TSTP Solution File: GRP219-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP219-1 : 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 : n028.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 16:14:55 EDT 2022

% Result   : Unsatisfiable 0.15s 0.52s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  186 (   4 unt;   0 def)
%            Number of atoms       :  668 ( 221 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  940 ( 458   ~; 465   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f571,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f61,f75,f80,f81,f91,f92,f93,f106,f107,f108,f113,f114,f115,f116,f118,f119,f120,f121,f122,f123,f124,f125,f127,f128,f129,f130,f131,f156,f166,f212,f218,f237,f393,f395,f441,f562,f570]) ).

fof(f570,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f569]) ).

fof(f569,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f568]) ).

fof(f568,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f567,f1]) ).

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

fof(f567,plain,
    ( sk_c9 != multiply(identity,sk_c9)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f566]) ).

fof(f566,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(identity,sk_c9)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f564,f527]) ).

fof(f527,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f60,f520]) ).

fof(f520,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f501,f247]) ).

fof(f247,plain,
    ( identity = multiply(sk_c9,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f60]) ).

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

fof(f501,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f264,f491]) ).

fof(f491,plain,
    ( ! [X2] : multiply(sk_c1,X2) = X2
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(superposition,[],[f418,f413]) ).

fof(f413,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f399,f154]) ).

fof(f154,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl0_17
  <=> sk_c9 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f399,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f260,f396]) ).

fof(f396,plain,
    ( sk_c8 = sk_c3
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f269,f51]) ).

fof(f51,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_3
  <=> sk_c8 = multiply(sk_c3,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f269,plain,
    ( sk_c3 = multiply(sk_c3,sk_c9)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(superposition,[],[f260,f242]) ).

fof(f242,plain,
    ( sk_c9 = multiply(sk_c2,sk_c3)
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f65,f154]) ).

fof(f65,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl0_6
  <=> sk_c8 = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f260,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f259,f1]) ).

fof(f259,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f246]) ).

fof(f246,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_1
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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(f418,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c9,X0)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f240]) ).

fof(f240,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f70,f154]) ).

fof(f70,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl0_7
  <=> sk_c9 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f264,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f263,f1]) ).

fof(f263,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f249]) ).

fof(f249,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f90]) ).

fof(f90,plain,
    ( inverse(sk_c1) = sk_c9
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_11
  <=> inverse(sk_c1) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f60,plain,
    ( sk_c9 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl0_5
  <=> sk_c9 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f564,plain,
    ( ! [X9] :
        ( sk_c9 != inverse(X9)
        | sk_c9 != multiply(X9,sk_c9) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f563,f154]) ).

fof(f563,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(X9,sk_c8)
        | sk_c9 != inverse(X9) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f96,f154]) ).

fof(f96,plain,
    ( ! [X9] :
        ( sk_c8 != inverse(X9)
        | sk_c9 != multiply(X9,sk_c8) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl0_12
  <=> ! [X9] :
        ( sk_c9 != multiply(X9,sk_c8)
        | sk_c8 != inverse(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f562,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f561,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f558]) ).

fof(f558,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f556,f501]) ).

fof(f556,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f555]) ).

fof(f555,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | sk_c9 != sk_c9
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f553,f1]) ).

fof(f553,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f220,f527]) ).

fof(f220,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(inverse(X4),sk_c9)
        | sk_c9 != multiply(X4,inverse(X4)) )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f219,f154]) ).

fof(f219,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(X4,inverse(X4))
        | sk_c8 != multiply(inverse(X4),sk_c9) )
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f105,f154]) ).

fof(f105,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c9)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl0_15
  <=> ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c9)
        | sk_c8 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f441,plain,
    ( ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f440]) ).

fof(f440,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f439]) ).

fof(f439,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f436,f240]) ).

fof(f436,plain,
    ( sk_c9 != multiply(sk_c1,sk_c9)
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f433]) ).

fof(f433,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c1,sk_c9)
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f213,f90]) ).

fof(f213,plain,
    ( ! [X3] :
        ( sk_c9 != inverse(X3)
        | sk_c9 != multiply(X3,sk_c9) )
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f102,f154]) ).

fof(f102,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != inverse(X3) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_14
  <=> ! [X3] :
        ( sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f395,plain,
    ( spl0_17
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f394,f110,f77,f58,f153]) ).

fof(f77,plain,
    ( spl0_9
  <=> sk_c5 = multiply(sk_c4,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f110,plain,
    ( spl0_16
  <=> sk_c8 = multiply(sk_c9,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f394,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(backward_demodulation,[],[f112,f284]) ).

fof(f284,plain,
    ( sk_c9 = multiply(sk_c9,sk_c5)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f262,f79]) ).

fof(f79,plain,
    ( sk_c5 = multiply(sk_c4,sk_c9)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f262,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f261,f1]) ).

fof(f261,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f247]) ).

fof(f112,plain,
    ( sk_c8 = multiply(sk_c9,sk_c5)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f393,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f392,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f391]) ).

fof(f391,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(superposition,[],[f367,f241]) ).

fof(f241,plain,
    ( sk_c9 = multiply(sk_c9,sk_c5)
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f112,f154]) ).

fof(f367,plain,
    ( sk_c9 != multiply(sk_c9,sk_c5)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f366,f79]) ).

fof(f366,plain,
    ( sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f364]) ).

fof(f364,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f170,f60]) ).

fof(f170,plain,
    ( ! [X7] :
        ( sk_c9 != inverse(X7)
        | sk_c9 != multiply(sk_c9,multiply(X7,sk_c9)) )
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f99,f154]) ).

fof(f99,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
        | sk_c9 != inverse(X7) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl0_13
  <=> ! [X7] :
        ( sk_c9 != inverse(X7)
        | sk_c8 != multiply(sk_c9,multiply(X7,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f237,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

fof(f236,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f235]) ).

fof(f235,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f233,f180]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f137,f179]) ).

fof(f179,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f157,f174]) ).

fof(f174,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f139,f154]) ).

fof(f139,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f138,f1]) ).

fof(f138,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f133]) ).

fof(f133,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f86]) ).

fof(f86,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_10
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f157,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f134,f139]) ).

fof(f134,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f46]) ).

fof(f46,plain,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl0_2
  <=> sk_c9 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f136,f1]) ).

fof(f136,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f132]) ).

fof(f132,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f74]) ).

fof(f74,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f233,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f232]) ).

fof(f232,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f221,f1]) ).

fof(f221,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f220,f191]) ).

fof(f191,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f74,f190]) ).

fof(f190,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(superposition,[],[f132,f180]) ).

fof(f218,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f216]) ).

fof(f216,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f215,f1]) ).

fof(f215,plain,
    ( sk_c9 != multiply(identity,sk_c9)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f214]) ).

fof(f214,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(identity,sk_c9)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f213,f191]) ).

fof(f212,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f208]) ).

fof(f208,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f206,f180]) ).

fof(f206,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f205,f1]) ).

fof(f205,plain,
    ( sk_c9 != multiply(sk_c9,multiply(identity,sk_c9))
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f204]) ).

fof(f204,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c9,multiply(identity,sk_c9))
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f170,f191]) ).

fof(f166,plain,
    ( spl0_17
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f165,f84,f72,f53,f44,f153]) ).

fof(f53,plain,
    ( spl0_4
  <=> sk_c9 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f165,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f164,f46]) ).

fof(f164,plain,
    ( sk_c8 = multiply(sk_c6,sk_c8)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f158,f140]) ).

fof(f140,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f137,f46]) ).

fof(f158,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c9,sk_c9)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f134,f144]) ).

fof(f144,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f139,f55]) ).

fof(f55,plain,
    ( sk_c9 = multiply(sk_c7,sk_c8)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f156,plain,
    ( ~ spl0_2
    | ~ spl0_17
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f148,f95,f72,f153,f44]) ).

fof(f148,plain,
    ( sk_c9 != sk_c8
    | sk_c9 != multiply(sk_c6,sk_c8)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f96,f74]) ).

fof(f131,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f28,f77,f72]) ).

fof(f28,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c9)
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f130,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f35,f58,f84]) ).

fof(f35,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f129,plain,
    ( spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f11,f84,f68]) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f128,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f12,f63,f72]) ).

fof(f12,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f127,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f20,f72,f49]) ).

fof(f20,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f125,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f32,f58,f72]) ).

fof(f32,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f124,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f19,f84,f40]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f123,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f44,f68]) ).

fof(f9,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f122,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f31,f84,f77]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f121,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f4,f88,f72]) ).

fof(f4,axiom,
    ( inverse(sk_c1) = sk_c9
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f120,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f15,f63,f84]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f119,plain,
    ( spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f25,f110,f44]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c5)
    | sk_c9 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f118,plain,
    ( spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f30,f77,f53]) ).

fof(f30,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c9)
    | sk_c9 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f116,plain,
    ( spl0_16
    | spl0_10 ),
    inference(avatar_split_clause,[],[f27,f84,f110]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c8 = multiply(sk_c9,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f115,plain,
    ( spl0_16
    | spl0_8 ),
    inference(avatar_split_clause,[],[f24,f72,f110]) ).

fof(f24,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f114,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f49,f84]) ).

fof(f23,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f113,plain,
    ( spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f26,f110,f53]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c5)
    | sk_c9 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f108,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f44,f88]) ).

fof(f5,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f107,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f34,f58,f53]) ).

fof(f34,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f106,plain,
    ( spl0_12
    | spl0_13
    | spl0_14
    | spl0_15
    | spl0_14 ),
    inference(avatar_split_clause,[],[f38,f101,f104,f101,f98,f95]) ).

fof(f38,plain,
    ! [X3,X8,X9,X7,X4] :
      ( sk_c9 != multiply(X8,sk_c8)
      | sk_c8 != multiply(inverse(X4),sk_c9)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c8 != multiply(X4,inverse(X4))
      | sk_c9 != inverse(X8)
      | sk_c9 != inverse(X7)
      | sk_c9 != multiply(X9,sk_c8)
      | sk_c8 != inverse(X9)
      | sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
      | sk_c9 != inverse(X3) ),
    inference(equality_resolution,[],[f37]) ).

fof(f37,plain,
    ! [X3,X8,X6,X9,X7,X4] :
      ( sk_c9 != multiply(X8,sk_c8)
      | sk_c8 != multiply(inverse(X4),sk_c9)
      | sk_c8 != multiply(X4,inverse(X4))
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X9,sk_c8)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X7)
      | sk_c8 != multiply(sk_c9,X6)
      | multiply(X7,sk_c9) != X6
      | sk_c8 != inverse(X9)
      | sk_c9 != inverse(X8) ),
    inference(equality_resolution,[],[f36]) ).

fof(f36,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != multiply(X8,sk_c8)
      | inverse(X4) != X5
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X4,X5)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X9,sk_c8)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X7)
      | sk_c8 != multiply(sk_c9,X6)
      | multiply(X7,sk_c9) != X6
      | sk_c8 != inverse(X9)
      | sk_c9 != inverse(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f93,plain,
    ( spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f16,f40,f72]) ).

fof(f16,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f92,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f21,f49,f44]) ).

fof(f21,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | sk_c9 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f91,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f7,f88,f84]) ).

fof(f7,axiom,
    ( inverse(sk_c1) = sk_c9
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f81,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f44,f63]) ).

fof(f13,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f80,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f29,f77,f44]) ).

fof(f29,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c9)
    | sk_c9 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f75,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f72,f68]) ).

fof(f8,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f61,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f33,f58,f44]) ).

fof(f33,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f47,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f44,f40]) ).

fof(f17,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GRP219-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 22:30:17 EDT 2022
% 0.15/0.31  % CPUTime    : 
% 0.15/0.47  % (17150)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)
% 0.15/0.47  % (17158)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)
% 0.15/0.47  % (17148)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)
% 0.15/0.47  % (17162)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)
% 0.15/0.47  % (17160)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)
% 0.15/0.47  % (17166)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.47  % (17158)Instruction limit reached!
% 0.15/0.47  % (17158)------------------------------
% 0.15/0.47  % (17158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (17158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (17158)Termination reason: Unknown
% 0.15/0.47  % (17158)Termination phase: Saturation
% 0.15/0.47  
% 0.15/0.47  % (17158)Memory used [KB]: 1279
% 0.15/0.47  % (17158)Time elapsed: 0.003 s
% 0.15/0.47  % (17158)Instructions burned: 2 (million)
% 0.15/0.47  % (17158)------------------------------
% 0.15/0.47  % (17158)------------------------------
% 0.15/0.48  % (17150)Instruction limit reached!
% 0.15/0.48  % (17150)------------------------------
% 0.15/0.48  % (17150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (17150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (17150)Termination reason: Unknown
% 0.15/0.48  % (17150)Termination phase: Saturation
% 0.15/0.48  
% 0.15/0.48  % (17150)Memory used [KB]: 5884
% 0.15/0.48  % (17150)Time elapsed: 0.004 s
% 0.15/0.48  % (17150)Instructions burned: 3 (million)
% 0.15/0.48  % (17150)------------------------------
% 0.15/0.48  % (17150)------------------------------
% 0.15/0.48  % (17170)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)
% 0.15/0.48  % (17164)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)
% 0.15/0.48  % (17168)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)
% 0.15/0.48  % (17162)Instruction limit reached!
% 0.15/0.48  % (17162)------------------------------
% 0.15/0.48  % (17162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (17154)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)
% 0.15/0.48  % (17154)Instruction limit reached!
% 0.15/0.48  % (17154)------------------------------
% 0.15/0.48  % (17154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (17162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (17162)Termination reason: Unknown
% 0.15/0.48  % (17162)Termination phase: Saturation
% 0.15/0.48  
% 0.15/0.48  % (17162)Memory used [KB]: 1407
% 0.15/0.48  % (17162)Time elapsed: 0.114 s
% 0.15/0.48  % (17162)Instructions burned: 6 (million)
% 0.15/0.48  % (17162)------------------------------
% 0.15/0.48  % (17162)------------------------------
% 0.15/0.49  % (17154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (17154)Termination reason: Unknown
% 0.15/0.49  % (17154)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (17154)Memory used [KB]: 5884
% 0.15/0.49  % (17154)Time elapsed: 0.114 s
% 0.15/0.49  % (17154)Instructions burned: 5 (million)
% 0.15/0.49  % (17154)------------------------------
% 0.15/0.49  % (17154)------------------------------
% 0.15/0.49  % (17152)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)
% 0.15/0.49  % (17156)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)
% 0.15/0.49  % (17152)Instruction limit reached!
% 0.15/0.49  % (17152)------------------------------
% 0.15/0.49  % (17152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (17152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (17152)Termination reason: Unknown
% 0.15/0.49  % (17152)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (17152)Memory used [KB]: 5884
% 0.15/0.49  % (17152)Time elapsed: 0.124 s
% 0.15/0.49  % (17152)Instructions burned: 6 (million)
% 0.15/0.49  % (17152)------------------------------
% 0.15/0.49  % (17152)------------------------------
% 0.15/0.49  % (17168)Refutation not found, incomplete strategy% (17168)------------------------------
% 0.15/0.49  % (17168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (17168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (17168)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49  
% 0.15/0.49  % (17168)Memory used [KB]: 5884
% 0.15/0.49  % (17168)Time elapsed: 0.123 s
% 0.15/0.49  % (17168)Instructions burned: 3 (million)
% 0.15/0.49  % (17168)------------------------------
% 0.15/0.49  % (17168)------------------------------
% 0.15/0.50  % (17160)First to succeed.
% 0.15/0.50  % (17170)Instruction limit reached!
% 0.15/0.50  % (17170)------------------------------
% 0.15/0.50  % (17170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (17170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (17170)Termination reason: Unknown
% 0.15/0.50  % (17170)Termination phase: Saturation
% 0.15/0.50  
% 0.15/0.50  % (17170)Memory used [KB]: 6268
% 0.15/0.50  % (17170)Time elapsed: 0.130 s
% 0.15/0.50  % (17170)Instructions burned: 20 (million)
% 0.15/0.50  % (17170)------------------------------
% 0.15/0.50  % (17170)------------------------------
% 0.15/0.52  % (17160)Refutation found. Thanks to Tanya!
% 0.15/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52  % (17160)------------------------------
% 0.15/0.52  % (17160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (17160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (17160)Termination reason: Refutation
% 0.15/0.52  
% 0.15/0.52  % (17160)Memory used [KB]: 10618
% 0.15/0.52  % (17160)Time elapsed: 0.127 s
% 0.15/0.52  % (17160)Instructions burned: 19 (million)
% 0.15/0.52  % (17160)------------------------------
% 0.15/0.52  % (17160)------------------------------
% 0.15/0.52  % (17141)Success in time 0.198 s
%------------------------------------------------------------------------------