TSTP Solution File: BOO072-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n013.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 15:49:42 EDT 2022

% Result   : Unsatisfiable 2.80s 0.78s
% Output   : Refutation 2.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  140 (   5 unt;   0 def)
%            Number of atoms       :  368 ( 106 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  426 ( 198   ~; 197   |;   0   &)
%                                         (  31 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :   33 (  31 usr;  32 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  198 ( 198   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3713,plain,
    $false,
    inference(avatar_sat_refutation,[],[f7,f11,f20,f32,f45,f67,f88,f122,f314,f318,f380,f507,f554,f617,f643,f988,f1179,f1377,f1482,f1534,f1659,f1735,f1789,f1883,f1969,f2188,f2320,f2531,f3331,f3559,f3635,f3712]) ).

fof(f3712,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f3711]) ).

fof(f3711,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_66 ),
    inference(trivial_inequality_removal,[],[f3706]) ).

fof(f3706,plain,
    ( add(b,a) != add(b,a)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_66 ),
    inference(backward_demodulation,[],[f6,f3636]) ).

fof(f3636,plain,
    ( ! [X2,X4] : add(X2,X4) = add(X4,X2)
    | ~ spl0_2
    | ~ spl0_66 ),
    inference(superposition,[],[f3634,f10]) ).

fof(f10,plain,
    ( ! [X2,X3,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f9,plain,
    ( spl0_2
  <=> ! [X0,X3,X2,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3634,plain,
    ( ! [X10,X9] : add(inverse(X9),X10) = add(X10,inverse(X9))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f3633]) ).

fof(f3633,plain,
    ( spl0_66
  <=> ! [X9,X10] : add(inverse(X9),X10) = add(X10,inverse(X9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f6,plain,
    ( add(b,a) != add(a,b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f4]) ).

fof(f4,plain,
    ( spl0_1
  <=> add(b,a) = add(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3635,plain,
    ( spl0_66
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f3618,f3557,f2529,f1967,f3633]) ).

fof(f1967,plain,
    ( spl0_47
  <=> ! [X16,X17] : add(X16,inverse(add(X17,inverse(X16)))) = X16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2529,plain,
    ( spl0_57
  <=> ! [X9,X10] : add(X10,inverse(add(X9,inverse(add(inverse(X9),X10))))) = add(inverse(X9),X10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3557,plain,
    ( spl0_64
  <=> ! [X57,X59] : add(add(X59,X57),X59) = add(X59,X57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f3618,plain,
    ( ! [X10,X9] : add(inverse(X9),X10) = add(X10,inverse(X9))
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_64 ),
    inference(backward_demodulation,[],[f2530,f3605]) ).

fof(f3605,plain,
    ( ! [X68,X67] : add(X67,inverse(add(inverse(X67),X68))) = X67
    | ~ spl0_47
    | ~ spl0_64 ),
    inference(superposition,[],[f1968,f3558]) ).

fof(f3558,plain,
    ( ! [X59,X57] : add(add(X59,X57),X59) = add(X59,X57)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f3557]) ).

fof(f1968,plain,
    ( ! [X16,X17] : add(X16,inverse(add(X17,inverse(X16)))) = X16
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f1967]) ).

fof(f2530,plain,
    ( ! [X10,X9] : add(X10,inverse(add(X9,inverse(add(inverse(X9),X10))))) = add(inverse(X9),X10)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f2529]) ).

fof(f3559,plain,
    ( spl0_64
    | ~ spl0_22
    | ~ spl0_46
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f3475,f3329,f1881,f641,f3557]) ).

fof(f641,plain,
    ( spl0_22
  <=> ! [X0] : inverse(inverse(X0)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1881,plain,
    ( spl0_46
  <=> ! [X60,X59] : inverse(X59) = add(inverse(X59),inverse(add(X60,X59))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3329,plain,
    ( spl0_61
  <=> ! [X2,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X2)),X1)),inverse(add(X1,X0)))) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3475,plain,
    ( ! [X59,X57] : add(add(X59,X57),X59) = add(X59,X57)
    | ~ spl0_22
    | ~ spl0_46
    | ~ spl0_61 ),
    inference(forward_demodulation,[],[f3418,f642]) ).

fof(f642,plain,
    ( ! [X0] : inverse(inverse(X0)) = X0
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f3418,plain,
    ( ! [X59,X57] : inverse(inverse(add(X59,X57))) = add(inverse(inverse(add(X59,X57))),X59)
    | ~ spl0_46
    | ~ spl0_61 ),
    inference(superposition,[],[f1882,f3330]) ).

fof(f3330,plain,
    ( ! [X2,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X2)),X1)),inverse(add(X1,X0)))) = X1
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f3329]) ).

fof(f1882,plain,
    ( ! [X59,X60] : inverse(X59) = add(inverse(X59),inverse(add(X60,X59)))
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f1881]) ).

fof(f3331,plain,
    ( spl0_61
    | ~ spl0_2
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2345,f2318,f9,f3329]) ).

fof(f2318,plain,
    ( spl0_52
  <=> ! [X11,X12] : add(X12,inverse(add(inverse(X11),inverse(add(X11,X12))))) = add(X11,X12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2345,plain,
    ( ! [X2,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X2)),X1)),inverse(add(X1,X0)))) = X1
    | ~ spl0_2
    | ~ spl0_52 ),
    inference(superposition,[],[f10,f2319]) ).

fof(f2319,plain,
    ( ! [X11,X12] : add(X12,inverse(add(inverse(X11),inverse(add(X11,X12))))) = add(X11,X12)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f2318]) ).

fof(f2531,plain,
    ( spl0_57
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2315,f2186,f986,f641,f2529]) ).

fof(f986,plain,
    ( spl0_30
  <=> ! [X11,X12] : inverse(X12) = add(inverse(add(X11,X12)),inverse(add(inverse(X11),X12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2186,plain,
    ( spl0_51
  <=> ! [X6,X4,X5] : inverse(X6) = add(inverse(add(inverse(add(X4,X5)),X6)),inverse(add(X4,X6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2315,plain,
    ( ! [X10,X9] : add(X10,inverse(add(X9,inverse(add(inverse(X9),X10))))) = add(inverse(X9),X10)
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(forward_demodulation,[],[f2314,f642]) ).

fof(f2314,plain,
    ( ! [X10,X9] : inverse(inverse(add(inverse(X9),X10))) = add(X10,inverse(add(X9,inverse(add(inverse(X9),X10)))))
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(forward_demodulation,[],[f2208,f642]) ).

fof(f2208,plain,
    ( ! [X10,X9] : inverse(inverse(add(inverse(X9),X10))) = add(inverse(inverse(X10)),inverse(add(X9,inverse(add(inverse(X9),X10)))))
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(superposition,[],[f2187,f987]) ).

fof(f987,plain,
    ( ! [X11,X12] : inverse(X12) = add(inverse(add(X11,X12)),inverse(add(inverse(X11),X12)))
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f2187,plain,
    ( ! [X6,X4,X5] : inverse(X6) = add(inverse(add(inverse(add(X4,X5)),X6)),inverse(add(X4,X6)))
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f2186]) ).

fof(f2320,plain,
    ( spl0_52
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2295,f2186,f1177,f641,f2318]) ).

fof(f1177,plain,
    ( spl0_34
  <=> ! [X24,X23] : inverse(X24) = add(inverse(add(inverse(X23),X24)),inverse(add(X23,X24))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2295,plain,
    ( ! [X11,X12] : add(X12,inverse(add(inverse(X11),inverse(add(X11,X12))))) = add(X11,X12)
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_51 ),
    inference(forward_demodulation,[],[f2294,f642]) ).

fof(f2294,plain,
    ( ! [X11,X12] : add(inverse(inverse(X12)),inverse(add(inverse(X11),inverse(add(X11,X12))))) = add(X11,X12)
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_51 ),
    inference(forward_demodulation,[],[f2209,f642]) ).

fof(f2209,plain,
    ( ! [X11,X12] : add(inverse(inverse(X12)),inverse(add(inverse(X11),inverse(add(X11,X12))))) = inverse(inverse(add(X11,X12)))
    | ~ spl0_34
    | ~ spl0_51 ),
    inference(superposition,[],[f2187,f1178]) ).

fof(f1178,plain,
    ( ! [X24,X23] : inverse(X24) = add(inverse(add(inverse(X23),X24)),inverse(add(X23,X24)))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f1177]) ).

fof(f2188,plain,
    ( spl0_51
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f645,f641,f86,f2186]) ).

fof(f86,plain,
    ( spl0_7
  <=> ! [X2,X0,X3] : inverse(add(inverse(add(inverse(add(X2,X3)),X0)),inverse(add(X2,X0)))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f645,plain,
    ( ! [X6,X4,X5] : inverse(X6) = add(inverse(add(inverse(add(X4,X5)),X6)),inverse(add(X4,X6)))
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(superposition,[],[f642,f87]) ).

fof(f87,plain,
    ( ! [X2,X3,X0] : inverse(add(inverse(add(inverse(add(X2,X3)),X0)),inverse(add(X2,X0)))) = X0
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f1969,plain,
    ( spl0_47
    | ~ spl0_22
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1888,f1881,f641,f1967]) ).

fof(f1888,plain,
    ( ! [X16,X17] : add(X16,inverse(add(X17,inverse(X16)))) = X16
    | ~ spl0_22
    | ~ spl0_46 ),
    inference(superposition,[],[f1882,f642]) ).

fof(f1883,plain,
    ( spl0_46
    | ~ spl0_22
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1835,f1787,f641,f1881]) ).

fof(f1787,plain,
    ( spl0_45
  <=> ! [X6,X7] : inverse(add(inverse(X7),inverse(add(X6,X7)))) = X7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1835,plain,
    ( ! [X59,X60] : inverse(X59) = add(inverse(X59),inverse(add(X60,X59)))
    | ~ spl0_22
    | ~ spl0_45 ),
    inference(superposition,[],[f642,f1788]) ).

fof(f1788,plain,
    ( ! [X6,X7] : inverse(add(inverse(X7),inverse(add(X6,X7)))) = X7
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f1787]) ).

fof(f1789,plain,
    ( spl0_45
    | ~ spl0_7
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1758,f1733,f86,f1787]) ).

fof(f1733,plain,
    ( spl0_44
  <=> ! [X16,X17] : add(inverse(add(X17,inverse(X16))),X16) = X16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1758,plain,
    ( ! [X6,X7] : inverse(add(inverse(X7),inverse(add(X6,X7)))) = X7
    | ~ spl0_7
    | ~ spl0_44 ),
    inference(superposition,[],[f87,f1734]) ).

fof(f1734,plain,
    ( ! [X16,X17] : add(inverse(add(X17,inverse(X16))),X16) = X16
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f1733]) ).

fof(f1735,plain,
    ( spl0_44
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1684,f1657,f641,f1733]) ).

fof(f1657,plain,
    ( spl0_42
  <=> ! [X9,X8] : add(inverse(add(X8,X9)),inverse(X9)) = inverse(X9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1684,plain,
    ( ! [X16,X17] : add(inverse(add(X17,inverse(X16))),X16) = X16
    | ~ spl0_22
    | ~ spl0_42 ),
    inference(superposition,[],[f1658,f642]) ).

fof(f1658,plain,
    ( ! [X8,X9] : add(inverse(add(X8,X9)),inverse(X9)) = inverse(X9)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f1659,plain,
    ( spl0_42
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1542,f1532,f1177,f1657]) ).

fof(f1532,plain,
    ( spl0_40
  <=> ! [X50,X51] : add(X50,add(X51,X50)) = add(X51,X50) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1542,plain,
    ( ! [X8,X9] : add(inverse(add(X8,X9)),inverse(X9)) = inverse(X9)
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(superposition,[],[f1533,f1178]) ).

fof(f1533,plain,
    ( ! [X50,X51] : add(X50,add(X51,X50)) = add(X51,X50)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f1532]) ).

fof(f1534,plain,
    ( spl0_40
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1529,f1480,f641,f1532]) ).

fof(f1480,plain,
    ( spl0_39
  <=> ! [X4,X3] : inverse(add(X3,X4)) = inverse(add(X4,add(X3,X4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1529,plain,
    ( ! [X50,X51] : add(X50,add(X51,X50)) = add(X51,X50)
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f1512,f642]) ).

fof(f1512,plain,
    ( ! [X50,X51] : add(X50,add(X51,X50)) = inverse(inverse(add(X51,X50)))
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(superposition,[],[f642,f1481]) ).

fof(f1481,plain,
    ( ! [X3,X4] : inverse(add(X3,X4)) = inverse(add(X4,add(X3,X4)))
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f1480]) ).

fof(f1482,plain,
    ( spl0_39
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1469,f1375,f641,f86,f1480]) ).

fof(f1375,plain,
    ( spl0_36
  <=> ! [X9,X10] : inverse(add(inverse(add(inverse(add(X9,X10)),X9)),inverse(X9))) = X9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1469,plain,
    ( ! [X3,X4] : inverse(add(X3,X4)) = inverse(add(X4,add(X3,X4)))
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1408,f642]) ).

fof(f1408,plain,
    ( ! [X3,X4] : inverse(add(X4,inverse(inverse(add(X3,X4))))) = inverse(add(X3,X4))
    | ~ spl0_7
    | ~ spl0_36 ),
    inference(superposition,[],[f1376,f87]) ).

fof(f1376,plain,
    ( ! [X10,X9] : inverse(add(inverse(add(inverse(add(X9,X10)),X9)),inverse(X9))) = X9
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f1375]) ).

fof(f1377,plain,
    ( spl0_36
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f622,f615,f86,f1375]) ).

fof(f615,plain,
    ( spl0_21
  <=> ! [X2] : add(X2,X2) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f622,plain,
    ( ! [X10,X9] : inverse(add(inverse(add(inverse(add(X9,X10)),X9)),inverse(X9))) = X9
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(superposition,[],[f87,f616]) ).

fof(f616,plain,
    ( ! [X2] : add(X2,X2) = X2
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1179,plain,
    ( spl0_34
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1010,f986,f641,f1177]) ).

fof(f1010,plain,
    ( ! [X24,X23] : inverse(X24) = add(inverse(add(inverse(X23),X24)),inverse(add(X23,X24)))
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(superposition,[],[f987,f642]) ).

fof(f988,plain,
    ( spl0_30
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f649,f641,f119,f986]) ).

fof(f119,plain,
    ( spl0_8
  <=> ! [X17,X15] : inverse(add(inverse(add(X15,X17)),inverse(add(inverse(X15),X17)))) = X17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f649,plain,
    ( ! [X11,X12] : inverse(X12) = add(inverse(add(X11,X12)),inverse(add(inverse(X11),X12)))
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(superposition,[],[f642,f120]) ).

fof(f120,plain,
    ( ! [X17,X15] : inverse(add(inverse(add(X15,X17)),inverse(add(inverse(X15),X17)))) = X17
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f643,plain,
    ( spl0_22
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f637,f615,f552,f378,f65,f43,f641]) ).

fof(f43,plain,
    ( spl0_5
  <=> ! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f65,plain,
    ( spl0_6
  <=> ! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f378,plain,
    ( spl0_16
  <=> ! [X2] : inverse(add(inverse(add(X2,X2)),inverse(add(X2,X2)))) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f552,plain,
    ( spl0_19
  <=> ! [X3] : inverse(add(X3,inverse(add(inverse(X3),inverse(X3))))) = inverse(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f637,plain,
    ( ! [X0] : inverse(inverse(X0)) = X0
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f613,f616]) ).

fof(f613,plain,
    ( ! [X0] : inverse(add(inverse(X0),inverse(X0))) = X0
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f66,f605]) ).

fof(f605,plain,
    ( ! [X2] : add(X2,X2) = X2
    | ~ spl0_5
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f379,f604]) ).

fof(f604,plain,
    ( ! [X6] : inverse(add(inverse(X6),inverse(X6))) = X6
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f576,f553]) ).

fof(f553,plain,
    ( ! [X3] : inverse(add(X3,inverse(add(inverse(X3),inverse(X3))))) = inverse(X3)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f576,plain,
    ( ! [X6] : inverse(add(inverse(X6),inverse(add(X6,inverse(add(inverse(X6),inverse(X6))))))) = X6
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(superposition,[],[f44,f553]) ).

fof(f44,plain,
    ( ! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f379,plain,
    ( ! [X2] : inverse(add(inverse(add(X2,X2)),inverse(add(X2,X2)))) = X2
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f66,plain,
    ( ! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f617,plain,
    ( spl0_21
    | ~ spl0_5
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f605,f552,f378,f43,f615]) ).

fof(f554,plain,
    ( spl0_19
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f528,f504,f86,f552]) ).

fof(f504,plain,
    ( spl0_18
  <=> ! [X7] : inverse(add(inverse(add(inverse(X7),X7)),inverse(X7))) = X7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f528,plain,
    ( ! [X3] : inverse(add(X3,inverse(add(inverse(X3),inverse(X3))))) = inverse(X3)
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f87,f505]) ).

fof(f505,plain,
    ( ! [X7] : inverse(add(inverse(add(inverse(X7),X7)),inverse(X7))) = X7
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f507,plain,
    ( spl0_18
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f468,f316,f30,f504]) ).

fof(f30,plain,
    ( spl0_4
  <=> ! [X0] : inverse(X0) = inverse(add(inverse(add(X0,inverse(X0))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f316,plain,
    ( spl0_15
  <=> ! [X13,X14,X15] : inverse(add(inverse(add(X14,X15)),inverse(add(inverse(add(X13,X14)),X15)))) = X15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f468,plain,
    ( ! [X12] : inverse(add(inverse(add(inverse(X12),X12)),inverse(X12))) = X12
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(superposition,[],[f317,f31]) ).

fof(f31,plain,
    ( ! [X0] : inverse(X0) = inverse(add(inverse(add(X0,inverse(X0))),X0))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f317,plain,
    ( ! [X14,X15,X13] : inverse(add(inverse(add(X14,X15)),inverse(add(inverse(add(X13,X14)),X15)))) = X15
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f380,plain,
    ( spl0_16
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f356,f312,f86,f378]) ).

fof(f312,plain,
    ( spl0_14
  <=> ! [X15] : inverse(add(X15,X15)) = inverse(add(inverse(add(X15,inverse(add(X15,X15)))),X15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f356,plain,
    ( ! [X2] : inverse(add(inverse(add(X2,X2)),inverse(add(X2,X2)))) = X2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f87,f313]) ).

fof(f313,plain,
    ( ! [X15] : inverse(add(X15,X15)) = inverse(add(inverse(add(X15,inverse(add(X15,X15)))),X15))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f318,plain,
    ( spl0_15
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f149,f119,f86,f316]) ).

fof(f149,plain,
    ( ! [X14,X15,X13] : inverse(add(inverse(add(X14,X15)),inverse(add(inverse(add(X13,X14)),X15)))) = X15
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f87,f120]) ).

fof(f314,plain,
    ( spl0_14
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f143,f119,f65,f312]) ).

fof(f143,plain,
    ( ! [X15] : inverse(add(X15,X15)) = inverse(add(inverse(add(X15,inverse(add(X15,X15)))),X15))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f120,f66]) ).

fof(f122,plain,
    ( spl0_8
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f94,f86,f65,f119]) ).

fof(f94,plain,
    ( ! [X18,X19] : inverse(add(inverse(add(X18,X19)),inverse(add(inverse(X18),X19)))) = X19
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f87,f66]) ).

fof(f88,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f55,f43,f9,f86]) ).

fof(f55,plain,
    ( ! [X2,X3,X0] : inverse(add(inverse(add(inverse(add(X2,X3)),X0)),inverse(add(X2,X0)))) = X0
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f10,f44]) ).

fof(f67,plain,
    ( spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f54,f43,f65]) ).

fof(f54,plain,
    ( ! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f44,f44]) ).

fof(f45,plain,
    ( spl0_5
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f36,f30,f9,f43]) ).

fof(f36,plain,
    ( ! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f10,f31]) ).

fof(f32,plain,
    ( spl0_4
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f21,f18,f9,f30]) ).

fof(f18,plain,
    ( spl0_3
  <=> ! [X0,X1,X3] : inverse(X0) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X3)),inverse(X0))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f21,plain,
    ( ! [X0] : inverse(X0) = inverse(add(inverse(add(X0,inverse(X0))),X0))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f19,f10]) ).

fof(f19,plain,
    ( ! [X3,X0,X1] : inverse(X0) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X3)),inverse(X0))),X0))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f20,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f9,f18]) ).

fof(f16,plain,
    ( ! [X3,X0,X1] : inverse(X0) = inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X3)),inverse(X0))),X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f10,f10]) ).

fof(f11,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1,f9]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dn1) ).

fof(f7,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f2,f4]) ).

fof(f2,axiom,
    add(b,a) != add(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',huntinton_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 16:05:47 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (1327)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.49  % (1351)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.19/0.49  % (1343)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.19/0.49  % (1337)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.19/0.50  % (1333)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.19/0.50  % (1335)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.50  % (1336)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.50  % (1345)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/257Mi)
% 0.19/0.50  % (1331)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/6Mi)
% 0.19/0.51  % (1332)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.51  % (1348)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.51  % (1350)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.52  % (1344)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.52  % (1328)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/10Mi)
% 0.19/0.52  % (1331)Instruction limit reached!
% 0.19/0.52  % (1331)------------------------------
% 0.19/0.52  % (1331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (1331)Termination reason: Unknown
% 0.19/0.52  % (1331)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (1331)Memory used [KB]: 5628
% 0.19/0.52  % (1331)Time elapsed: 0.112 s
% 0.19/0.52  % (1331)Instructions burned: 6 (million)
% 0.19/0.52  % (1331)------------------------------
% 0.19/0.52  % (1331)------------------------------
% 0.19/0.52  % (1334)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52  % (1328)Instruction limit reached!
% 0.19/0.52  % (1328)------------------------------
% 0.19/0.52  % (1328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (1328)Termination reason: Unknown
% 0.19/0.52  % (1328)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (1328)Memory used [KB]: 5628
% 0.19/0.52  % (1328)Time elapsed: 0.121 s
% 0.19/0.52  % (1328)Instructions burned: 11 (million)
% 0.19/0.52  % (1328)------------------------------
% 0.19/0.52  % (1328)------------------------------
% 0.19/0.52  % (1347)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/103Mi)
% 0.19/0.52  % (1340)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 0.19/0.52  % (1334)Instruction limit reached!
% 0.19/0.52  % (1334)------------------------------
% 0.19/0.52  % (1334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (1334)Termination reason: Unknown
% 0.19/0.52  % (1334)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (1334)Memory used [KB]: 5628
% 0.19/0.52  % (1334)Time elapsed: 0.124 s
% 0.19/0.52  % (1334)Instructions burned: 8 (million)
% 0.19/0.52  % (1334)------------------------------
% 0.19/0.52  % (1334)------------------------------
% 0.19/0.52  % (1349)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.19/0.52  % (1357)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/381Mi)
% 0.19/0.53  % (1333)Instruction limit reached!
% 0.19/0.53  % (1333)------------------------------
% 0.19/0.53  % (1333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1333)Termination reason: Unknown
% 0.19/0.53  % (1333)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (1333)Memory used [KB]: 5884
% 0.19/0.53  % (1333)Time elapsed: 0.131 s
% 0.19/0.53  % (1333)Instructions burned: 22 (million)
% 0.19/0.53  % (1333)------------------------------
% 0.19/0.53  % (1333)------------------------------
% 0.19/0.53  % (1342)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.19/0.53  % (1358)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.53  % (1342)Refutation not found, incomplete strategy% (1342)------------------------------
% 0.19/0.53  % (1342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1342)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (1342)Memory used [KB]: 5373
% 0.19/0.53  % (1342)Time elapsed: 0.132 s
% 0.19/0.53  % (1342)------------------------------
% 0.19/0.53  % (1342)------------------------------
% 0.19/0.53  % (1341)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/353Mi)
% 0.19/0.53  % (1352)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.19/0.53  % (1329)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.54  % (1353)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.54  % (1335)Instruction limit reached!
% 0.19/0.54  % (1335)------------------------------
% 0.19/0.54  % (1335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1335)Termination reason: Unknown
% 0.19/0.54  % (1335)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (1335)Memory used [KB]: 6140
% 0.19/0.54  % (1335)Time elapsed: 0.085 s
% 0.19/0.54  % (1335)Instructions burned: 34 (million)
% 0.19/0.54  % (1335)------------------------------
% 0.19/0.54  % (1335)------------------------------
% 0.19/0.54  % (1337)Instruction limit reached!
% 0.19/0.54  % (1337)------------------------------
% 0.19/0.54  % (1337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1337)Termination reason: Unknown
% 0.19/0.54  % (1337)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (1337)Memory used [KB]: 6396
% 0.19/0.54  % (1337)Time elapsed: 0.136 s
% 0.19/0.54  % (1337)Instructions burned: 48 (million)
% 0.19/0.54  % (1337)------------------------------
% 0.19/0.54  % (1337)------------------------------
% 0.19/0.54  % (1339)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.54  % (1355)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 1.50/0.54  % (1356)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/495Mi)
% 1.50/0.54  % (1346)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.50/0.55  % (1338)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.50/0.55  % (1336)Instruction limit reached!
% 1.50/0.55  % (1336)------------------------------
% 1.50/0.55  % (1336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (1336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (1336)Termination reason: Unknown
% 1.50/0.55  % (1336)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (1336)Memory used [KB]: 10874
% 1.50/0.55  % (1336)Time elapsed: 0.165 s
% 1.50/0.55  % (1336)Instructions burned: 38 (million)
% 1.50/0.55  % (1336)------------------------------
% 1.50/0.55  % (1336)------------------------------
% 1.68/0.57  % (1332)Instruction limit reached!
% 1.68/0.57  % (1332)------------------------------
% 1.68/0.57  % (1332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58  % (1332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58  % (1332)Termination reason: Unknown
% 1.68/0.58  % (1332)Termination phase: Saturation
% 1.68/0.58  
% 1.68/0.58  % (1332)Memory used [KB]: 6908
% 1.68/0.58  % (1332)Time elapsed: 0.173 s
% 1.68/0.58  % (1332)Instructions burned: 49 (million)
% 1.68/0.58  % (1332)------------------------------
% 1.68/0.58  % (1332)------------------------------
% 1.68/0.59  % (1329)Instruction limit reached!
% 1.68/0.59  % (1329)------------------------------
% 1.68/0.59  % (1329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59  % (1329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59  % (1329)Termination reason: Unknown
% 1.68/0.59  % (1329)Termination phase: Saturation
% 1.68/0.59  
% 1.68/0.59  % (1329)Memory used [KB]: 6396
% 1.68/0.59  % (1329)Time elapsed: 0.189 s
% 1.68/0.59  % (1329)Instructions burned: 38 (million)
% 1.68/0.59  % (1329)------------------------------
% 1.68/0.59  % (1329)------------------------------
% 1.68/0.60  % (1344)Instruction limit reached!
% 1.68/0.60  % (1344)------------------------------
% 1.68/0.60  % (1344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60  % (1344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60  % (1344)Termination reason: Unknown
% 1.68/0.60  % (1344)Termination phase: Saturation
% 1.68/0.60  
% 1.68/0.60  % (1344)Memory used [KB]: 6780
% 1.68/0.60  % (1344)Time elapsed: 0.208 s
% 1.68/0.60  % (1344)Instructions burned: 50 (million)
% 1.68/0.60  % (1344)------------------------------
% 1.68/0.60  % (1344)------------------------------
% 1.68/0.60  % (1338)Instruction limit reached!
% 1.68/0.60  % (1338)------------------------------
% 1.68/0.60  % (1338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60  % (1338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60  % (1338)Termination reason: Unknown
% 1.68/0.60  % (1338)Termination phase: Saturation
% 1.68/0.60  
% 1.68/0.60  % (1338)Memory used [KB]: 6396
% 1.68/0.60  % (1338)Time elapsed: 0.188 s
% 1.68/0.60  % (1338)Instructions burned: 38 (million)
% 1.68/0.60  % (1338)------------------------------
% 1.68/0.60  % (1338)------------------------------
% 1.68/0.61  % (1358)Instruction limit reached!
% 1.68/0.61  % (1358)------------------------------
% 1.68/0.61  % (1358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.61  % (1358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.61  % (1358)Termination reason: Unknown
% 1.68/0.61  % (1358)Termination phase: Saturation
% 1.68/0.61  
% 1.68/0.61  % (1358)Memory used [KB]: 6780
% 1.68/0.61  % (1358)Time elapsed: 0.221 s
% 1.68/0.61  % (1358)Instructions burned: 49 (million)
% 1.68/0.61  % (1358)------------------------------
% 1.68/0.61  % (1358)------------------------------
% 1.68/0.62  % (1339)Instruction limit reached!
% 1.68/0.62  % (1339)------------------------------
% 1.68/0.62  % (1339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62  % (1339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.62  % (1339)Termination reason: Unknown
% 1.68/0.62  % (1339)Termination phase: Saturation
% 1.68/0.62  
% 1.68/0.62  % (1339)Memory used [KB]: 6652
% 1.68/0.62  % (1339)Time elapsed: 0.185 s
% 1.68/0.62  % (1339)Instructions burned: 48 (million)
% 1.68/0.62  % (1339)------------------------------
% 1.68/0.62  % (1339)------------------------------
% 1.68/0.62  % (1446)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 2.16/0.64  % (1450)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/292Mi)
% 2.16/0.66  % (1456)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=402:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/402Mi)
% 2.16/0.67  % (1464)lrs+10_1:512_av=off:awrs=converge:awrsf=8:bd=preordered:br=off:bsr=unit_only:drc=off:erd=off:foolp=on:fsd=on:gve=cautious:irw=on:kmz=on:kws=arity_squared:lcm=reverse:newcnf=on:nwc=5.0:plsq=on:plsqc=2:plsql=on:plsqr=9798671,477100:slsq=on:slsqc=1:slsqr=1,16:sp=weighted_frequency:spb=intro:tgt=full:updr=off:urr=on:uwa=ground:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/496Mi)
% 2.33/0.67  % (1453)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 2.33/0.67  % (1351)Instruction limit reached!
% 2.33/0.67  % (1351)------------------------------
% 2.33/0.67  % (1351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67  % (1351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.67  % (1351)Termination reason: Unknown
% 2.33/0.67  % (1351)Termination phase: Saturation
% 2.33/0.67  
% 2.33/0.67  % (1351)Memory used [KB]: 8059
% 2.33/0.67  % (1351)Time elapsed: 0.236 s
% 2.33/0.67  % (1351)Instructions burned: 112 (million)
% 2.33/0.67  % (1351)------------------------------
% 2.33/0.67  % (1351)------------------------------
% 2.33/0.67  % (1449)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/463Mi)
% 2.33/0.67  % (1465)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=312:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/312Mi)
% 2.33/0.68  % (1471)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/248Mi)
% 2.33/0.69  % (1480)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/177Mi)
% 2.33/0.71  % (1347)Instruction limit reached!
% 2.33/0.71  % (1347)------------------------------
% 2.33/0.71  % (1347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.71  % (1347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.71  % (1347)Termination reason: Unknown
% 2.33/0.71  % (1347)Termination phase: Saturation
% 2.33/0.71  
% 2.33/0.71  % (1347)Memory used [KB]: 6780
% 2.33/0.71  % (1347)Time elapsed: 0.311 s
% 2.33/0.71  % (1347)Instructions burned: 105 (million)
% 2.33/0.71  % (1347)------------------------------
% 2.33/0.71  % (1347)------------------------------
% 2.33/0.71  % (1485)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=1598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1598Mi)
% 2.33/0.73  % (1486)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/381Mi)
% 2.68/0.73  % (1487)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1242Mi)
% 2.68/0.75  % (1488)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=629:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/629Mi)
% 2.68/0.75  % (1489)lrs+10_2:1_bd=preordered:bsr=unit_only:drc=off:fd=preordered:fde=none:lwlo=on:sp=reverse_frequency:ss=axioms:st=3.0:to=lpo:i=1575:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1575Mi)
% 2.80/0.77  % (1340)First to succeed.
% 2.80/0.78  % (1340)Refutation found. Thanks to Tanya!
% 2.80/0.78  % SZS status Unsatisfiable for theBenchmark
% 2.80/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 2.80/0.78  % (1340)------------------------------
% 2.80/0.78  % (1340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.78  % (1340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.78  % (1340)Termination reason: Refutation
% 2.80/0.78  
% 2.80/0.78  % (1340)Memory used [KB]: 8699
% 2.80/0.78  % (1340)Time elapsed: 0.384 s
% 2.80/0.78  % (1340)Instructions burned: 193 (million)
% 2.80/0.78  % (1340)------------------------------
% 2.80/0.78  % (1340)------------------------------
% 2.80/0.78  % (1324)Success in time 0.423 s
%------------------------------------------------------------------------------