TSTP Solution File: GRP408-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP408-1 : 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 : n007.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 16:15:44 EDT 2022

% Result   : Unsatisfiable 6.35s 1.17s
% Output   : Refutation 6.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  115 (   5 unt;   0 def)
%            Number of atoms       :  291 (  87 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  328 ( 152   ~; 151   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :   27 (  25 usr;  26 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  235 ( 235   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3557,plain,
    $false,
    inference(avatar_sat_refutation,[],[f7,f11,f17,f46,f64,f100,f131,f202,f800,f948,f1127,f1390,f1499,f1728,f1953,f2080,f2235,f2274,f2313,f2337,f2389,f2425,f2449,f2562,f2840,f3556]) ).

fof(f3556,plain,
    ( spl0_1
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f3555]) ).

fof(f3555,plain,
    ( $false
    | spl0_1
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f3546]) ).

fof(f3546,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | spl0_1
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(backward_demodulation,[],[f6,f3027]) ).

fof(f3027,plain,
    ( ! [X8,X9,X7] : multiply(X8,multiply(X7,X9)) = multiply(multiply(X8,X7),X9)
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f3026,f2424]) ).

fof(f2424,plain,
    ( ! [X18] : inverse(inverse(X18)) = X18
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f2423]) ).

fof(f2423,plain,
    ( spl0_32
  <=> ! [X18] : inverse(inverse(X18)) = X18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3026,plain,
    ( ! [X8,X9,X7] : multiply(X8,multiply(X7,X9)) = multiply(inverse(inverse(multiply(X8,X7))),X9)
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f3007,f2424]) ).

fof(f3007,plain,
    ( ! [X8,X9,X7] : multiply(inverse(inverse(multiply(X8,X7))),X9) = multiply(inverse(inverse(X8)),multiply(X7,X9))
    | ~ spl0_27
    | ~ spl0_46 ),
    inference(superposition,[],[f2234,f2839]) ).

fof(f2839,plain,
    ( ! [X6,X7] : inverse(X6) = multiply(X7,inverse(multiply(X6,X7)))
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f2838]) ).

fof(f2838,plain,
    ( spl0_46
  <=> ! [X6,X7] : inverse(X6) = multiply(X7,inverse(multiply(X6,X7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2234,plain,
    ( ! [X3,X0,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,X1)) = multiply(inverse(X0),X1)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f2233]) ).

fof(f2233,plain,
    ( spl0_27
  <=> ! [X0,X1,X3] : multiply(inverse(multiply(X3,X0)),multiply(X3,X1)) = multiply(inverse(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f6,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f4]) ).

fof(f4,plain,
    ( spl0_1
  <=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2840,plain,
    ( spl0_46
    | ~ spl0_32
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2696,f2560,f2423,f2838]) ).

fof(f2560,plain,
    ( spl0_38
  <=> ! [X1,X3] : inverse(X3) = multiply(inverse(multiply(X1,X3)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2696,plain,
    ( ! [X6,X7] : inverse(X6) = multiply(X7,inverse(multiply(X6,X7)))
    | ~ spl0_32
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f2670,f2424]) ).

fof(f2670,plain,
    ( ! [X6,X7] : inverse(X6) = multiply(inverse(inverse(X7)),inverse(multiply(X6,X7)))
    | ~ spl0_38 ),
    inference(superposition,[],[f2561,f2561]) ).

fof(f2561,plain,
    ( ! [X3,X1] : inverse(X3) = multiply(inverse(multiply(X1,X3)),X1)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f2560]) ).

fof(f2562,plain,
    ( spl0_38
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2467,f2446,f2233,f2560]) ).

fof(f2446,plain,
    ( spl0_33
  <=> ! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2467,plain,
    ( ! [X3,X1] : inverse(X3) = multiply(inverse(multiply(X1,X3)),X1)
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f2459,f2447]) ).

fof(f2447,plain,
    ( ! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f2446]) ).

fof(f2459,plain,
    ( ! [X2,X3,X1] : multiply(inverse(multiply(X1,X3)),X1) = multiply(inverse(X3),multiply(inverse(X2),X2))
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(superposition,[],[f2234,f2447]) ).

fof(f2449,plain,
    ( spl0_33
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2394,f2386,f1725,f2446]) ).

fof(f1725,plain,
    ( spl0_23
  <=> ! [X9,X8] : multiply(inverse(X8),X8) = multiply(inverse(X9),X9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2386,plain,
    ( spl0_31
  <=> ! [X6,X7] : multiply(X6,multiply(inverse(X6),X7)) = X7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2394,plain,
    ( ! [X2,X3] : multiply(X2,multiply(inverse(X3),X3)) = X2
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(superposition,[],[f2387,f1726]) ).

fof(f1726,plain,
    ( ! [X8,X9] : multiply(inverse(X8),X8) = multiply(inverse(X9),X9)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f1725]) ).

fof(f2387,plain,
    ( ! [X6,X7] : multiply(X6,multiply(inverse(X6),X7)) = X7
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f2386]) ).

fof(f2425,plain,
    ( spl0_32
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2406,f2386,f2272,f2423]) ).

fof(f2272,plain,
    ( spl0_28
  <=> ! [X41,X40] : inverse(multiply(inverse(X41),multiply(inverse(X40),X40))) = X41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2406,plain,
    ( ! [X18] : inverse(inverse(X18)) = X18
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(superposition,[],[f2273,f2387]) ).

fof(f2273,plain,
    ( ! [X40,X41] : inverse(multiply(inverse(X41),multiply(inverse(X40),X40))) = X41
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f2272]) ).

fof(f2389,plain,
    ( spl0_31
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f2360,f2335,f2311,f2386]) ).

fof(f2311,plain,
    ( spl0_29
  <=> ! [X13,X15] : multiply(inverse(X13),multiply(X13,X15)) = X15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2335,plain,
    ( spl0_30
  <=> ! [X14,X15] : multiply(X14,X15) = multiply(inverse(inverse(X14)),X15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2360,plain,
    ( ! [X40,X41] : multiply(X40,multiply(inverse(X40),X41)) = X41
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(superposition,[],[f2312,f2336]) ).

fof(f2336,plain,
    ( ! [X14,X15] : multiply(X14,X15) = multiply(inverse(inverse(X14)),X15)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f2335]) ).

fof(f2312,plain,
    ( ! [X15,X13] : multiply(inverse(X13),multiply(X13,X15)) = X15
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f2311]) ).

fof(f2337,plain,
    ( spl0_30
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f2322,f2311,f2335]) ).

fof(f2322,plain,
    ( ! [X14,X15] : multiply(X14,X15) = multiply(inverse(inverse(X14)),X15)
    | ~ spl0_29 ),
    inference(superposition,[],[f2312,f2312]) ).

fof(f2313,plain,
    ( spl0_29
    | ~ spl0_2
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2307,f2272,f2233,f9,f2311]) ).

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

fof(f2307,plain,
    ( ! [X15,X13] : multiply(inverse(X13),multiply(X13,X15)) = X15
    | ~ spl0_2
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f2306,f2273]) ).

fof(f2306,plain,
    ( ! [X14,X15,X13] : multiply(inverse(X13),inverse(multiply(inverse(multiply(X13,X15)),multiply(inverse(multiply(inverse(X14),X14)),multiply(inverse(X14),X14))))) = X15
    | ~ spl0_2
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f2292,f2234]) ).

fof(f2292,plain,
    ( ! [X14,X15,X13] : multiply(inverse(X13),inverse(multiply(inverse(multiply(X13,X15)),multiply(inverse(multiply(inverse(X14),X14)),multiply(inverse(multiply(inverse(X14),X14)),multiply(inverse(X14),X14)))))) = X15
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(superposition,[],[f10,f2273]) ).

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

fof(f2274,plain,
    ( spl0_28
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2270,f2233,f15,f9,f2272]) ).

fof(f15,plain,
    ( spl0_3
  <=> ! [X0,X3,X2,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2270,plain,
    ( ! [X40,X41] : inverse(multiply(inverse(X41),multiply(inverse(X40),X40))) = X41
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f2269,f2234]) ).

fof(f2269,plain,
    ( ! [X40,X41] : inverse(multiply(inverse(multiply(inverse(X40),X41)),multiply(inverse(X40),multiply(inverse(X40),X40)))) = X41
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f2262,f10]) ).

fof(f2262,plain,
    ( ! [X40,X38,X41,X39] : inverse(multiply(inverse(multiply(inverse(X40),X41)),multiply(inverse(X40),multiply(inverse(X40),X40)))) = multiply(X38,inverse(multiply(inverse(multiply(inverse(multiply(X38,X39)),X41)),multiply(inverse(X39),multiply(inverse(X39),X39)))))
    | ~ spl0_3
    | ~ spl0_27 ),
    inference(superposition,[],[f16,f2234]) ).

fof(f16,plain,
    ( ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f2235,plain,
    ( spl0_27
    | ~ spl0_8
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2218,f2071,f1725,f199,f2233]) ).

fof(f199,plain,
    ( spl0_8
  <=> ! [X0,X3,X2,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))))) = multiply(inverse(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2071,plain,
    ( spl0_25
  <=> ! [X9,X10] : inverse(multiply(inverse(multiply(X10,X9)),multiply(X10,multiply(inverse(X9),X9)))) = X9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2218,plain,
    ( ! [X3,X0,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,X1)) = multiply(inverse(X0),X1)
    | ~ spl0_8
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(backward_demodulation,[],[f200,f2127]) ).

fof(f2127,plain,
    ( ! [X56,X57,X55] : inverse(multiply(inverse(multiply(X57,X55)),multiply(X57,multiply(inverse(X56),X56)))) = X55
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(superposition,[],[f2072,f1726]) ).

fof(f2072,plain,
    ( ! [X10,X9] : inverse(multiply(inverse(multiply(X10,X9)),multiply(X10,multiply(inverse(X9),X9)))) = X9
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f2071]) ).

fof(f200,plain,
    ( ! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))))) = multiply(inverse(X0),X1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f2080,plain,
    ( spl0_25
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f2018,f1950,f944,f2071]) ).

fof(f944,plain,
    ( spl0_15
  <=> ! [X10,X11,X13,X12] : inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,multiply(inverse(X10),X10)))) = inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,multiply(inverse(X10),X10)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1950,plain,
    ( spl0_24
  <=> ! [X134,X135] : inverse(multiply(inverse(multiply(inverse(X135),X135)),multiply(inverse(X134),multiply(inverse(X134),X134)))) = X134 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2018,plain,
    ( ! [X11,X12] : inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,multiply(inverse(X11),X11)))) = X11
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(superposition,[],[f945,f1951]) ).

fof(f1951,plain,
    ( ! [X134,X135] : inverse(multiply(inverse(multiply(inverse(X135),X135)),multiply(inverse(X134),multiply(inverse(X134),X134)))) = X134
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f1950]) ).

fof(f945,plain,
    ( ! [X10,X11,X12,X13] : inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,multiply(inverse(X10),X10)))) = inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,multiply(inverse(X10),X10))))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f1953,plain,
    ( spl0_24
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1888,f1725,f98,f1950]) ).

fof(f98,plain,
    ( spl0_6
  <=> ! [X9,X11,X10] : inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X9,X11))),multiply(inverse(X10),multiply(inverse(X10),X10)))) = X11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1888,plain,
    ( ! [X134,X135] : inverse(multiply(inverse(multiply(inverse(X135),X135)),multiply(inverse(X134),multiply(inverse(X134),X134)))) = X134
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(superposition,[],[f99,f1726]) ).

fof(f99,plain,
    ( ! [X10,X11,X9] : inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X9,X11))),multiply(inverse(X10),multiply(inverse(X10),X10)))) = X11
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f1728,plain,
    ( spl0_23
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1536,f1497,f1725]) ).

fof(f1497,plain,
    ( spl0_22
  <=> ! [X45,X44,X43] : multiply(inverse(multiply(X45,multiply(inverse(X43),multiply(inverse(X43),X43)))),multiply(X45,multiply(inverse(X43),multiply(inverse(X43),X43)))) = multiply(inverse(X44),X44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1536,plain,
    ( ! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3)
    | ~ spl0_22 ),
    inference(superposition,[],[f1498,f1498]) ).

fof(f1498,plain,
    ( ! [X44,X45,X43] : multiply(inverse(multiply(X45,multiply(inverse(X43),multiply(inverse(X43),X43)))),multiply(X45,multiply(inverse(X43),multiply(inverse(X43),X43)))) = multiply(inverse(X44),X44)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f1497]) ).

fof(f1499,plain,
    ( spl0_22
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1452,f1388,f1125,f1497]) ).

fof(f1125,plain,
    ( spl0_16
  <=> ! [X10,X9,X7,X6,X8] : multiply(inverse(multiply(X10,multiply(inverse(X7),multiply(inverse(X7),X7)))),multiply(X10,X9)) = multiply(X8,multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X6,X8))),X9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1388,plain,
    ( spl0_21
  <=> ! [X292,X291,X290] : multiply(inverse(multiply(inverse(multiply(X291,X292)),multiply(X291,inverse(X290)))),multiply(inverse(X292),multiply(inverse(X292),X292))) = X290 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1452,plain,
    ( ! [X44,X45,X43] : multiply(inverse(multiply(X45,multiply(inverse(X43),multiply(inverse(X43),X43)))),multiply(X45,multiply(inverse(X43),multiply(inverse(X43),X43)))) = multiply(inverse(X44),X44)
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(superposition,[],[f1126,f1389]) ).

fof(f1389,plain,
    ( ! [X291,X290,X292] : multiply(inverse(multiply(inverse(multiply(X291,X292)),multiply(X291,inverse(X290)))),multiply(inverse(X292),multiply(inverse(X292),X292))) = X290
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1126,plain,
    ( ! [X10,X8,X6,X9,X7] : multiply(inverse(multiply(X10,multiply(inverse(X7),multiply(inverse(X7),X7)))),multiply(X10,X9)) = multiply(X8,multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X6,X8))),X9))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1390,plain,
    ( spl0_21
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1386,f1125,f199,f44,f1388]) ).

fof(f44,plain,
    ( spl0_4
  <=> ! [X0,X1,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1386,plain,
    ( ! [X291,X290,X292] : multiply(inverse(multiply(inverse(multiply(X291,X292)),multiply(X291,inverse(X290)))),multiply(inverse(X292),multiply(inverse(X292),X292))) = X290
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1377,f200]) ).

fof(f1377,plain,
    ( ! [X291,X290,X294,X293,X292] : multiply(inverse(multiply(X294,multiply(inverse(multiply(X291,X292)),multiply(X291,inverse(X290))))),multiply(X294,inverse(multiply(inverse(multiply(X293,multiply(inverse(X292),multiply(inverse(X292),X292)))),multiply(X293,multiply(inverse(multiply(inverse(multiply(X291,X292)),multiply(X291,inverse(X290)))),multiply(inverse(multiply(X291,X292)),multiply(X291,inverse(X290))))))))) = X290
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f45,f1126]) ).

fof(f45,plain,
    ( ! [X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f1127,plain,
    ( spl0_16
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f138,f129,f98,f1125]) ).

fof(f129,plain,
    ( spl0_7
  <=> ! [X18,X20,X17,X19] : multiply(inverse(multiply(X20,X18)),multiply(X20,X19)) = multiply(inverse(multiply(X17,X18)),multiply(X17,X19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f138,plain,
    ( ! [X10,X8,X6,X9,X7] : multiply(inverse(multiply(X10,multiply(inverse(X7),multiply(inverse(X7),X7)))),multiply(X10,X9)) = multiply(X8,multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X6,X8))),X9))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f130,f99]) ).

fof(f130,plain,
    ( ! [X18,X19,X17,X20] : multiply(inverse(multiply(X20,X18)),multiply(X20,X19)) = multiply(inverse(multiply(X17,X18)),multiply(X17,X19))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f948,plain,
    ( spl0_15
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f874,f798,f944]) ).

fof(f798,plain,
    ( spl0_14
  <=> ! [X16,X14,X15] : inverse(multiply(inverse(multiply(X15,X16)),multiply(X15,multiply(inverse(X14),X14)))) = inverse(multiply(inverse(multiply(inverse(X14),X16)),multiply(inverse(X14),multiply(inverse(X14),X14)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f874,plain,
    ( ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X0),X0))))
    | ~ spl0_14 ),
    inference(superposition,[],[f799,f799]) ).

fof(f799,plain,
    ( ! [X16,X14,X15] : inverse(multiply(inverse(multiply(X15,X16)),multiply(X15,multiply(inverse(X14),X14)))) = inverse(multiply(inverse(multiply(inverse(X14),X16)),multiply(inverse(X14),multiply(inverse(X14),X14))))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f800,plain,
    ( spl0_14
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f235,f199,f98,f798]) ).

fof(f235,plain,
    ( ! [X16,X14,X15] : inverse(multiply(inverse(multiply(X15,X16)),multiply(X15,multiply(inverse(X14),X14)))) = inverse(multiply(inverse(multiply(inverse(X14),X16)),multiply(inverse(X14),multiply(inverse(X14),X14))))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f99,f200]) ).

fof(f202,plain,
    ( spl0_8
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f179,f129,f44,f199]) ).

fof(f179,plain,
    ( ! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))))) = multiply(inverse(X0),X1)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f45,f130]) ).

fof(f131,plain,
    ( spl0_7
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f117,f98,f44,f129]) ).

fof(f117,plain,
    ( ! [X18,X19,X17,X20] : multiply(inverse(multiply(X20,X18)),multiply(X20,X19)) = multiply(inverse(multiply(X17,X18)),multiply(X17,X19))
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f45,f99]) ).

fof(f100,plain,
    ( spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f74,f61,f98]) ).

fof(f61,plain,
    ( spl0_5
  <=> ! [X0,X3,X2,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f74,plain,
    ( ! [X10,X11,X9] : inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X9,X11))),multiply(inverse(X10),multiply(inverse(X10),X10)))) = X11
    | ~ spl0_5 ),
    inference(superposition,[],[f62,f62]) ).

fof(f62,plain,
    ( ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = X2
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f64,plain,
    ( spl0_5
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f39,f15,f9,f61]) ).

fof(f39,plain,
    ( ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = X2
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f10,f16]) ).

fof(f46,plain,
    ( spl0_4
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f35,f15,f9,f44]) ).

fof(f35,plain,
    ( ! [X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X3
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f10,f16]) ).

fof(f17,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f13,f9,f15]) ).

fof(f13,plain,
    ( ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f10,f10]) ).

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

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

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

fof(f2,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP408-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:13:00 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (16608)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)
% 0.20/0.53  % (16603)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.20/0.55  % (16612)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)
% 0.20/0.56  % (16633)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)
% 0.20/0.56  % (16618)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)
% 0.20/0.56  % (16614)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)
% 0.20/0.56  % (16615)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)
% 0.20/0.57  % (16613)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)
% 0.20/0.57  % (16627)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)
% 0.20/0.57  % (16604)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)
% 0.20/0.57  % (16616)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)
% 0.20/0.57  % (16610)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 1.53/0.58  % (16609)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)
% 1.53/0.58  % (16605)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)
% 1.53/0.58  % (16607)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)
% 1.53/0.58  % (16608)Instruction limit reached!
% 1.53/0.58  % (16608)------------------------------
% 1.53/0.58  % (16608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (16609)Instruction limit reached!
% 1.53/0.58  % (16609)------------------------------
% 1.53/0.58  % (16609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (16609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58  % (16609)Termination reason: Unknown
% 1.53/0.58  % (16609)Termination phase: Saturation
% 1.53/0.58  
% 1.53/0.58  % (16609)Memory used [KB]: 5628
% 1.53/0.58  % (16609)Time elapsed: 0.168 s
% 1.53/0.58  % (16609)Instructions burned: 8 (million)
% 1.53/0.58  % (16609)------------------------------
% 1.53/0.58  % (16609)------------------------------
% 1.53/0.59  % (16608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (16608)Termination reason: Unknown
% 1.53/0.59  % (16608)Termination phase: Saturation
% 1.53/0.59  
% 1.53/0.59  % (16608)Memory used [KB]: 5756
% 1.53/0.59  % (16608)Time elapsed: 0.149 s
% 1.53/0.59  % (16608)Instructions burned: 21 (million)
% 1.53/0.59  % (16608)------------------------------
% 1.53/0.59  % (16608)------------------------------
% 1.53/0.59  % (16611)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)
% 1.53/0.59  % (16631)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)
% 1.53/0.59  % (16625)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)
% 1.53/0.59  % (16626)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)
% 1.53/0.60  % (16606)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)
% 1.53/0.60  % (16604)Instruction limit reached!
% 1.53/0.60  % (16604)------------------------------
% 1.53/0.60  % (16604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (16604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (16604)Termination reason: Unknown
% 1.53/0.60  % (16604)Termination phase: Saturation
% 1.53/0.60  
% 1.53/0.60  % (16604)Memory used [KB]: 5628
% 1.53/0.60  % (16604)Time elapsed: 0.182 s
% 1.53/0.60  % (16604)Instructions burned: 10 (million)
% 1.53/0.60  % (16604)------------------------------
% 1.53/0.60  % (16604)------------------------------
% 1.53/0.60  % (16629)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)
% 1.53/0.60  % (16606)Instruction limit reached!
% 1.53/0.60  % (16606)------------------------------
% 1.53/0.60  % (16606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (16606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (16606)Termination reason: Unknown
% 1.53/0.60  % (16606)Termination phase: Saturation
% 1.53/0.60  
% 1.53/0.60  % (16606)Memory used [KB]: 5628
% 1.53/0.60  % (16606)Time elapsed: 0.186 s
% 1.53/0.60  % (16606)Instructions burned: 7 (million)
% 1.53/0.60  % (16606)------------------------------
% 1.53/0.60  % (16606)------------------------------
% 1.94/0.60  % (16619)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)
% 1.94/0.60  % (16628)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)
% 1.94/0.60  % (16620)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)
% 1.94/0.60  % (16623)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)
% 1.94/0.60  % (16617)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)
% 1.94/0.60  % (16617)Refutation not found, incomplete strategy% (16617)------------------------------
% 1.94/0.60  % (16617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60  % (16617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60  % (16617)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.60  
% 1.94/0.60  % (16617)Memory used [KB]: 5373
% 1.94/0.60  % (16617)Time elapsed: 0.183 s
% 1.94/0.60  % (16617)Instructions burned: 1 (million)
% 1.94/0.60  % (16617)------------------------------
% 1.94/0.60  % (16617)------------------------------
% 1.94/0.61  % (16624)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 1.94/0.61  % (16630)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)
% 1.94/0.61  % (16621)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)
% 1.94/0.62  % (16632)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)
% 1.94/0.62  % (16612)Instruction limit reached!
% 1.94/0.62  % (16612)------------------------------
% 1.94/0.62  % (16612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (16612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (16612)Termination reason: Unknown
% 1.94/0.62  % (16612)Termination phase: Saturation
% 1.94/0.62  
% 1.94/0.62  % (16612)Memory used [KB]: 6140
% 1.94/0.62  % (16612)Time elapsed: 0.211 s
% 1.94/0.62  % (16612)Instructions burned: 46 (million)
% 1.94/0.62  % (16612)------------------------------
% 1.94/0.62  % (16612)------------------------------
% 1.94/0.63  % (16633)Instruction limit reached!
% 1.94/0.63  % (16633)------------------------------
% 1.94/0.63  % (16633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.63  % (16633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.63  % (16633)Termination reason: Unknown
% 1.94/0.63  % (16633)Termination phase: Saturation
% 1.94/0.63  
% 1.94/0.63  % (16633)Memory used [KB]: 6780
% 1.94/0.63  % (16633)Time elapsed: 0.182 s
% 1.94/0.63  % (16633)Instructions burned: 49 (million)
% 1.94/0.63  % (16633)------------------------------
% 1.94/0.63  % (16633)------------------------------
% 1.94/0.65  % (16610)Instruction limit reached!
% 1.94/0.65  % (16610)------------------------------
% 1.94/0.65  % (16610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65  % (16610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65  % (16610)Termination reason: Unknown
% 1.94/0.65  % (16610)Termination phase: Saturation
% 1.94/0.65  
% 1.94/0.65  % (16610)Memory used [KB]: 5884
% 1.94/0.65  % (16610)Time elapsed: 0.169 s
% 1.94/0.65  % (16610)Instructions burned: 33 (million)
% 1.94/0.65  % (16610)------------------------------
% 1.94/0.65  % (16610)------------------------------
% 1.94/0.66  % (16613)Instruction limit reached!
% 1.94/0.66  % (16613)------------------------------
% 1.94/0.66  % (16613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (16613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (16613)Termination reason: Unknown
% 1.94/0.66  % (16613)Termination phase: Saturation
% 1.94/0.66  
% 1.94/0.66  % (16613)Memory used [KB]: 6268
% 1.94/0.66  % (16613)Time elapsed: 0.231 s
% 1.94/0.66  % (16613)Instructions burned: 37 (million)
% 1.94/0.66  % (16613)------------------------------
% 1.94/0.66  % (16613)------------------------------
% 1.94/0.67  % (16611)Instruction limit reached!
% 1.94/0.67  % (16611)------------------------------
% 1.94/0.67  % (16611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.67  % (16611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.67  % (16611)Termination reason: Unknown
% 1.94/0.67  % (16611)Termination phase: Saturation
% 1.94/0.67  
% 1.94/0.67  % (16611)Memory used [KB]: 11001
% 1.94/0.67  % (16611)Time elapsed: 0.222 s
% 1.94/0.67  % (16611)Instructions burned: 37 (million)
% 1.94/0.67  % (16611)------------------------------
% 1.94/0.67  % (16611)------------------------------
% 2.53/0.69  % (16619)Instruction limit reached!
% 2.53/0.69  % (16619)------------------------------
% 2.53/0.69  % (16619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.69  % (16619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.69  % (16619)Termination reason: Unknown
% 2.53/0.69  % (16619)Termination phase: Saturation
% 2.53/0.69  
% 2.53/0.69  % (16619)Memory used [KB]: 6780
% 2.53/0.69  % (16619)Time elapsed: 0.257 s
% 2.53/0.69  % (16619)Instructions burned: 49 (million)
% 2.53/0.69  % (16619)------------------------------
% 2.53/0.69  % (16619)------------------------------
% 2.53/0.69  % (16614)Instruction limit reached!
% 2.53/0.69  % (16614)------------------------------
% 2.53/0.69  % (16614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.69  % (16614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.69  % (16614)Termination reason: Unknown
% 2.53/0.69  % (16614)Termination phase: Saturation
% 2.53/0.69  
% 2.53/0.69  % (16614)Memory used [KB]: 6652
% 2.53/0.69  % (16614)Time elapsed: 0.236 s
% 2.53/0.69  % (16614)Instructions burned: 49 (million)
% 2.53/0.69  % (16614)------------------------------
% 2.53/0.69  % (16614)------------------------------
% 2.53/0.69  % (16607)Instruction limit reached!
% 2.53/0.69  % (16607)------------------------------
% 2.53/0.69  % (16607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.69  % (16607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.69  % (16607)Termination reason: Unknown
% 2.53/0.69  % (16607)Termination phase: Saturation
% 2.53/0.69  
% 2.53/0.69  % (16607)Memory used [KB]: 6780
% 2.53/0.69  % (16607)Time elapsed: 0.226 s
% 2.53/0.69  % (16607)Instructions burned: 48 (million)
% 2.53/0.69  % (16607)------------------------------
% 2.53/0.69  % (16607)------------------------------
% 2.53/0.70  % (16605)Instruction limit reached!
% 2.53/0.70  % (16605)------------------------------
% 2.53/0.70  % (16605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.70  % (16605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.70  % (16605)Termination reason: Unknown
% 2.53/0.70  % (16605)Termination phase: Saturation
% 2.53/0.70  
% 2.53/0.70  % (16605)Memory used [KB]: 6140
% 2.53/0.70  % (16605)Time elapsed: 0.267 s
% 2.53/0.70  % (16605)Instructions burned: 38 (million)
% 2.53/0.70  % (16605)------------------------------
% 2.53/0.70  % (16605)------------------------------
% 2.53/0.76  % (16671)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 (2997ds/496Mi)
% 3.00/0.79  % (16627)Instruction limit reached!
% 3.00/0.79  % (16627)------------------------------
% 3.00/0.79  % (16627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.79  % (16627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.79  % (16627)Termination reason: Unknown
% 3.00/0.79  % (16627)Termination phase: Saturation
% 3.00/0.79  
% 3.00/0.79  % (16627)Memory used [KB]: 7803
% 3.00/0.79  % (16627)Time elapsed: 0.300 s
% 3.00/0.79  % (16627)Instructions burned: 111 (million)
% 3.00/0.79  % (16627)------------------------------
% 3.00/0.79  % (16627)------------------------------
% 3.00/0.79  % (16670)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 (2997ds/402Mi)
% 3.06/0.80  % (16666)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 (2997ds/257Mi)
% 3.14/0.87  % (16672)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 (2997ds/312Mi)
% 3.14/0.87  % (16678)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 (2996ds/381Mi)
% 3.49/0.90  % (16668)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 (2997ds/292Mi)
% 3.49/0.90  % (16673)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)
% 3.49/0.90  % (16623)Instruction limit reached!
% 3.49/0.90  % (16623)------------------------------
% 3.49/0.90  % (16623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.90  % (16623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.90  % (16623)Termination reason: Unknown
% 3.49/0.90  % (16623)Termination phase: Saturation
% 3.49/0.90  
% 3.49/0.90  % (16623)Memory used [KB]: 6780
% 3.49/0.90  % (16623)Time elapsed: 0.471 s
% 3.49/0.90  % (16623)Instructions burned: 103 (million)
% 3.49/0.90  % (16623)------------------------------
% 3.49/0.90  % (16623)------------------------------
% 3.49/0.91  % (16669)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 (2997ds/439Mi)
% 3.49/0.92  % (16675)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 (2996ds/1598Mi)
% 3.49/0.93  % (16667)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 (2997ds/463Mi)
% 3.49/0.94  % (16629)Instruction limit reached!
% 3.49/0.94  % (16629)------------------------------
% 3.49/0.94  % (16629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.94  % (16629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.94  % (16629)Termination reason: Unknown
% 3.49/0.94  % (16629)Termination phase: Saturation
% 3.49/0.94  
% 3.49/0.94  % (16629)Memory used [KB]: 9210
% 3.49/0.94  % (16629)Time elapsed: 0.523 s
% 3.49/0.94  % (16629)Instructions burned: 177 (million)
% 3.49/0.94  % (16629)------------------------------
% 3.49/0.94  % (16629)------------------------------
% 3.49/0.96  % (16618)Instruction limit reached!
% 3.49/0.96  % (16618)------------------------------
% 3.49/0.96  % (16618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.96  % (16618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.96  % (16618)Termination reason: Unknown
% 3.49/0.96  % (16618)Termination phase: Saturation
% 3.49/0.96  
% 3.49/0.96  % (16618)Memory used [KB]: 10106
% 3.49/0.96  % (16618)Time elapsed: 0.480 s
% 3.49/0.96  % (16618)Instructions burned: 212 (million)
% 3.49/0.96  % (16618)------------------------------
% 3.49/0.96  % (16618)------------------------------
% 3.49/0.96  % (16687)lrs+10_1:8_anc=all_dependent:atotf=0.2:drc=off:fde=unused:nicw=on:nwc=3.0:sas=z3:slsq=on:slsqc=1:slsqr=3,2:sp=reverse_frequency:i=4955:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4955Mi)
% 3.84/1.01  % (16680)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 (2996ds/629Mi)
% 3.84/1.01  % (16674)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 (2996ds/177Mi)
% 3.84/1.04  % (16620)Instruction limit reached!
% 3.84/1.04  % (16620)------------------------------
% 3.84/1.04  % (16620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.04  % (16620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.04  % (16620)Termination reason: Unknown
% 3.84/1.04  % (16620)Termination phase: Saturation
% 3.84/1.04  
% 3.84/1.04  % (16620)Memory used [KB]: 9210
% 3.84/1.04  % (16620)Time elapsed: 0.547 s
% 3.84/1.04  % (16620)Instructions burned: 257 (million)
% 3.84/1.04  % (16620)------------------------------
% 3.84/1.04  % (16620)------------------------------
% 3.84/1.06  % (16679)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1242Mi)
% 3.84/1.07  % (16630)Instruction limit reached!
% 3.84/1.07  % (16630)------------------------------
% 3.84/1.07  % (16630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.07  % (16630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.07  % (16630)Termination reason: Unknown
% 3.84/1.07  % (16630)Termination phase: Saturation
% 3.84/1.07  
% 3.84/1.07  % (16630)Memory used [KB]: 5884
% 3.84/1.07  % (16630)Time elapsed: 0.621 s
% 3.84/1.07  % (16630)Instructions burned: 268 (million)
% 3.84/1.07  % (16630)------------------------------
% 3.84/1.07  % (16630)------------------------------
% 3.84/1.07  % (16681)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 (2996ds/1575Mi)
% 3.84/1.07  % (16626)Instruction limit reached!
% 3.84/1.07  % (16626)------------------------------
% 3.84/1.07  % (16626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.17/1.09  % (16626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.17/1.09  % (16626)Termination reason: Unknown
% 4.17/1.09  % (16626)Termination phase: Saturation
% 4.17/1.09  
% 4.17/1.09  % (16626)Memory used [KB]: 8955
% 4.17/1.09  % (16626)Time elapsed: 0.658 s
% 4.17/1.09  % (16626)Instructions burned: 267 (million)
% 4.17/1.09  % (16626)------------------------------
% 4.17/1.09  % (16626)------------------------------
% 4.23/1.12  % (16696)lrs+1010_1:173_acc=on:aer=off:alpa=true:anc=none:avsq=on:avsqr=497233,912204:awrs=decay:awrsf=4:bce=on:bs=on:bsd=on:cond=on:drc=off:erd=off:flr=on:gsp=on:nicw=on:nm=16:nwc=3.0:sd=2:sfv=off:skr=on:sp=reverse_arity:ss=axioms:st=2.0:updr=off:urr=ec_only:i=2989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2989Mi)
% 4.23/1.13  % (16697)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=2096:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2096Mi)
% 4.23/1.15  % (16628)Instruction limit reached!
% 4.23/1.15  % (16628)------------------------------
% 4.23/1.15  % (16628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.23/1.15  % (16628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.23/1.15  % (16628)Termination reason: Unknown
% 4.23/1.15  % (16628)Termination phase: Saturation
% 4.23/1.15  
% 4.23/1.15  % (16628)Memory used [KB]: 6524
% 4.23/1.15  % (16628)Time elapsed: 0.718 s
% 4.23/1.15  % (16628)Instructions burned: 249 (million)
% 4.23/1.15  % (16628)------------------------------
% 4.23/1.15  % (16628)------------------------------
% 6.10/1.16  % (16615)First to succeed.
% 6.35/1.17  % (16615)Refutation found. Thanks to Tanya!
% 6.35/1.17  % SZS status Unsatisfiable for theBenchmark
% 6.35/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 6.35/1.17  % (16615)------------------------------
% 6.35/1.17  % (16615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/1.17  % (16615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/1.17  % (16615)Termination reason: Refutation
% 6.35/1.17  
% 6.35/1.17  % (16615)Memory used [KB]: 10234
% 6.35/1.17  % (16615)Time elapsed: 0.737 s
% 6.35/1.17  % (16615)Instructions burned: 257 (million)
% 6.35/1.17  % (16615)------------------------------
% 6.35/1.17  % (16615)------------------------------
% 6.35/1.17  % (16602)Success in time 0.8 s
%------------------------------------------------------------------------------