_resolution,[],[f678,f664]) ).

fof(f664,plain,
    ( identity != inverse(identity)
    | ~ spl14_20
    | spl14_22 ),
    inference(forward_demodulation,[],[f269,f259]) ).

fof(f269,plain,
    ( sk_c11 != inverse(identity)
    | spl14_22 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl14_22
  <=> sk_c11 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).

fof(f678,plain,
    ( identity = inverse(identity)
    | ~ spl14_8
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f617,f259]) ).

fof(f617,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl14_8
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f241,f555]) ).

fof(f555,plain,
    ( identity = sk_c8
    | ~ spl14_8
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f554,f2]) ).

fof(f554,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl14_8
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f313,f259]) ).

fof(f313,plain,
    ( sk_c8 = multiply(inverse(sk_c11),identity)
    | ~ spl14_8 ),
    inference(superposition,[],[f291,f244]) ).

fof(f244,plain,
    ( identity = multiply(sk_c11,sk_c8)
    | ~ spl14_8 ),
    inference(superposition,[],[f2,f241]) ).

fof(f241,plain,
    ( sk_c11 = inverse(sk_c8)
    | ~ spl14_8 ),
    inference(backward_demodulation,[],[f68,f154]) ).

fof(f154,plain,
    ( sk_c11 = sF7
    | ~ spl14_8 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl14_8
  <=> sk_c11 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).

fof(f68,plain,
    inverse(sk_c8) = sF7,
    introduced(function_definition,[]) ).

fof(f560,plain,
    ( spl14_24
    | ~ spl14_9
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_split_clause,[],[f558,f271,f258,f156,f457]) ).

fof(f457,plain,
    ( spl14_24
  <=> identity = multiply(sF11,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).

fof(f558,plain,
    ( identity = multiply(sF11,identity)
    | ~ spl14_9
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f403,f557]) ).

fof(f403,plain,
    ( identity = multiply(sF11,sF8)
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f346,f259]) ).

fof(f346,plain,
    ( sk_c11 = multiply(sF11,sF8)
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f327,f272]) ).

fof(f327,plain,
    sk_c10 = multiply(sF11,sF8),
    inference(forward_demodulation,[],[f310,f76]) ).

fof(f310,plain,
    sk_c10 = multiply(inverse(sk_c1),sF8),
    inference(superposition,[],[f291,f71]) ).

fof(f548,plain,
    ( ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_contradiction_clause,[],[f547]) ).

fof(f547,plain,
    ( $false
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(subsumption_resolution,[],[f546,f1]) ).

fof(f546,plain,
    ( identity != multiply(identity,identity)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f539,f419]) ).

fof(f419,plain,
    ( identity = inverse(identity)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f406,f415]) ).

fof(f415,plain,
    ( identity = sk_c6
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f408,f2]) ).

fof(f408,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f362,f259]) ).

fof(f362,plain,
    ( sk_c6 = multiply(inverse(sk_c11),identity)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f316,f354]) ).

fof(f354,plain,
    ( sk_c11 = sk_c7
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f333,f338]) ).

fof(f338,plain,
    ( sk_c11 = multiply(sk_c7,sk_c11)
    | ~ spl14_6
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f236,f272]) ).

fof(f236,plain,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f63,f144]) ).

fof(f144,plain,
    ( sk_c11 = sF4
    | ~ spl14_6 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl14_6
  <=> sk_c11 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f63,plain,
    multiply(sk_c7,sk_c10) = sF4,
    introduced(function_definition,[]) ).

fof(f333,plain,
    ( sk_c7 = multiply(sk_c7,sk_c11)
    | ~ spl14_3
    | ~ spl14_13 ),
    inference(forward_demodulation,[],[f314,f239]) ).

fof(f239,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl14_3 ),
    inference(backward_demodulation,[],[f78,f131]) ).

fof(f131,plain,
    ( sk_c7 = sF12
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl14_3
  <=> sk_c7 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f78,plain,
    inverse(sk_c6) = sF12,
    introduced(function_definition,[]) ).

fof(f314,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c11)
    | ~ spl14_13 ),
    inference(superposition,[],[f291,f238]) ).

fof(f238,plain,
    ( sk_c11 = multiply(sk_c6,sk_c7)
    | ~ spl14_13 ),
    inference(backward_demodulation,[],[f60,f177]) ).

fof(f177,plain,
    ( sk_c11 = sF2
    | ~ spl14_13 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl14_13
  <=> sk_c11 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).

fof(f60,plain,
    multiply(sk_c6,sk_c7) = sF2,
    introduced(function_definition,[]) ).

fof(f316,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl14_3 ),
    inference(superposition,[],[f291,f243]) ).

fof(f243,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl14_3 ),
    inference(superposition,[],[f2,f239]) ).

fof(f406,plain,
    ( identity = inverse(sk_c6)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f357,f259]) ).

fof(f357,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f239,f354]) ).

fof(f539,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(trivial_inequality_removal,[],[f538]) ).

fof(f538,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f533,f2]) ).

fof(f533,plain,
    ( ! [X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X4,inverse(X4)) )
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f532,f395]) ).

fof(f395,plain,
    ( identity = sk_c10
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f272,f259]) ).

fof(f532,plain,
    ( ! [X4] :
        ( identity != multiply(inverse(X4),identity)
        | sk_c10 != multiply(X4,inverse(X4)) )
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f531,f395]) ).

fof(f531,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(inverse(X4),identity)
        | sk_c10 != multiply(X4,inverse(X4)) )
    | ~ spl14_17
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f201,f259]) ).

fof(f201,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(inverse(X4),sk_c11)
        | sk_c10 != multiply(X4,inverse(X4)) )
    | ~ spl14_17 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f200,plain,
    ( spl14_17
  <=> ! [X4] :
        ( sk_c10 != multiply(inverse(X4),sk_c11)
        | sk_c10 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).

fof(f544,plain,
    ( ~ spl14_25
    | ~ spl14_24
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_split_clause,[],[f535,f271,f258,f200,f457,f461]) ).

fof(f535,plain,
    ( identity != multiply(sF11,identity)
    | identity != multiply(sk_c1,sF11)
    | ~ spl14_17
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f533,f76]) ).

fof(f530,plain,
    ( ~ spl14_34
    | ~ spl14_35
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_split_clause,[],[f521,f271,f258,f197,f527,f523]) ).

fof(f197,plain,
    ( spl14_16
  <=> ! [X7] :
        ( sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
        | sk_c11 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).

fof(f521,plain,
    ( identity != multiply(identity,sF5)
    | identity != sF9
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f496,f73]) ).

fof(f496,plain,
    ( identity != multiply(identity,sF5)
    | identity != inverse(sk_c4)
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f490,f388]) ).

fof(f388,plain,
    ( sF5 = multiply(sk_c4,identity)
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f64,f259]) ).

fof(f490,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f489,f395]) ).

fof(f489,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c10 != multiply(identity,multiply(X7,identity)) )
    | ~ spl14_16
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f488,f259]) ).

fof(f488,plain,
    ( ! [X7] :
        ( sk_c11 != inverse(X7)
        | sk_c10 != multiply(identity,multiply(X7,identity)) )
    | ~ spl14_16
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f198,f259]) ).

fof(f198,plain,
    ( ! [X7] :
        ( sk_c11 != inverse(X7)
        | sk_c10 != multiply(sk_c11,multiply(X7,sk_c11)) )
    | ~ spl14_16 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f511,plain,
    ( ~ spl14_30
    | ~ spl14_31
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_split_clause,[],[f502,f271,f258,f197,f508,f504]) ).

fof(f502,plain,
    ( identity != multiply(identity,sF8)
    | identity != sF11
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f494,f76]) ).

fof(f494,plain,
    ( identity != inverse(sk_c1)
    | identity != multiply(identity,sF8)
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f490,f398]) ).

fof(f501,plain,
    ( ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_contradiction_clause,[],[f500]) ).

fof(f500,plain,
    ( $false
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(subsumption_resolution,[],[f499,f419]) ).

fof(f499,plain,
    ( identity != inverse(identity)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f498,f419]) ).

fof(f498,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(subsumption_resolution,[],[f493,f1]) ).

fof(f493,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl14_16
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f490,f2]) ).

fof(f469,plain,
    ( ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(subsumption_resolution,[],[f467,f1]) ).

fof(f467,plain,
    ( identity != multiply(identity,identity)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f454,f419]) ).

fof(f454,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(trivial_inequality_removal,[],[f453]) ).

fof(f453,plain,
    ( identity != multiply(identity,inverse(identity))
    | identity != identity
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f426,f2]) ).

fof(f426,plain,
    ( ! [X8] :
        ( identity != multiply(inverse(X8),identity)
        | identity != multiply(X8,inverse(X8)) )
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f425,f259]) ).

fof(f425,plain,
    ( ! [X8] :
        ( sk_c11 != multiply(X8,inverse(X8))
        | identity != multiply(inverse(X8),identity) )
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f424,f259]) ).

fof(f424,plain,
    ( ! [X8] :
        ( sk_c11 != multiply(inverse(X8),identity)
        | sk_c11 != multiply(X8,inverse(X8)) )
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f195,f395]) ).

fof(f195,plain,
    ( ! [X8] :
        ( sk_c11 != multiply(inverse(X8),sk_c10)
        | sk_c11 != multiply(X8,inverse(X8)) )
    | ~ spl14_15 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl14_15
  <=> ! [X8] :
        ( sk_c11 != multiply(X8,inverse(X8))
        | sk_c11 != multiply(inverse(X8),sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).

fof(f464,plain,
    ( ~ spl14_24
    | ~ spl14_25
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(avatar_split_clause,[],[f450,f271,f258,f194,f461,f457]) ).

fof(f450,plain,
    ( identity != multiply(sk_c1,sF11)
    | identity != multiply(sF11,identity)
    | ~ spl14_15
    | ~ spl14_20
    | ~ spl14_23 ),
    inference(superposition,[],[f426,f76]) ).

fof(f386,plain,
    ( spl14_20
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_23 ),
    inference(avatar_split_clause,[],[f385,f271,f175,f142,f129,f258]) ).

fof(f385,plain,
    ( identity = sk_c11
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_23 ),
    inference(forward_demodulation,[],[f365,f2]) ).

fof(f365,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl14_3
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f345,f354]) ).

fof(f345,plain,
    ( sk_c11 = multiply(inverse(sk_c7),sk_c11)
    | ~ spl14_6
    | ~ spl14_23 ),
    inference(backward_demodulation,[],[f315,f272]) ).

fof(f315,plain,
    ( sk_c10 = multiply(inverse(sk_c7),sk_c11)
    | ~ spl14_6 ),
    inference(superposition,[],[f291,f236]) ).

fof(f334,plain,
    ( spl14_23
    | ~ spl14_2
    | ~ spl14_8
    | ~ spl14_18 ),
    inference(avatar_split_clause,[],[f330,f206,f152,f124,f271]) ).

fof(f124,plain,
    ( spl14_2
  <=> sk_c9 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f206,plain,
    ( spl14_18
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).

fof(f330,plain,
    ( sk_c11 = sk_c10
    | ~ spl14_2
    | ~ spl14_8
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f237,f329]) ).

fof(f329,plain,
    ( sk_c11 = multiply(sk_c11,sk_c9)
    | ~ spl14_2
    | ~ spl14_8 ),
    inference(forward_demodulation,[],[f317,f241]) ).

fof(f317,plain,
    ( sk_c11 = multiply(inverse(sk_c8),sk_c9)
    | ~ spl14_2 ),
    inference(superposition,[],[f291,f240]) ).

fof(f240,plain,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | ~ spl14_2 ),
    inference(backward_demodulation,[],[f58,f126]) ).

fof(f126,plain,
    ( sk_c9 = sF1
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f58,plain,
    multiply(sk_c8,sk_c11) = sF1,
    introduced(function_definition,[]) ).

fof(f237,plain,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f74,f208]) ).

fof(f208,plain,
    ( sk_c10 = sF10
    | ~ spl14_18 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f74,plain,
    multiply(sk_c11,sk_c9) = sF10,
    introduced(function_definition,[]) ).

fof(f274,plain,
    ( ~ spl14_22
    | ~ spl14_23
    | ~ spl14_14 ),
    inference(avatar_split_clause,[],[f247,f191,f271,f267]) ).

fof(f191,plain,
    ( spl14_14
  <=> ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).

fof(f247,plain,
    ( sk_c11 != sk_c10
    | sk_c11 != inverse(identity)
    | ~ spl14_14 ),
    inference(superposition,[],[f192,f1]) ).

fof(f192,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c10)
        | sk_c11 != inverse(X3) )
    | ~ spl14_14 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f256,plain,
    ( ~ spl14_19
    | ~ spl14_9
    | ~ spl14_14 ),
    inference(avatar_split_clause,[],[f249,f191,f156,f253]) ).

fof(f249,plain,
    ( sk_c11 != sF8
    | inverse(sk_c1) != sk_c11
    | ~ spl14_14 ),
    inference(superposition,[],[f192,f71]) ).

fof(f234,plain,
    ( spl14_18
    | spl14_11 ),
    inference(avatar_split_clause,[],[f118,f166,f206]) ).

fof(f118,plain,
    ( sk_c10 = sF0
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f37,f74,f57]) ).

fof(f37,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c5)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f233,plain,
    ( spl14_3
    | spl14_9 ),
    inference(avatar_split_clause,[],[f114,f156,f129]) ).

fof(f114,plain,
    ( sk_c11 = sF8
    | sk_c7 = sF12 ),
    inference(definition_folding,[],[f11,f78,f71]) ).

fof(f11,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f228,plain,
    ( spl14_13
    | spl14_7 ),
    inference(avatar_split_clause,[],[f80,f147,f175]) ).

fof(f80,plain,
    ( sk_c5 = sF5
    | sk_c11 = sF2 ),
    inference(definition_folding,[],[f40,f60,f64]) ).

fof(f40,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c11)
    | sk_c11 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f227,plain,
    ( spl14_8
    | spl14_10 ),
    inference(avatar_split_clause,[],[f95,f161,f152]) ).

fof(f95,plain,
    ( sk_c11 = sF9
    | sk_c11 = sF7 ),
    inference(definition_folding,[],[f51,f68,f73]) ).

fof(f51,axiom,
    ( sk_c11 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).

fof(f226,plain,
    ( spl14_10
    | spl14_2 ),
    inference(avatar_split_clause,[],[f94,f124,f161]) ).

fof(f94,plain,
    ( sk_c9 = sF1
    | sk_c11 = sF9 ),
    inference(definition_folding,[],[f50,f73,f58]) ).

fof(f50,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c11 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

fof(f225,plain,
    ( spl14_6
    | spl14_12 ),
    inference(avatar_split_clause,[],[f104,f171,f142]) ).

fof(f104,plain,
    ( sk_c11 = sF11
    | sk_c11 = sF4 ),
    inference(definition_folding,[],[f6,f63,f76]) ).

fof(f6,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = multiply(sk_c7,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f224,plain,
    ( spl14_12
    | spl14_3 ),
    inference(avatar_split_clause,[],[f108,f129,f171]) ).

fof(f108,plain,
    ( sk_c7 = sF12
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f5,f76,f78]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c6)
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f223,plain,
    ( spl14_7
    | spl14_3 ),
    inference(avatar_split_clause,[],[f105,f129,f147]) ).

fof(f105,plain,
    ( sk_c7 = sF12
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f41,f78,f64]) ).

fof(f41,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c11)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

fof(f222,plain,
    ( spl14_9
    | spl14_13 ),
    inference(avatar_split_clause,[],[f117,f175,f156]) ).

fof(f117,plain,
    ( sk_c11 = sF2
    | sk_c11 = sF8 ),
    inference(definition_folding,[],[f10,f71,f60]) ).

fof(f10,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c7)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f221,plain,
    ( spl14_13
    | spl14_11 ),
    inference(avatar_split_clause,[],[f116,f166,f175]) ).

fof(f116,plain,
    ( sk_c10 = sF0
    | sk_c11 = sF2 ),
    inference(definition_folding,[],[f34,f57,f60]) ).

fof(f34,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c7)
    | sk_c10 = multiply(sk_c11,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f220,plain,
    ( spl14_1
    | spl14_8 ),
    inference(avatar_split_clause,[],[f69,f152,f120]) ).

fof(f69,plain,
    ( sk_c11 = sF7
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f21,f68,f61]) ).

fof(f21,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | sk_c11 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f218,plain,
    ( spl14_8
    | spl14_12 ),
    inference(avatar_split_clause,[],[f113,f171,f152]) ).

fof(f113,plain,
    ( sk_c11 = sF11
    | sk_c11 = sF7 ),
    inference(definition_folding,[],[f9,f68,f76]) ).

fof(f9,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f214,plain,
    ( spl14_7
    | spl14_18 ),
    inference(avatar_split_clause,[],[f82,f206,f147]) ).

fof(f82,plain,
    ( sk_c10 = sF10
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f43,f64,f74]) ).

fof(f43,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c9)
    | sk_c5 = multiply(sk_c4,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f213,plain,
    ( spl14_10
    | spl14_18 ),
    inference(avatar_split_clause,[],[f75,f206,f161]) ).

fof(f75,plain,
    ( sk_c10 = sF10
    | sk_c11 = sF9 ),
    inference(definition_folding,[],[f49,f74,f73]) ).

fof(f49,axiom,
    ( sk_c11 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c11,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

fof(f212,plain,
    ( spl14_8
    | spl14_5 ),
    inference(avatar_split_clause,[],[f96,f138,f152]) ).

fof(f96,plain,
    ( sk_c3 = sF13
    | sk_c11 = sF7 ),
    inference(definition_folding,[],[f27,f86,f68]) ).

fof(f27,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f204,plain,
    ( spl14_11
    | spl14_6 ),
    inference(avatar_split_clause,[],[f90,f142,f166]) ).

fof(f90,plain,
    ( sk_c11 = sF4
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f36,f57,f63]) ).

fof(f36,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f203,plain,
    ( spl14_8
    | spl14_4 ),
    inference(avatar_split_clause,[],[f89,f133,f152]) ).

fof(f89,plain,
    ( sk_c10 = sF6
    | sk_c11 = sF7 ),
    inference(definition_folding,[],[f33,f66,f68]) ).

fof(f33,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f202,plain,
    ( spl14_14
    | spl14_15
    | spl14_16
    | spl14_16
    | spl14_17 ),
    inference(avatar_split_clause,[],[f56,f200,f197,f197,f194,f191]) ).

fof(f56,plain,
    ! [X3,X11,X8,X7,X4] :
      ( sk_c10 != multiply(inverse(X4),sk_c11)
      | sk_c10 != multiply(sk_c11,multiply(X11,sk_c11))
      | sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
      | sk_c11 != inverse(X11)
      | sk_c11 != multiply(X8,inverse(X8))
      | sk_c11 != inverse(X7)
      | sk_c10 != multiply(X4,inverse(X4))
      | sk_c11 != multiply(inverse(X8),sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10) ),
    inference(equality_resolution,[],[f55]) ).

fof(f55,plain,
    ! [X3,X10,X11,X8,X7,X4] :
      ( sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(sk_c11,X10)
      | sk_c10 != multiply(inverse(X4),sk_c11)
      | sk_c10 != multiply(X4,inverse(X4))
      | sk_c11 != multiply(X8,inverse(X8))
      | sk_c11 != inverse(X11)
      | sk_c11 != multiply(inverse(X8),sk_c10)
      | sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
      | multiply(X11,sk_c11) != X10
      | sk_c11 != inverse(X7) ),
    inference(equality_resolution,[],[f54]) ).

fof(f54,plain,
    ! [X3,X10,X11,X8,X7,X4,X5] :
      ( sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(sk_c11,X10)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c10 != multiply(X4,X5)
      | sk_c11 != multiply(X8,inverse(X8))
      | sk_c11 != inverse(X11)
      | inverse(X4) != X5
      | sk_c11 != multiply(inverse(X8),sk_c10)
      | sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
      | multiply(X11,sk_c11) != X10
      | sk_c11 != inverse(X7) ),
    inference(equality_resolution,[],[f53]) ).

fof(f53,plain,
    ! [X3,X10,X11,X8,X6,X7,X4,X5] :
      ( sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(sk_c11,X10)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c10 != multiply(X4,X5)
      | sk_c11 != multiply(X8,inverse(X8))
      | sk_c11 != inverse(X11)
      | multiply(X7,sk_c11) != X6
      | inverse(X4) != X5
      | sk_c11 != multiply(inverse(X8),sk_c10)
      | sk_c10 != multiply(sk_c11,X6)
      | multiply(X11,sk_c11) != X10
      | sk_c11 != inverse(X7) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c11 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(sk_c11,X10)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c10 != multiply(X4,X5)
      | sk_c11 != multiply(X8,X9)
      | inverse(X8) != X9
      | sk_c11 != inverse(X11)
      | multiply(X7,sk_c11) != X6
      | inverse(X4) != X5
      | sk_c11 != multiply(X9,sk_c10)
      | sk_c10 != multiply(sk_c11,X6)
      | multiply(X11,sk_c11) != X10
      | sk_c11 != inverse(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).

fof(f189,plain,
    ( spl14_2
    | spl14_11 ),
    inference(avatar_split_clause,[],[f59,f166,f124]) ).

fof(f59,plain,
    ( sk_c10 = sF0
    | sk_c9 = sF1 ),
    inference(definition_folding,[],[f38,f58,f57]) ).

fof(f38,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c5)
    | sk_c9 = multiply(sk_c8,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f187,plain,
    ( spl14_10
    | spl14_13 ),
    inference(avatar_split_clause,[],[f88,f175,f161]) ).

fof(f88,plain,
    ( sk_c11 = sF2
    | sk_c11 = sF9 ),
    inference(definition_folding,[],[f46,f60,f73]) ).

fof(f46,axiom,
    ( sk_c11 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

fof(f185,plain,
    ( spl14_7
    | spl14_2 ),
    inference(avatar_split_clause,[],[f103,f124,f147]) ).

fof(f103,plain,
    ( sk_c9 = sF1
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f44,f64,f58]) ).

fof(f44,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c11)
    | sk_c5 = multiply(sk_c4,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

fof(f184,plain,
    ( spl14_8
    | spl14_7 ),
    inference(avatar_split_clause,[],[f97,f147,f152]) ).

fof(f97,plain,
    ( sk_c5 = sF5
    | sk_c11 = sF7 ),
    inference(definition_folding,[],[f45,f68,f64]) ).

fof(f45,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c11)
    | sk_c11 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

fof(f183,plain,
    ( spl14_6
    | spl14_9 ),
    inference(avatar_split_clause,[],[f72,f156,f142]) ).

fof(f72,plain,
    ( sk_c11 = sF8
    | sk_c11 = sF4 ),
    inference(definition_folding,[],[f12,f63,f71]) ).

fof(f12,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c11 = multiply(sk_c7,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f180,plain,
    ( spl14_10
    | spl14_3 ),
    inference(avatar_split_clause,[],[f112,f129,f161]) ).

fof(f112,plain,
    ( sk_c7 = sF12
    | sk_c11 = sF9 ),
    inference(definition_folding,[],[f47,f73,f78]) ).

fof(f47,axiom,
    ( sk_c7 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

fof(f179,plain,
    ( spl14_11
    | spl14_3 ),
    inference(avatar_split_clause,[],[f102,f129,f166]) ).

fof(f102,plain,
    ( sk_c7 = sF12
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f35,f78,f57]) ).

fof(f35,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c5)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f178,plain,
    ( spl14_12
    | spl14_13 ),
    inference(avatar_split_clause,[],[f77,f175,f171]) ).

fof(f77,plain,
    ( sk_c11 = sF2
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f4,f76,f60]) ).

fof(f4,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c7)
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f169,plain,
    ( spl14_11
    | spl14_8 ),
    inference(avatar_split_clause,[],[f70,f152,f166]) ).

fof(f70,plain,
    ( sk_c11 = sF7
    | sk_c10 = sF0 ),
    inference(definition_folding,[],[f39,f68,f57]) ).

fof(f39,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c5)
    | sk_c11 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f164,plain,
    ( spl14_10
    | spl14_6 ),
    inference(avatar_split_clause,[],[f110,f142,f161]) ).

fof(f110,plain,
    ( sk_c11 = sF4
    | sk_c11 = sF9 ),
    inference(definition_folding,[],[f48,f63,f73]) ).

fof(f48,axiom,
    ( sk_c11 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c7,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

fof(f159,plain,
    ( spl14_8
    | spl14_9 ),
    inference(avatar_split_clause,[],[f101,f156,f152]) ).

fof(f101,plain,
    ( sk_c11 = sF8
    | sk_c11 = sF7 ),
    inference(definition_folding,[],[f15,f71,f68]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f150,plain,
    ( spl14_6
    | spl14_7 ),
    inference(avatar_split_clause,[],[f65,f147,f142]) ).

fof(f65,plain,
    ( sk_c5 = sF5
    | sk_c11 = sF4 ),
    inference(definition_folding,[],[f42,f64,f63]) ).

fof(f42,axiom,
    ( sk_c11 = multiply(sk_c7,sk_c10)
    | sk_c5 = multiply(sk_c4,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP217-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 22:33:43 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (26522)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)
% 0.19/0.48  % (26522)Instruction limit reached!
% 0.19/0.48  % (26522)------------------------------
% 0.19/0.48  % (26522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (26529)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)
% 0.19/0.49  % (26522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (26522)Termination reason: Unknown
% 0.19/0.49  % (26522)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (26522)Memory used [KB]: 5884
% 0.19/0.49  % (26522)Time elapsed: 0.004 s
% 0.19/0.49  % (26522)Instructions burned: 3 (million)
% 0.19/0.49  % (26522)------------------------------
% 0.19/0.49  % (26522)------------------------------
% 0.19/0.49  % (26529)Instruction limit reached!
% 0.19/0.49  % (26529)------------------------------
% 0.19/0.49  % (26529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (26529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (26529)Termination reason: Unknown
% 0.19/0.49  % (26529)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (26529)Memory used [KB]: 1407
% 0.19/0.49  % (26529)Time elapsed: 0.006 s
% 0.19/0.49  % (26529)Instructions burned: 7 (million)
% 0.19/0.49  % (26529)------------------------------
% 0.19/0.49  % (26529)------------------------------
% 0.19/0.50  % (26537)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)
% 0.19/0.51  % (26514)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (26516)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)
% 0.19/0.51  % (26513)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  % (26511)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)
% 0.19/0.52  % (26511)Instruction limit reached!
% 0.19/0.52  % (26511)------------------------------
% 0.19/0.52  % (26511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (26511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (26511)Termination reason: Unknown
% 0.19/0.52  % (26511)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (26511)Memory used [KB]: 5884
% 0.19/0.52  % (26511)Time elapsed: 0.003 s
% 0.19/0.52  % (26511)Instructions burned: 5 (million)
% 0.19/0.52  % (26511)------------------------------
% 0.19/0.52  % (26511)------------------------------
% 0.19/0.52  % (26521)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)
% 0.19/0.52  % (26531)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)
% 0.19/0.52  % (26526)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (26536)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  % (26534)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)
% 0.19/0.52  % (26535)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)
% 0.19/0.52  % (26512)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)
% 0.19/0.52  % (26510)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)
% 0.19/0.53  % (26523)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)
% 0.19/0.53  % (26528)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  % (26520)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  % (26530)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)
% 0.19/0.53  % (26525)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)
% 0.19/0.53  % (26525)Instruction limit reached!
% 0.19/0.53  % (26525)------------------------------
% 0.19/0.53  % (26525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26525)Termination reason: Unknown
% 0.19/0.53  % (26525)Termination phase: Equality proxy
% 0.19/0.53  
% 0.19/0.53  % (26525)Memory used [KB]: 1279
% 0.19/0.53  % (26525)Time elapsed: 0.002 s
% 0.19/0.53  % (26525)Instructions burned: 2 (million)
% 0.19/0.53  % (26525)------------------------------
% 0.19/0.53  % (26525)------------------------------
% 0.19/0.53  % (26538)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)
% 0.19/0.54  % (26517)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)
% 0.19/0.54  % (26517)Instruction limit reached!
% 0.19/0.54  % (26517)------------------------------
% 0.19/0.54  % (26517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26517)Termination reason: Unknown
% 0.19/0.54  % (26517)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26517)Memory used [KB]: 5884
% 0.19/0.54  % (26517)Time elapsed: 0.003 s
% 0.19/0.54  % (26517)Instructions burned: 4 (million)
% 0.19/0.54  % (26517)------------------------------
% 0.19/0.54  % (26517)------------------------------
% 0.19/0.54  % (26521)Instruction limit reached!
% 0.19/0.54  % (26521)------------------------------
% 0.19/0.54  % (26521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26521)Termination reason: Unknown
% 0.19/0.54  % (26521)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26521)Memory used [KB]: 6012
% 0.19/0.54  % (26521)Time elapsed: 0.151 s
% 0.19/0.54  % (26521)Instructions burned: 5 (million)
% 0.19/0.54  % (26521)------------------------------
% 0.19/0.54  % (26521)------------------------------
% 0.19/0.54  % (26527)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)
% 0.19/0.54  % (26515)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)
% 0.19/0.54  % (26518)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)
% 0.19/0.54  % (26519)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)
% 0.19/0.54  % (26537)Instruction limit reached!
% 0.19/0.54  % (26537)------------------------------
% 0.19/0.54  % (26537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26537)Termination reason: Unknown
% 0.19/0.54  % (26537)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26537)Memory used [KB]: 6396
% 0.19/0.54  % (26537)Time elapsed: 0.135 s
% 0.19/0.54  % (26537)Instructions burned: 22 (million)
% 0.19/0.54  % (26537)------------------------------
% 0.19/0.54  % (26537)------------------------------
% 0.19/0.54  % (26528)Instruction limit reached!
% 0.19/0.54  % (26528)------------------------------
% 0.19/0.54  % (26528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26528)Termination reason: Unknown
% 0.19/0.54  % (26528)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26528)Memory used [KB]: 6012
% 0.19/0.54  % (26528)Time elapsed: 0.140 s
% 0.19/0.54  % (26528)Instructions burned: 8 (million)
% 0.19/0.54  % (26528)------------------------------
% 0.19/0.54  % (26528)------------------------------
% 0.19/0.54  % (26519)Instruction limit reached!
% 0.19/0.54  % (26519)------------------------------
% 0.19/0.54  % (26519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.54  % (26514)Instruction limit reached!
% 1.59/0.54  % (26514)------------------------------
% 1.59/0.54  % (26514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.54  % (26514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.54  % (26514)Termination reason: Unknown
% 1.59/0.54  % (26514)Termination phase: Saturation
% 1.59/0.54  
% 1.59/0.54  % (26514)Memory used [KB]: 6140
% 1.59/0.54  % (26514)Time elapsed: 0.157 s
% 1.59/0.54  % (26514)Instructions burned: 25 (million)
% 1.59/0.54  % (26514)------------------------------
% 1.59/0.54  % (26514)------------------------------
% 1.59/0.54  % (26526)Instruction limit reached!
% 1.59/0.54  % (26526)------------------------------
% 1.59/0.54  % (26526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.54  % (26509)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.59/0.54  % (26526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.54  % (26526)Termination reason: Unknown
% 1.59/0.54  % (26526)Termination phase: Saturation
% 1.59/0.54  
% 1.59/0.54  % (26526)Memory used [KB]: 6012
% 1.59/0.54  % (26526)Time elapsed: 0.139 s
% 1.59/0.54  % (26526)Instructions burned: 9 (million)
% 1.59/0.54  % (26526)------------------------------
% 1.59/0.54  % (26526)------------------------------
% 1.59/0.55  % (26524)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)
% 1.59/0.55  % (26533)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)
% 1.59/0.55  % (26532)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)
% 1.59/0.55  % (26532)Refutation not found, incomplete strategy% (26532)------------------------------
% 1.59/0.55  % (26532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (26524)Instruction limit reached!
% 1.59/0.56  % (26524)------------------------------
% 1.59/0.56  % (26524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (26519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (26519)Termination reason: Unknown
% 1.59/0.56  % (26519)Termination phase: Saturation
% 1.59/0.56  
% 1.59/0.56  % (26519)Memory used [KB]: 5884
% 1.59/0.56  % (26519)Time elapsed: 0.159 s
% 1.59/0.56  % (26519)Instructions burned: 6 (million)
% 1.59/0.56  % (26519)------------------------------
% 1.59/0.56  % (26519)------------------------------
% 1.71/0.57  % (26532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57  % (26532)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.57  
% 1.71/0.57  % (26532)Memory used [KB]: 5884
% 1.71/0.57  % (26532)Time elapsed: 0.165 s
% 1.71/0.57  % (26532)Instructions burned: 3 (million)
% 1.71/0.57  % (26532)------------------------------
% 1.71/0.57  % (26532)------------------------------
% 1.71/0.57  % (26524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57  % (26524)Termination reason: Unknown
% 1.71/0.57  % (26524)Termination phase: Finite model building preprocessing
% 1.71/0.57  
% 1.71/0.57  % (26524)Memory used [KB]: 1407
% 1.71/0.57  % (26524)Time elapsed: 0.004 s
% 1.71/0.57  % (26524)Instructions burned: 6 (million)
% 1.71/0.57  % (26524)------------------------------
% 1.71/0.57  % (26524)------------------------------
% 1.71/0.57  % (26512)Instruction limit reached!
% 1.71/0.57  % (26512)------------------------------
% 1.71/0.57  % (26512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57  % (26512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57  % (26512)Termination reason: Unknown
% 1.71/0.57  % (26512)Termination phase: Saturation
% 1.71/0.57  
% 1.71/0.57  % (26512)Memory used [KB]: 6396
% 1.71/0.57  % (26512)Time elapsed: 0.175 s
% 1.71/0.57  % (26512)Instructions burned: 44 (million)
% 1.71/0.57  % (26512)------------------------------
% 1.71/0.57  % (26512)------------------------------
% 1.71/0.58  % (26523)Instruction limit reached!
% 1.71/0.58  % (26523)------------------------------
% 1.71/0.58  % (26523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (26523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58  % (26523)Termination reason: Unknown
% 1.71/0.58  % (26523)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (26523)Memory used [KB]: 1663
% 1.71/0.58  % (26523)Time elapsed: 0.140 s
% 1.71/0.58  % (26523)Instructions burned: 29 (million)
% 1.71/0.58  % (26523)------------------------------
% 1.71/0.58  % (26523)------------------------------
% 1.71/0.58  % (26520)Instruction limit reached!
% 1.71/0.58  % (26520)------------------------------
% 1.71/0.58  % (26520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (26520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58  % (26520)Termination reason: Unknown
% 1.71/0.58  % (26520)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (26520)Memory used [KB]: 6140
% 1.71/0.58  % (26520)Time elapsed: 0.200 s
% 1.71/0.58  % (26520)Instructions burned: 23 (million)
% 1.71/0.58  % (26520)------------------------------
% 1.71/0.58  % (26520)------------------------------
% 1.71/0.58  % (26513)Instruction limit reached!
% 1.71/0.58  % (26513)------------------------------
% 1.71/0.58  % (26513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (26513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58  % (26513)Termination reason: Unknown
% 1.71/0.58  % (26513)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (26513)Memory used [KB]: 6524
% 1.71/0.58  % (26513)Time elapsed: 0.184 s
% 1.71/0.58  % (26513)Instructions burned: 34 (million)
% 1.71/0.58  % (26513)------------------------------
% 1.71/0.58  % (26513)------------------------------
% 1.71/0.58  % (26527)Instruction limit reached!
% 1.71/0.58  % (26527)------------------------------
% 1.71/0.58  % (26527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (26527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58  % (26527)Termination reason: Unknown
% 1.71/0.58  % (26527)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (26527)Memory used [KB]: 10746
% 1.71/0.58  % (26527)Time elapsed: 0.191 s
% 1.71/0.58  % (26527)Instructions burned: 28 (million)
% 1.71/0.58  % (26527)------------------------------
% 1.71/0.58  % (26527)------------------------------
% 1.71/0.59  % (26516)Instruction limit reached!
% 1.71/0.59  % (26516)------------------------------
% 1.71/0.59  % (26516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (26516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (26509)First to succeed.
% 1.71/0.60  % (26509)Refutation found. Thanks to Tanya!
% 1.71/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.71/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.60  % (26509)------------------------------
% 1.71/0.60  % (26509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (26509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60  % (26509)Termination reason: Refutation
% 1.71/0.60  
% 1.71/0.60  % (26509)Memory used [KB]: 6396
% 1.71/0.60  % (26509)Time elapsed: 0.175 s
% 1.71/0.60  % (26509)Instructions burned: 35 (million)
% 1.71/0.60  % (26509)------------------------------
% 1.71/0.60  % (26509)------------------------------
% 1.71/0.60  % (26508)Success in time 0.245 s
%------------------------------------------------------------------------------