TSTP Solution File: GRP322-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP322-1 : 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 : n003.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 16:15:21 EDT 2022

% Result   : Unsatisfiable 1.48s 0.56s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  196 (   4 unt;   0 def)
%            Number of atoms       :  646 ( 229 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  853 ( 403   ~; 434   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f438,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f56,f65,f74,f79,f97,f98,f99,f104,f105,f106,f107,f108,f109,f110,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f186,f222,f244,f253,f331,f359,f370,f387,f431,f437]) ).

fof(f437,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f436]) ).

fof(f436,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | spl0_11
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f434]) ).

fof(f434,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f433,f400]) ).

fof(f400,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f335,f355]) ).

fof(f355,plain,
    ( sk_c8 = sk_c9
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl0_17
  <=> sk_c8 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f335,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f273,f60]) ).

fof(f60,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl0_4
  <=> sk_c9 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f272,f1]) ).

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

fof(f272,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f262]) ).

fof(f262,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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(f433,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f432,f362]) ).

fof(f362,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f82,f335]) ).

fof(f82,plain,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_9
  <=> multiply(sk_c8,sk_c9) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f432,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f90,f355]) ).

fof(f90,plain,
    ( sk_c7 != multiply(sk_c9,sk_c8)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_11
  <=> sk_c7 = multiply(sk_c9,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f431,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f429]) ).

fof(f429,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f426,f390]) ).

fof(f390,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f60,f355]) ).

fof(f426,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f423]) ).

fof(f423,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f422,f46]) ).

fof(f422,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c8) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f421,f355]) ).

fof(f421,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c9)
        | sk_c8 != inverse(X6) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f96,f355]) ).

fof(f96,plain,
    ( ! [X6] :
        ( sk_c9 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c9) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl0_13
  <=> ! [X6] :
        ( sk_c8 != multiply(X6,sk_c9)
        | sk_c9 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f387,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f386,f112,f76,f67,f354]) ).

fof(f67,plain,
    ( spl0_6
  <=> sk_c3 = multiply(sk_c2,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f76,plain,
    ( spl0_8
  <=> sk_c8 = multiply(sk_c9,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f112,plain,
    ( spl0_15
  <=> sk_c9 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f386,plain,
    ( sk_c8 = sk_c9
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f383,f78]) ).

fof(f78,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f383,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f361,f69]) ).

fof(f69,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f361,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f360,f1]) ).

fof(f360,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f333]) ).

fof(f333,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_15 ),
    inference(superposition,[],[f2,f114]) ).

fof(f114,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f370,plain,
    ( ~ spl0_4
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f369,f92,f44,f58]) ).

fof(f92,plain,
    ( spl0_12
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f369,plain,
    ( sk_c9 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f366]) ).

fof(f366,plain,
    ( sk_c8 != sk_c8
    | sk_c9 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f93,f46]) ).

fof(f93,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c8) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f359,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f358,f112,f85,f67,f76]) ).

fof(f85,plain,
    ( spl0_10
  <=> ! [X8] :
        ( sk_c9 != inverse(X8)
        | sk_c8 != multiply(sk_c9,multiply(X8,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f358,plain,
    ( sk_c8 != multiply(sk_c9,sk_c3)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f347,f69]) ).

fof(f347,plain,
    ( sk_c8 != multiply(sk_c9,multiply(sk_c2,sk_c9))
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f346]) ).

fof(f346,plain,
    ( sk_c9 != sk_c9
    | sk_c8 != multiply(sk_c9,multiply(sk_c2,sk_c9))
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f86,f114]) ).

fof(f86,plain,
    ( ! [X8] :
        ( sk_c9 != inverse(X8)
        | sk_c8 != multiply(sk_c9,multiply(X8,sk_c9)) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f331,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f329]) ).

fof(f329,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f326,f261]) ).

fof(f261,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f60,f160]) ).

fof(f160,plain,
    ( sk_c8 = sk_c9
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f158,f55]) ).

fof(f55,plain,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl0_3
  <=> sk_c8 = multiply(sk_c9,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f158,plain,
    ( sk_c9 = multiply(sk_c9,sk_c6)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f150,f50]) ).

fof(f50,plain,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_2
  <=> sk_c6 = multiply(sk_c5,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f150,plain,
    ( ! [X11] : multiply(sk_c9,multiply(sk_c5,X11)) = X11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f145,f1]) ).

fof(f145,plain,
    ( ! [X11] : multiply(sk_c9,multiply(sk_c5,X11)) = multiply(identity,X11)
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f138]) ).

fof(f138,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | ~ spl0_14 ),
    inference(superposition,[],[f2,f103]) ).

fof(f103,plain,
    ( sk_c9 = inverse(sk_c5)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_14
  <=> sk_c9 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f326,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f324]) ).

fof(f324,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f294,f46]) ).

fof(f294,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f293,f160]) ).

fof(f293,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c9 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f96,f160]) ).

fof(f253,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f251]) ).

fof(f251,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f249,f165]) ).

fof(f165,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f73,f160]) ).

fof(f73,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_7
  <=> sk_c8 = multiply(sk_c4,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f249,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f247]) ).

fof(f247,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f246,f164]) ).

fof(f164,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f64,f160]) ).

fof(f64,plain,
    ( sk_c9 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl0_5
  <=> sk_c9 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f246,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f245,f160]) ).

fof(f245,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c9) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f96,f160]) ).

fof(f244,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f243]) ).

fof(f243,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f242]) ).

fof(f242,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f240,f165]) ).

fof(f240,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f238]) ).

fof(f238,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f223,f164]) ).

fof(f223,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f93,f160]) ).

fof(f222,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f221,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f220]) ).

fof(f220,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f218,f163]) ).

fof(f163,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f55,f160]) ).

fof(f218,plain,
    ( sk_c8 != multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f217,f162]) ).

fof(f162,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f50,f160]) ).

fof(f217,plain,
    ( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f215]) ).

fof(f215,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f188,f166]) ).

fof(f166,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f103,f160]) ).

fof(f188,plain,
    ( ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c8 != multiply(sk_c8,multiply(X8,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f187,f160]) ).

fof(f187,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
        | sk_c8 != inverse(X8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f86,f160]) ).

fof(f186,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f185]) ).

fof(f185,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f183]) ).

fof(f183,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f173,f171]) ).

fof(f171,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f152,f160]) ).

fof(f152,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f149,f73]) ).

fof(f149,plain,
    ( ! [X9] : multiply(sk_c9,multiply(sk_c4,X9)) = X9
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f143,f1]) ).

fof(f143,plain,
    ( ! [X9] : multiply(identity,X9) = multiply(sk_c9,multiply(sk_c4,X9))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f137]) ).

fof(f137,plain,
    ( identity = multiply(sk_c9,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f64]) ).

fof(f173,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f157,f160]) ).

fof(f157,plain,
    ( sk_c9 != multiply(sk_c8,sk_c9)
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f83,f155]) ).

fof(f155,plain,
    ( sk_c9 = sk_c7
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f89,f152]) ).

fof(f89,plain,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f83,plain,
    ( multiply(sk_c8,sk_c9) != sk_c7
    | spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f136,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f22,f88,f76]) ).

fof(f22,axiom,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f135,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f58,f71]) ).

fof(f11,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f134,plain,
    ( spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f17,f44,f71]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f133,plain,
    ( spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f36,f112,f62]) ).

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

fof(f132,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f10,f58,f88]) ).

fof(f10,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c9,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f131,plain,
    ( spl0_14
    | spl0_1 ),
    inference(avatar_split_clause,[],[f21,f44,f101]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f130,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f32,f48,f67]) ).

fof(f32,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f129,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f67,f88]) ).

fof(f28,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c7 = multiply(sk_c9,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f128,plain,
    ( spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f16,f44,f88]) ).

fof(f16,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c9,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f127,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f53,f58]) ).

fof(f13,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f126,plain,
    ( spl0_7
    | spl0_15 ),
    inference(avatar_split_clause,[],[f35,f112,f71]) ).

fof(f35,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f125,plain,
    ( spl0_15
    | spl0_14 ),
    inference(avatar_split_clause,[],[f39,f101,f112]) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f124,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f53,f76]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f123,plain,
    ( spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f18,f44,f62]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c9 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f122,plain,
    ( spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f30,f62,f67]) ).

fof(f30,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f121,plain,
    ( spl0_15
    | spl0_3 ),
    inference(avatar_split_clause,[],[f37,f53,f112]) ).

fof(f37,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f120,plain,
    ( spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f38,f48,f112]) ).

fof(f38,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f119,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f53,f81]) ).

fof(f7,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f118,plain,
    ( spl0_14
    | spl0_8 ),
    inference(avatar_split_clause,[],[f27,f76,f101]) ).

fof(f27,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f117,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f31,f67,f53]) ).

fof(f31,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f116,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f8,f81,f48]) ).

fof(f8,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f115,plain,
    ( spl0_15
    | spl0_11 ),
    inference(avatar_split_clause,[],[f34,f88,f112]) ).

fof(f34,axiom,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f110,plain,
    ( spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f4,f81,f88]) ).

fof(f4,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c7 = multiply(sk_c9,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f109,plain,
    ( spl0_14
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f58,f101]) ).

fof(f15,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f108,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f14,f58,f48]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f107,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f6,f62,f81]) ).

fof(f6,axiom,
    ( sk_c9 = inverse(sk_c4)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f106,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f24,f62,f76]) ).

fof(f24,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f105,plain,
    ( spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f67,f101]) ).

fof(f33,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f104,plain,
    ( spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f9,f101,f81]) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c5)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f99,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f5,f81,f71]) ).

fof(f5,axiom,
    ( multiply(sk_c8,sk_c9) = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f98,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f26,f76,f48]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f97,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_12
    | spl0_10
    | spl0_13 ),
    inference(avatar_split_clause,[],[f42,f95,f85,f92,f88,f85,f81]) ).

fof(f42,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c8 != multiply(X6,sk_c9)
      | sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(sk_c9,sk_c8)
      | sk_c9 != inverse(X8)
      | sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
      | multiply(sk_c8,sk_c9) != sk_c7
      | sk_c9 != inverse(X6)
      | sk_c9 != multiply(X3,sk_c8) ),
    inference(equality_resolution,[],[f41]) ).

fof(f41,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c7 != multiply(sk_c9,sk_c8)
      | sk_c9 != inverse(X6)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c8 != multiply(X6,sk_c9)
      | sk_c8 != inverse(X3)
      | multiply(X5,sk_c9) != X4
      | sk_c9 != inverse(X8)
      | multiply(sk_c8,sk_c9) != sk_c7 ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != inverse(X5)
      | multiply(X8,sk_c9) != X7
      | sk_c7 != multiply(sk_c9,sk_c8)
      | sk_c9 != inverse(X6)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c8 != multiply(sk_c9,X7)
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c8 != multiply(X6,sk_c9)
      | sk_c8 != inverse(X3)
      | multiply(X5,sk_c9) != X4
      | sk_c9 != inverse(X8)
      | multiply(sk_c8,sk_c9) != sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f79,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f71,f76]) ).

fof(f23,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f74,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f29,f71,f67]) ).

fof(f29,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f65,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f62,f58]) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f56,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f19,f53,f44]) ).

fof(f19,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f51,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f20,f48,f44]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP322-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:24:52 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (10457)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)
% 0.21/0.51  % (10474)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)
% 0.21/0.51  % (10460)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)
% 0.21/0.51  % (10466)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)
% 0.21/0.52  % (10468)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)
% 0.21/0.52  % (10466)Instruction limit reached!
% 0.21/0.52  % (10466)------------------------------
% 0.21/0.52  % (10466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (10474)Instruction limit reached!
% 1.31/0.52  % (10474)------------------------------
% 1.31/0.52  % (10474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (10455)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)
% 1.31/0.52  % (10466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (10466)Termination reason: Unknown
% 1.31/0.52  % (10466)Termination phase: Saturation
% 1.31/0.52  
% 1.31/0.52  % (10466)Memory used [KB]: 5884
% 1.31/0.52  % (10466)Time elapsed: 0.116 s
% 1.31/0.52  % (10466)Instructions burned: 5 (million)
% 1.31/0.52  % (10466)------------------------------
% 1.31/0.52  % (10466)------------------------------
% 1.31/0.52  % (10474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (10474)Termination reason: Unknown
% 1.31/0.52  % (10474)Termination phase: Saturation
% 1.31/0.52  
% 1.31/0.52  % (10474)Memory used [KB]: 1407
% 1.31/0.52  % (10474)Time elapsed: 0.114 s
% 1.31/0.52  % (10474)Instructions burned: 7 (million)
% 1.31/0.52  % (10474)------------------------------
% 1.31/0.52  % (10474)------------------------------
% 1.31/0.53  % (10459)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.53  % (10454)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)
% 1.31/0.53  % (10453)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.31/0.54  % (10469)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)
% 1.31/0.54  % (10456)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)
% 1.48/0.54  % (10455)Instruction limit reached!
% 1.48/0.54  % (10455)------------------------------
% 1.48/0.54  % (10455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54  % (10455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54  % (10455)Termination reason: Unknown
% 1.48/0.54  % (10455)Termination phase: Saturation
% 1.48/0.54  
% 1.48/0.54  % (10455)Memory used [KB]: 5884
% 1.48/0.54  % (10455)Time elapsed: 0.133 s
% 1.48/0.54  % (10455)Instructions burned: 6 (million)
% 1.48/0.54  % (10455)------------------------------
% 1.48/0.54  % (10455)------------------------------
% 1.48/0.54  % (10457)Instruction limit reached!
% 1.48/0.54  % (10457)------------------------------
% 1.48/0.54  % (10457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54  % (10457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54  % (10457)Termination reason: Unknown
% 1.48/0.54  % (10457)Termination phase: Saturation
% 1.48/0.54  
% 1.48/0.54  % (10457)Memory used [KB]: 6524
% 1.48/0.54  % (10484)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)
% 1.48/0.54  % (10457)Time elapsed: 0.118 s
% 1.48/0.54  % (10457)Instructions burned: 34 (million)
% 1.48/0.54  % (10457)------------------------------
% 1.48/0.54  % (10457)------------------------------
% 1.48/0.54  % (10477)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)
% 1.48/0.54  % (10476)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)
% 1.48/0.54  % (10470)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)
% 1.48/0.54  % (10477)Refutation not found, incomplete strategy% (10477)------------------------------
% 1.48/0.54  % (10477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54  % (10477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54  % (10477)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.54  
% 1.48/0.54  % (10477)Memory used [KB]: 5884
% 1.48/0.54  % (10477)Time elapsed: 0.095 s
% 1.48/0.54  % (10477)Instructions burned: 3 (million)
% 1.48/0.54  % (10477)------------------------------
% 1.48/0.54  % (10477)------------------------------
% 1.48/0.55  % (10471)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.48/0.55  % (10473)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)
% 1.48/0.55  % (10472)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)
% 1.48/0.55  % (10475)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)
% 1.48/0.55  % (10479)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)
% 1.48/0.55  % (10463)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)
% 1.48/0.55  % (10467)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)
% 1.48/0.55  % (10465)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)
% 1.48/0.55  % (10464)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)
% 1.48/0.55  % (10467)Instruction limit reached!
% 1.48/0.55  % (10467)------------------------------
% 1.48/0.55  % (10467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55  % (10467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (10467)Termination reason: Unknown
% 1.48/0.55  % (10467)Termination phase: Saturation
% 1.48/0.55  
% 1.48/0.55  % (10467)Memory used [KB]: 5884
% 1.48/0.55  % (10467)Time elapsed: 0.003 s
% 1.48/0.55  % (10467)Instructions burned: 4 (million)
% 1.48/0.55  % (10467)------------------------------
% 1.48/0.55  % (10467)------------------------------
% 1.48/0.55  % (10478)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)
% 1.48/0.56  % (10482)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)
% 1.48/0.56  % (10480)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)
% 1.48/0.56  % (10483)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)
% 1.48/0.56  % (10459)First to succeed.
% 1.48/0.56  % (10459)Refutation found. Thanks to Tanya!
% 1.48/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.48/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.56  % (10459)------------------------------
% 1.48/0.56  % (10459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56  % (10459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56  % (10459)Termination reason: Refutation
% 1.48/0.56  
% 1.48/0.56  % (10459)Memory used [KB]: 6140
% 1.48/0.56  % (10459)Time elapsed: 0.154 s
% 1.48/0.56  % (10459)Instructions burned: 15 (million)
% 1.48/0.56  % (10459)------------------------------
% 1.48/0.56  % (10459)------------------------------
% 1.48/0.56  % (10450)Success in time 0.203 s
%------------------------------------------------------------------------------