TSTP Solution File: GRP336-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP336-1 : 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 : n012.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 16:15:25 EDT 2022

% Result   : Unsatisfiable 2.22s 0.66s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  168 (   6 unt;   0 def)
%            Number of atoms       :  519 ( 205 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  671 ( 320   ~; 334   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f667,plain,
    $false,
    inference(avatar_sat_refutation,[],[f63,f77,f86,f96,f122,f123,f137,f138,f141,f143,f147,f151,f153,f154,f155,f157,f158,f159,f160,f161,f162,f163,f164,f170,f252,f308,f322,f324,f336,f366,f377,f388,f464,f470,f491,f622,f666]) ).

fof(f666,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f665]) ).

fof(f665,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f664]) ).

fof(f664,plain,
    ( sk_c10 != sk_c10
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(superposition,[],[f655,f607]) ).

fof(f607,plain,
    ( sk_c10 = sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f575,f187]) ).

fof(f187,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f176,f1]) ).

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

fof(f176,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

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

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

fof(f575,plain,
    ( sk_c8 = multiply(inverse(sk_c9),multiply(sk_c9,sk_c10))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(superposition,[],[f187,f511]) ).

fof(f511,plain,
    ( multiply(sk_c9,sk_c10) = multiply(sk_c9,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f496,f495]) ).

fof(f495,plain,
    ( multiply(sk_c9,sk_c10) = multiply(sk_c4,sk_c9)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(superposition,[],[f340,f375]) ).

fof(f375,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl0_24
  <=> sk_c9 = multiply(sk_c10,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f340,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f58]) ).

fof(f58,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_1
  <=> sk_c9 = multiply(sk_c4,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f496,plain,
    ( multiply(sk_c4,sk_c9) = multiply(sk_c9,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f340,f76]) ).

fof(f76,plain,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_5
  <=> sk_c9 = multiply(sk_c10,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f655,plain,
    ( sk_c10 != sk_c8
    | spl0_9
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f628,f1]) ).

fof(f628,plain,
    ( sk_c8 != multiply(identity,sk_c10)
    | spl0_9
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f94,f297]) ).

fof(f297,plain,
    ( identity = sk_c9
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl0_19
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f94,plain,
    ( multiply(sk_c9,sk_c10) != sk_c8
    | spl0_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_9
  <=> multiply(sk_c9,sk_c10) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f622,plain,
    ( spl0_19
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f621,f119,f56,f296]) ).

fof(f119,plain,
    ( spl0_14
  <=> sk_c10 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f621,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f574,f2]) ).

fof(f574,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f187,f501]) ).

fof(f501,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f494,f58]) ).

fof(f494,plain,
    ( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f340,f396]) ).

fof(f396,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f351,f58]) ).

fof(f351,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f350,f1]) ).

fof(f350,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f339]) ).

fof(f339,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl0_14 ),
    inference(superposition,[],[f2,f121]) ).

fof(f121,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f491,plain,
    ( ~ spl0_8
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f484,f129,f83,f88]) ).

fof(f88,plain,
    ( spl0_8
  <=> sk_c10 = multiply(sk_c5,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f83,plain,
    ( spl0_7
  <=> sk_c10 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f129,plain,
    ( spl0_16
  <=> ! [X7] :
        ( sk_c10 != inverse(X7)
        | sk_c10 != multiply(X7,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f484,plain,
    ( sk_c10 != multiply(sk_c5,sk_c9)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f482]) ).

fof(f482,plain,
    ( sk_c10 != multiply(sk_c5,sk_c9)
    | sk_c10 != sk_c10
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(superposition,[],[f130,f85]) ).

fof(f85,plain,
    ( sk_c10 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f130,plain,
    ( ! [X7] :
        ( sk_c10 != inverse(X7)
        | sk_c10 != multiply(X7,sk_c9) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f470,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f469,f135,f119,f56]) ).

fof(f135,plain,
    ( spl0_18
  <=> ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f469,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f465]) ).

fof(f465,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | sk_c10 != sk_c10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f136,f121]) ).

fof(f136,plain,
    ( ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f464,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f463,f132,f119,f74,f56]) ).

fof(f132,plain,
    ( spl0_17
  <=> ! [X8] :
        ( sk_c9 != multiply(inverse(X8),sk_c8)
        | sk_c9 != multiply(X8,inverse(X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f463,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f462]) ).

fof(f462,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | sk_c9 != sk_c9
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f447,f76]) ).

fof(f447,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | sk_c9 != multiply(sk_c10,sk_c8)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f133,f121]) ).

fof(f133,plain,
    ( ! [X8] :
        ( sk_c9 != multiply(inverse(X8),sk_c8)
        | sk_c9 != multiply(X8,inverse(X8)) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f388,plain,
    ( spl0_24
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f385,f88,f83,f374]) ).

fof(f385,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f347,f90]) ).

fof(f90,plain,
    ( sk_c10 = multiply(sk_c5,sk_c9)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f347,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f346,f1]) ).

fof(f346,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f337]) ).

fof(f337,plain,
    ( identity = multiply(sk_c10,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f85]) ).

fof(f377,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f359,f126,f119,f374,f56]) ).

fof(f126,plain,
    ( spl0_15
  <=> ! [X4] :
        ( sk_c9 != multiply(inverse(X4),sk_c10)
        | sk_c9 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f359,plain,
    ( sk_c9 != multiply(sk_c10,sk_c10)
    | sk_c9 != multiply(sk_c4,sk_c10)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f127,f121]) ).

fof(f127,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(inverse(X4),sk_c10)
        | sk_c9 != multiply(X4,inverse(X4)) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f366,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f365,f126,f119,f79,f70,f56]) ).

fof(f70,plain,
    ( spl0_4
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f79,plain,
    ( spl0_6
  <=> sk_c10 = multiply(sk_c1,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f365,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f364]) ).

fof(f364,plain,
    ( sk_c9 != multiply(sk_c4,sk_c10)
    | sk_c9 != sk_c9
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f359,f192]) ).

fof(f192,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f184,f81]) ).

fof(f81,plain,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f184,plain,
    ( ! [X9] : multiply(sk_c10,multiply(sk_c1,X9)) = X9
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f178,f1]) ).

fof(f178,plain,
    ( ! [X9] : multiply(sk_c10,multiply(sk_c1,X9)) = multiply(identity,X9)
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f172]) ).

fof(f172,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f72]) ).

fof(f72,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f336,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f335]) ).

fof(f335,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f333]) ).

fof(f333,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(superposition,[],[f327,f244]) ).

fof(f244,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f211,f239]) ).

fof(f239,plain,
    ( sk_c10 = sk_c8
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f238,f81]) ).

fof(f238,plain,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f236,f214]) ).

fof(f214,plain,
    ( sk_c8 = multiply(sk_c10,sk_c9)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f184,f211]) ).

fof(f236,plain,
    ( multiply(sk_c1,sk_c9) = multiply(sk_c10,sk_c9)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f179,f226]) ).

fof(f226,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f221,f62]) ).

fof(f62,plain,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_2
  <=> sk_c9 = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f221,plain,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f180,f188]) ).

fof(f188,plain,
    ( sk_c3 = multiply(sk_c3,sk_c9)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f183,f62]) ).

fof(f183,plain,
    ( ! [X13] : multiply(sk_c3,multiply(sk_c2,X13)) = X13
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f182,f1]) ).

fof(f182,plain,
    ( ! [X13] : multiply(sk_c3,multiply(sk_c2,X13)) = multiply(identity,X13)
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f173]) ).

fof(f173,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_13 ),
    inference(superposition,[],[f2,f116]) ).

fof(f116,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_13
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f180,plain,
    ( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c2,multiply(sk_c3,X11))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f62]) ).

fof(f179,plain,
    ( ! [X10] : multiply(sk_c1,multiply(sk_c9,X10)) = multiply(sk_c10,X10)
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f81]) ).

fof(f211,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f207,f192]) ).

fof(f207,plain,
    ( multiply(sk_c10,sk_c10) = multiply(sk_c1,sk_c8)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f179,f95]) ).

fof(f95,plain,
    ( multiply(sk_c9,sk_c10) = sk_c8
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f327,plain,
    ( sk_c9 != multiply(sk_c1,sk_c10)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f325]) ).

fof(f325,plain,
    ( sk_c10 != sk_c10
    | sk_c9 != multiply(sk_c1,sk_c10)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(superposition,[],[f136,f72]) ).

fof(f324,plain,
    ( spl0_15
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f323,f132,f114,f93,f79,f70,f60,f126]) ).

fof(f323,plain,
    ( ! [X8] :
        ( sk_c9 != multiply(inverse(X8),sk_c10)
        | sk_c9 != multiply(X8,inverse(X8)) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f133,f239]) ).

fof(f322,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f312,f129,f70,f79]) ).

fof(f312,plain,
    ( sk_c10 != multiply(sk_c1,sk_c9)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f310]) ).

fof(f310,plain,
    ( sk_c10 != multiply(sk_c1,sk_c9)
    | sk_c10 != sk_c10
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f130,f72]) ).

fof(f308,plain,
    ( ~ spl0_12
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f307,f126,f114,f60,f108]) ).

fof(f108,plain,
    ( spl0_12
  <=> sk_c9 = multiply(sk_c3,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f307,plain,
    ( sk_c9 != multiply(sk_c3,sk_c10)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f306]) ).

fof(f306,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c3,sk_c10)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f293,f62]) ).

fof(f293,plain,
    ( sk_c9 != multiply(sk_c2,sk_c3)
    | sk_c9 != multiply(sk_c3,sk_c10)
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f127,f116]) ).

fof(f252,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f251,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f250]) ).

fof(f250,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f240,f192]) ).

fof(f240,plain,
    ( sk_c9 != multiply(sk_c10,sk_c10)
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f75,f239]) ).

fof(f75,plain,
    ( sk_c9 != multiply(sk_c10,sk_c8)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f170,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f24,f79,f88]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | sk_c10 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f164,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f22,f79,f74]) ).

fof(f22,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f163,plain,
    ( spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f44,f56,f108]) ).

fof(f44,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c3,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f162,plain,
    ( spl0_14
    | spl0_13 ),
    inference(avatar_split_clause,[],[f37,f114,f119]) ).

fof(f37,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f161,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f8,f93,f88]) ).

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

fof(f160,plain,
    ( spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f21,f79,f119]) ).

fof(f21,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f159,plain,
    ( spl0_5
    | spl0_13 ),
    inference(avatar_split_clause,[],[f38,f114,f74]) ).

fof(f38,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f158,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f36,f114,f56]) ).

fof(f36,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f157,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f70,f88]) ).

fof(f16,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f155,plain,
    ( spl0_14
    | spl0_2 ),
    inference(avatar_split_clause,[],[f29,f60,f119]) ).

fof(f29,axiom,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f154,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f7,f83,f93]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c5)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f153,plain,
    ( spl0_14
    | spl0_9 ),
    inference(avatar_split_clause,[],[f5,f93,f119]) ).

fof(f5,axiom,
    ( multiply(sk_c9,sk_c10) = sk_c8
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f151,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f30,f60,f74]) ).

fof(f30,axiom,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f147,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f15,f83,f70]) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f143,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f70,f56]) ).

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f141,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f6,f93,f74]) ).

fof(f6,axiom,
    ( multiply(sk_c9,sk_c10) = sk_c8
    | sk_c9 = multiply(sk_c10,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f138,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f79,f56]) ).

fof(f20,axiom,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f137,plain,
    ( spl0_15
    | ~ spl0_5
    | spl0_16
    | ~ spl0_9
    | spl0_17
    | spl0_16
    | spl0_18 ),
    inference(avatar_split_clause,[],[f54,f135,f129,f132,f93,f129,f74,f126]) ).

fof(f54,plain,
    ! [X3,X8,X6,X7,X4] :
      ( sk_c10 != inverse(X6)
      | sk_c10 != inverse(X3)
      | sk_c9 != multiply(inverse(X8),sk_c8)
      | sk_c9 != multiply(X8,inverse(X8))
      | multiply(sk_c9,sk_c10) != sk_c8
      | sk_c10 != inverse(X7)
      | sk_c10 != multiply(X7,sk_c9)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c9 != multiply(inverse(X4),sk_c10)
      | sk_c9 != multiply(X4,inverse(X4))
      | sk_c9 != multiply(X6,sk_c10) ),
    inference(equality_resolution,[],[f53]) ).

fof(f53,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != multiply(X8,inverse(X8))
      | sk_c10 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X7)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | multiply(sk_c9,sk_c10) != sk_c8
      | sk_c9 != multiply(X5,sk_c10)
      | sk_c9 != multiply(X4,X5)
      | sk_c9 != multiply(inverse(X8),sk_c8)
      | sk_c10 != multiply(X7,sk_c9)
      | inverse(X4) != X5
      | sk_c9 != multiply(X6,sk_c10) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(X8,X9)
      | sk_c10 != inverse(X3)
      | inverse(X8) != X9
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X7)
      | sk_c9 != multiply(sk_c10,sk_c8)
      | multiply(sk_c9,sk_c10) != sk_c8
      | sk_c9 != multiply(X5,sk_c10)
      | sk_c9 != multiply(X4,X5)
      | sk_c9 != multiply(X9,sk_c8)
      | sk_c10 != multiply(X7,sk_c9)
      | inverse(X4) != X5
      | sk_c9 != multiply(X6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f123,plain,
    ( spl0_14
    | spl0_4 ),
    inference(avatar_split_clause,[],[f13,f70,f119]) ).

fof(f13,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f122,plain,
    ( spl0_14
    | spl0_12 ),
    inference(avatar_split_clause,[],[f45,f108,f119]) ).

fof(f45,axiom,
    ( sk_c9 = multiply(sk_c3,sk_c10)
    | sk_c10 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f96,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f4,f56,f93]) ).

fof(f4,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | multiply(sk_c9,sk_c10) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f86,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f83,f79]) ).

fof(f23,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f77,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f14,f74,f70]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f63,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f28,f60,f56]) ).

fof(f28,axiom,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP336-1 : 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
% 0.13/0.34  % Computer : n012.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 22:23:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.57/0.55  % (21261)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)
% 1.57/0.55  % (21246)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.57/0.56  % (21262)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)
% 1.57/0.56  % (21261)Instruction limit reached!
% 1.57/0.56  % (21261)------------------------------
% 1.57/0.56  % (21261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (21261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (21253)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)
% 1.57/0.56  % (21261)Termination reason: Unknown
% 1.57/0.56  % (21261)Termination phase: Finite model building preprocessing
% 1.57/0.56  
% 1.57/0.56  % (21261)Memory used [KB]: 1407
% 1.57/0.56  % (21261)Time elapsed: 0.009 s
% 1.57/0.56  % (21261)Instructions burned: 6 (million)
% 1.57/0.56  % (21261)------------------------------
% 1.57/0.56  % (21261)------------------------------
% 1.57/0.56  % (21271)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)
% 1.57/0.57  % (21262)Instruction limit reached!
% 1.57/0.57  % (21262)------------------------------
% 1.57/0.57  % (21262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (21254)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)
% 1.57/0.57  % (21262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (21262)Termination reason: Unknown
% 1.57/0.57  % (21262)Termination phase: Saturation
% 1.57/0.57  
% 1.57/0.57  % (21262)Memory used [KB]: 1279
% 1.57/0.57  % (21262)Time elapsed: 0.004 s
% 1.57/0.57  % (21262)Instructions burned: 3 (million)
% 1.57/0.57  % (21262)------------------------------
% 1.57/0.57  % (21262)------------------------------
% 1.57/0.57  % (21253)Refutation not found, incomplete strategy% (21253)------------------------------
% 1.57/0.57  % (21253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (21253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (21253)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.57  
% 1.57/0.57  % (21253)Memory used [KB]: 6012
% 1.57/0.57  % (21253)Time elapsed: 0.091 s
% 1.57/0.57  % (21253)Instructions burned: 6 (million)
% 1.57/0.57  % (21253)------------------------------
% 1.57/0.57  % (21253)------------------------------
% 1.57/0.57  % (21252)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)
% 1.57/0.57  % (21249)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)
% 1.57/0.57  % (21254)Instruction limit reached!
% 1.57/0.57  % (21254)------------------------------
% 1.57/0.57  % (21254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (21254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (21254)Termination reason: Unknown
% 1.57/0.57  % (21254)Termination phase: Saturation
% 1.57/0.57  
% 1.57/0.57  % (21254)Memory used [KB]: 5884
% 1.57/0.57  % (21254)Time elapsed: 0.005 s
% 1.57/0.57  % (21254)Instructions burned: 4 (million)
% 1.57/0.57  % (21254)------------------------------
% 1.57/0.57  % (21254)------------------------------
% 1.57/0.57  % (21249)Refutation not found, incomplete strategy% (21249)------------------------------
% 1.57/0.57  % (21249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (21249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (21249)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.57  
% 1.57/0.57  % (21249)Memory used [KB]: 5884
% 1.57/0.57  % (21249)Time elapsed: 0.163 s
% 1.57/0.57  % (21249)Instructions burned: 5 (million)
% 1.57/0.57  % (21249)------------------------------
% 1.57/0.57  % (21249)------------------------------
% 1.57/0.58  % (21250)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)
% 1.57/0.58  % (21248)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)
% 1.83/0.58  % (21265)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)
% 1.83/0.58  % (21269)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)
% 1.83/0.58  % (21269)Refutation not found, incomplete strategy% (21269)------------------------------
% 1.83/0.58  % (21269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58  % (21269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.58  % (21269)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.58  
% 1.83/0.58  % (21269)Memory used [KB]: 5884
% 1.83/0.58  % (21269)Time elapsed: 0.152 s
% 1.83/0.58  % (21269)Instructions burned: 4 (million)
% 1.83/0.58  % (21269)------------------------------
% 1.83/0.58  % (21269)------------------------------
% 1.83/0.58  % (21251)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.83/0.59  % (21248)Instruction limit reached!
% 1.83/0.59  % (21248)------------------------------
% 1.83/0.59  % (21248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59  % (21248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59  % (21248)Termination reason: Unknown
% 1.83/0.59  % (21248)Termination phase: Saturation
% 1.83/0.59  
% 1.83/0.59  % (21248)Memory used [KB]: 5884
% 1.83/0.59  % (21248)Time elapsed: 0.005 s
% 1.83/0.59  % (21248)Instructions burned: 4 (million)
% 1.83/0.59  % (21248)------------------------------
% 1.83/0.59  % (21248)------------------------------
% 1.83/0.59  % (21274)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)
% 1.83/0.59  % (21264)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)
% 1.83/0.59  % (21247)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)
% 1.83/0.60  % (21272)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)
% 1.83/0.60  % (21265)Instruction limit reached!
% 1.83/0.60  % (21265)------------------------------
% 1.83/0.60  % (21265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (21257)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)
% 1.83/0.60  % (21272)Refutation not found, incomplete strategy% (21272)------------------------------
% 1.83/0.60  % (21272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60  % (21272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60  % (21272)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.60  
% 1.83/0.60  % (21272)Memory used [KB]: 6012
% 1.83/0.60  % (21272)Time elapsed: 0.180 s
% 1.83/0.60  % (21272)Instructions burned: 6 (million)
% 1.83/0.60  % (21272)------------------------------
% 1.83/0.60  % (21272)------------------------------
% 1.83/0.60  % (21270)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)
% 1.83/0.61  % (21275)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)
% 1.83/0.61  % (21260)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)
% 1.83/0.61  % (21265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (21265)Termination reason: Unknown
% 1.83/0.61  % (21265)Termination phase: Saturation
% 1.83/0.61  
% 1.83/0.61  % (21265)Memory used [KB]: 6012
% 1.83/0.61  % (21265)Time elapsed: 0.185 s
% 1.83/0.61  % (21265)Instructions burned: 7 (million)
% 1.83/0.61  % (21265)------------------------------
% 1.83/0.61  % (21265)------------------------------
% 1.83/0.61  % (21271)Refutation not found, incomplete strategy% (21271)------------------------------
% 1.83/0.61  % (21271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (21263)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.83/0.61  % (21271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (21271)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.61  
% 1.83/0.61  % (21271)Memory used [KB]: 6268
% 1.83/0.61  % (21271)Time elapsed: 0.143 s
% 1.83/0.61  % (21271)Instructions burned: 25 (million)
% 1.83/0.61  % (21271)------------------------------
% 1.83/0.61  % (21271)------------------------------
% 1.83/0.61  % (21266)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)
% 1.83/0.62  % (21268)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)
% 1.83/0.62  % (21274)Instruction limit reached!
% 1.83/0.62  % (21274)------------------------------
% 1.83/0.62  % (21274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (21266)Instruction limit reached!
% 1.83/0.62  % (21266)------------------------------
% 1.83/0.62  % (21266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (21266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62  % (21266)Termination reason: Unknown
% 1.83/0.62  % (21266)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (21266)Memory used [KB]: 1407
% 1.83/0.62  % (21266)Time elapsed: 0.005 s
% 1.83/0.62  % (21266)Instructions burned: 6 (million)
% 1.83/0.62  % (21266)------------------------------
% 1.83/0.62  % (21266)------------------------------
% 1.83/0.62  % (21255)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)
% 1.83/0.62  % (21267)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)
% 1.83/0.62  % (21256)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)
% 1.83/0.62  % (21259)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)
% 1.83/0.62  % (21259)Instruction limit reached!
% 1.83/0.62  % (21259)------------------------------
% 1.83/0.62  % (21259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (21257)Instruction limit reached!
% 1.83/0.62  % (21257)------------------------------
% 1.83/0.62  % (21257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62  % (21256)Instruction limit reached!
% 1.83/0.62  % (21256)------------------------------
% 1.83/0.62  % (21256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (21267)Refutation not found, incomplete strategy% (21267)------------------------------
% 1.83/0.63  % (21267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (21259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (21259)Termination reason: Unknown
% 1.83/0.63  % (21259)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (21259)Memory used [KB]: 5884
% 1.83/0.63  % (21259)Time elapsed: 0.004 s
% 1.83/0.63  % (21259)Instructions burned: 3 (million)
% 1.83/0.63  % (21259)------------------------------
% 1.83/0.63  % (21259)------------------------------
% 1.83/0.63  % (21273)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)
% 1.83/0.63  % (21258)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)
% 1.83/0.63  % (21274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (21274)Termination reason: Unknown
% 1.83/0.63  % (21274)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (21274)Memory used [KB]: 6396
% 1.83/0.63  % (21274)Time elapsed: 0.201 s
% 1.83/0.63  % (21274)Instructions burned: 20 (million)
% 1.83/0.63  % (21274)------------------------------
% 1.83/0.63  % (21274)------------------------------
% 1.83/0.63  % (21256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (21256)Termination reason: Unknown
% 1.83/0.63  % (21256)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (21256)Memory used [KB]: 5884
% 1.83/0.63  % (21256)Time elapsed: 0.208 s
% 1.83/0.63  % (21256)Instructions burned: 7 (million)
% 1.83/0.63  % (21256)------------------------------
% 1.83/0.63  % (21256)------------------------------
% 1.83/0.63  % (21258)Instruction limit reached!
% 1.83/0.63  % (21258)------------------------------
% 1.83/0.63  % (21258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (21267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (21267)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.63  
% 1.83/0.63  % (21267)Memory used [KB]: 5884
% 1.83/0.63  % (21267)Time elapsed: 0.207 s
% 1.83/0.63  % (21267)Instructions burned: 5 (million)
% 1.83/0.63  % (21267)------------------------------
% 1.83/0.63  % (21267)------------------------------
% 1.83/0.63  % (21258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (21258)Termination reason: Unknown
% 1.83/0.63  % (21258)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (21258)Memory used [KB]: 6012
% 1.83/0.63  % (21258)Time elapsed: 0.217 s
% 1.83/0.63  % (21258)Instructions burned: 6 (million)
% 1.83/0.63  % (21258)------------------------------
% 1.83/0.63  % (21258)------------------------------
% 1.83/0.64  % (21251)First to succeed.
% 1.83/0.64  % (21263)Instruction limit reached!
% 1.83/0.64  % (21263)------------------------------
% 1.83/0.64  % (21263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64  % (21263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (21263)Termination reason: Unknown
% 1.83/0.64  % (21263)Termination phase: Saturation
% 1.83/0.64  
% 1.83/0.64  % (21263)Memory used [KB]: 6012
% 1.83/0.64  % (21263)Time elapsed: 0.219 s
% 1.83/0.64  % (21263)Instructions burned: 8 (million)
% 1.83/0.64  % (21263)------------------------------
% 1.83/0.64  % (21263)------------------------------
% 1.83/0.64  % (21257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64  % (21257)Termination reason: Unknown
% 1.83/0.64  % (21257)Termination phase: Saturation
% 1.83/0.64  
% 1.83/0.64  % (21257)Memory used [KB]: 6268
% 1.83/0.64  % (21257)Time elapsed: 0.206 s
% 1.83/0.64  % (21257)Instructions burned: 23 (million)
% 1.83/0.64  % (21257)------------------------------
% 1.83/0.64  % (21257)------------------------------
% 1.83/0.65  % (21250)Instruction limit reached!
% 1.83/0.65  % (21250)------------------------------
% 1.83/0.65  % (21250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.65  % (21250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.65  % (21250)Termination reason: Unknown
% 1.83/0.65  % (21250)Termination phase: Saturation
% 1.83/0.65  
% 1.83/0.65  % (21250)Memory used [KB]: 6652
% 1.83/0.65  % (21250)Time elapsed: 0.231 s
% 1.83/0.65  % (21250)Instructions burned: 35 (million)
% 1.83/0.65  % (21250)------------------------------
% 1.83/0.65  % (21250)------------------------------
% 2.22/0.66  % (21251)Refutation found. Thanks to Tanya!
% 2.22/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.22/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.66  % (21251)------------------------------
% 2.22/0.66  % (21251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (21251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (21251)Termination reason: Refutation
% 2.22/0.66  
% 2.22/0.66  % (21251)Memory used [KB]: 6268
% 2.22/0.66  % (21251)Time elapsed: 0.211 s
% 2.22/0.66  % (21251)Instructions burned: 22 (million)
% 2.22/0.66  % (21251)------------------------------
% 2.22/0.66  % (21251)------------------------------
% 2.22/0.66  % (21245)Success in time 0.3 s
%------------------------------------------------------------------------------