TSTP Solution File: GRP289-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP289-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.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 16:15:12 EDT 2022

% Result   : Unsatisfiable 1.60s 0.56s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  186 (   4 unt;   0 def)
%            Number of atoms       :  694 ( 199 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  997 ( 489   ~; 490   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  19 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f634,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f59,f64,f74,f79,f80,f82,f87,f88,f89,f90,f91,f92,f97,f98,f100,f101,f102,f103,f104,f105,f106,f107,f178,f223,f231,f382,f388,f433,f434,f439,f455,f474,f519,f550,f566,f587,f633]) ).

fof(f633,plain,
    ( spl0_3
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f523,f457,f71,f38]) ).

fof(f38,plain,
    ( spl0_3
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f71,plain,
    ( spl0_11
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f457,plain,
    ( spl0_19
  <=> sk_c6 = multiply(sk_c3,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f523,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(superposition,[],[f252,f458]) ).

fof(f458,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f251,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f251,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f240]) ).

fof(f240,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f73]) ).

fof(f73,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f587,plain,
    ( ~ spl0_16
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_19
    | spl0_21 ),
    inference(avatar_split_clause,[],[f586,f471,f457,f430,f94,f76,f56,f38,f430]) ).

fof(f56,plain,
    ( spl0_8
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f76,plain,
    ( spl0_12
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f94,plain,
    ( spl0_14
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f430,plain,
    ( spl0_16
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f471,plain,
    ( spl0_21
  <=> sk_c6 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f586,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_19
    | spl0_21 ),
    inference(forward_demodulation,[],[f473,f572]) ).

fof(f572,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f534,f431]) ).

fof(f431,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f534,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f58,f531]) ).

fof(f531,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f522,f458]) ).

fof(f522,plain,
    ( sk_c5 = multiply(sk_c3,sk_c5)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f511,f39]) ).

fof(f39,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f511,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f245,f415]) ).

fof(f415,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f403,f58]) ).

fof(f403,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f402,f1]) ).

fof(f402,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f391]) ).

fof(f391,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f78]) ).

fof(f78,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f245,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f96]) ).

fof(f96,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f58,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f473,plain,
    ( sk_c6 != multiply(sk_c4,sk_c7)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f566,plain,
    ( spl0_15
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f565,f457,f430,f94,f76,f56,f38,f426]) ).

fof(f426,plain,
    ( spl0_15
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f565,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f531,f431]) ).

fof(f550,plain,
    ( spl0_16
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f549,f457,f94,f76,f56,f38,f430]) ).

fof(f549,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f540,f96]) ).

fof(f540,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f458,f531]) ).

fof(f519,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f518,f94,f71,f34,f457]) ).

fof(f34,plain,
    ( spl0_2
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f518,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f510,f411]) ).

fof(f411,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f252,f96]) ).

fof(f510,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f245,f35]) ).

fof(f35,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f474,plain,
    ( ~ spl0_16
    | ~ spl0_21
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f463,f76,f45,f471,f430]) ).

fof(f45,plain,
    ( spl0_5
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f463,plain,
    ( sk_c6 != multiply(sk_c4,sk_c7)
    | sk_c7 != sk_c6
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f46,f78]) ).

fof(f46,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f455,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f454,f76,f48,f56]) ).

fof(f48,plain,
    ( spl0_6
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f454,plain,
    ( sk_c6 != multiply(sk_c4,sk_c5)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f452]) ).

fof(f452,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c4,sk_c5)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f49,f78]) ).

fof(f49,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f439,plain,
    ( ~ spl0_14
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f438,f71,f31,f94]) ).

fof(f31,plain,
    ( spl0_1
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f438,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f436]) ).

fof(f436,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f32,f73]) ).

fof(f32,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f434,plain,
    ( ~ spl0_10
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f422,f52,f42,f66]) ).

fof(f66,plain,
    ( spl0_10
  <=> sk_c5 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f42,plain,
    ( spl0_4
  <=> ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f52,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f422,plain,
    ( sk_c5 != multiply(sk_c2,sk_c6)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f419]) ).

fof(f419,plain,
    ( sk_c5 != multiply(sk_c2,sk_c6)
    | sk_c6 != sk_c6
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f43,f54]) ).

fof(f54,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f43,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f433,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f424,f94,f71,f42,f430,f426]) ).

fof(f424,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != sk_c5
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f420,f96]) ).

fof(f420,plain,
    ( sk_c5 != multiply(sk_c3,sk_c6)
    | sk_c7 != sk_c6
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f43,f73]) ).

fof(f388,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f387]) ).

fof(f387,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f386]) ).

fof(f386,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f385,f1]) ).

fof(f385,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f384]) ).

fof(f384,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f383,f329]) ).

fof(f329,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f235,f324]) ).

fof(f324,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f323,f137]) ).

fof(f137,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f39,f134]) ).

fof(f134,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f120,f63]) ).

fof(f63,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_9
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f120,plain,
    ( ! [X9] : multiply(sk_c7,multiply(sk_c1,X9)) = X9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f114,f1]) ).

fof(f114,plain,
    ( ! [X9] : multiply(sk_c7,multiply(sk_c1,X9)) = multiply(identity,X9)
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f109]) ).

fof(f109,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_13 ),
    inference(superposition,[],[f2,f86]) ).

fof(f86,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_13
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f323,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f322,f1]) ).

fof(f322,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f68,f172]) ).

fof(f172,plain,
    ( identity = sk_c2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f167,f108]) ).

fof(f108,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f54]) ).

fof(f167,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f166,f1]) ).

fof(f166,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f165]) ).

fof(f165,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f164,f108]) ).

fof(f164,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c2)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f157,f116]) ).

fof(f116,plain,
    ( ! [X11] : multiply(sk_c1,multiply(sk_c7,X11)) = multiply(sk_c6,X11)
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f63]) ).

fof(f157,plain,
    ( multiply(sk_c6,sk_c2) = multiply(sk_c1,multiply(sk_c7,identity))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f116,f149]) ).

fof(f149,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c7,sk_c2)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f126,f137]) ).

fof(f126,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f113,f108]) ).

fof(f113,plain,
    ( ! [X8] : multiply(sk_c7,multiply(sk_c6,X8)) = multiply(sk_c5,X8)
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f39]) ).

fof(f68,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f235,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f54,f172]) ).

fof(f383,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c7) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f46,f324]) ).

fof(f382,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f380]) ).

fof(f380,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f379,f1]) ).

fof(f379,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f378]) ).

fof(f378,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f369,f329]) ).

fof(f369,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7) )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f368,f324]) ).

fof(f368,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7) )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f325,f324]) ).

fof(f325,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f49,f137]) ).

fof(f231,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f229]) ).

fof(f229,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f228,f1]) ).

fof(f228,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f227]) ).

fof(f227,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | sk_c7 != sk_c7
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f226,f189]) ).

fof(f189,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f180,f172]) ).

fof(f180,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f54,f170]) ).

fof(f170,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f141,f167]) ).

fof(f141,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f122,f137]) ).

fof(f122,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f118,f68]) ).

fof(f118,plain,
    ( ! [X10] : multiply(sk_c6,multiply(sk_c2,X10)) = X10
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f115,f1]) ).

fof(f115,plain,
    ( ! [X10] : multiply(sk_c6,multiply(sk_c2,X10)) = multiply(identity,X10)
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f108]) ).

fof(f226,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f225,f170]) ).

fof(f225,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c6 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f224,f137]) ).

fof(f224,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f43,f170]) ).

fof(f223,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f222]) ).

fof(f222,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f221]) ).

fof(f221,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f220,f1]) ).

fof(f220,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f219]) ).

fof(f219,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f202,f189]) ).

fof(f202,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c7) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f32,f170]) ).

fof(f178,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f177]) ).

fof(f177,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f174]) ).

fof(f174,plain,
    ( sk_c7 != sk_c7
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f143,f167]) ).

fof(f143,plain,
    ( sk_c7 != multiply(sk_c6,sk_c7)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f36,f137]) ).

fof(f36,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f107,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f15,f84,f71]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f106,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f34,f52]) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f105,plain,
    ( spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f38,f94]) ).

fof(f6,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f104,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f25,f52,f71]) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f103,plain,
    ( spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f21,f94,f66]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f102,plain,
    ( spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f26,f52,f94]) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f101,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f16,f94,f84]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f100,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f23,f56,f66]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f98,plain,
    ( spl0_13
    | spl0_12 ),
    inference(avatar_split_clause,[],[f17,f76,f84]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f97,plain,
    ( spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f94,f61]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f92,plain,
    ( spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f34,f84]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f91,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f27,f76,f52]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f90,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f38,f71]) ).

fof(f5,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f89,plain,
    ( spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f22,f76,f66]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f88,plain,
    ( spl0_11
    | spl0_10 ),
    inference(avatar_split_clause,[],[f20,f66,f71]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f87,plain,
    ( spl0_8
    | spl0_13 ),
    inference(avatar_split_clause,[],[f18,f84,f56]) ).

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f82,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f13,f61,f56]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f80,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f4,f38,f34]) ).

fof(f4,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f79,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f12,f61,f76]) ).

fof(f12,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f74,plain,
    ( spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f71,f61]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f64,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f34,f61]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f59,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f28,f56,f52]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f50,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f29,f48,f45,f42,f38,f34,f31]) ).

fof(f29,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != inverse(X6)
      | sk_c7 != inverse(X3)
      | sk_c5 != multiply(X4,sk_c6)
      | multiply(sk_c7,sk_c6) != sk_c5
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X5,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP289-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n024.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 22:28:19 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (11462)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (11460)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (11477)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (11463)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (11475)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.50  % (11475)Refutation not found, incomplete strategy% (11475)------------------------------
% 0.19/0.50  % (11475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (11477)Refutation not found, incomplete strategy% (11477)------------------------------
% 0.19/0.50  % (11477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (11477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (11477)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (11477)Memory used [KB]: 5884
% 0.19/0.50  % (11477)Time elapsed: 0.073 s
% 0.19/0.50  % (11477)Instructions burned: 3 (million)
% 0.19/0.50  % (11477)------------------------------
% 0.19/0.50  % (11477)------------------------------
% 0.19/0.50  % (11458)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50  % (11475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (11475)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (11475)Memory used [KB]: 5884
% 0.19/0.50  % (11475)Time elapsed: 0.071 s
% 0.19/0.50  % (11475)Instructions burned: 2 (million)
% 0.19/0.50  % (11475)------------------------------
% 0.19/0.50  % (11475)------------------------------
% 0.19/0.50  % (11455)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.50  % (11454)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (11456)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51  % (11456)Instruction limit reached!
% 0.19/0.51  % (11456)------------------------------
% 0.19/0.51  % (11456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (11456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (11456)Termination reason: Unknown
% 0.19/0.51  % (11456)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (11456)Memory used [KB]: 5884
% 0.19/0.51  % (11456)Time elapsed: 0.003 s
% 0.19/0.51  % (11456)Instructions burned: 4 (million)
% 0.19/0.51  % (11456)------------------------------
% 0.19/0.51  % (11456)------------------------------
% 0.19/0.51  % (11459)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (11471)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (11470)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (11474)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (11457)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (11471)Instruction limit reached!
% 0.19/0.52  % (11471)------------------------------
% 0.19/0.52  % (11471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11464)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (11471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11471)Termination reason: Unknown
% 0.19/0.52  % (11471)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (11471)Memory used [KB]: 6012
% 0.19/0.52  % (11471)Time elapsed: 0.119 s
% 0.19/0.52  % (11471)Instructions burned: 8 (million)
% 0.19/0.52  % (11471)------------------------------
% 0.19/0.52  % (11471)------------------------------
% 0.19/0.52  % (11468)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52  % (11474)Instruction limit reached!
% 0.19/0.52  % (11474)------------------------------
% 0.19/0.52  % (11474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11474)Termination reason: Unknown
% 0.19/0.52  % (11474)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (11474)Memory used [KB]: 1407
% 0.19/0.52  % (11474)Time elapsed: 0.130 s
% 0.19/0.52  % (11474)Instructions burned: 7 (million)
% 0.19/0.52  % (11474)------------------------------
% 0.19/0.52  % (11474)------------------------------
% 0.19/0.52  % (11464)Instruction limit reached!
% 0.19/0.52  % (11464)------------------------------
% 0.19/0.52  % (11464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11464)Termination reason: Unknown
% 0.19/0.52  % (11464)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (11464)Memory used [KB]: 6012
% 0.19/0.52  % (11464)Time elapsed: 0.127 s
% 0.19/0.52  % (11464)Instructions burned: 7 (million)
% 0.19/0.52  % (11464)------------------------------
% 0.19/0.52  % (11464)------------------------------
% 0.19/0.52  % (11458)Refutation not found, incomplete strategy% (11458)------------------------------
% 0.19/0.52  % (11458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11483)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (11465)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52  % (11476)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52  % (11458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11458)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (11458)Memory used [KB]: 5884
% 0.19/0.52  % (11458)Time elapsed: 0.126 s
% 0.19/0.52  % (11458)Instructions burned: 3 (million)
% 0.19/0.52  % (11458)------------------------------
% 0.19/0.52  % (11458)------------------------------
% 0.19/0.53  % (11480)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53  % (11480)Refutation not found, incomplete strategy% (11480)------------------------------
% 0.19/0.53  % (11480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11480)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11480)Memory used [KB]: 5884
% 0.19/0.53  % (11480)Time elapsed: 0.139 s
% 0.19/0.53  % (11480)Instructions burned: 4 (million)
% 0.19/0.53  % (11480)------------------------------
% 0.19/0.53  % (11480)------------------------------
% 0.19/0.53  % (11472)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.53  % (11466)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.53  % (11478)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.39/0.53  % (11473)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.54  % (11470)Instruction limit reached!
% 1.39/0.54  % (11470)------------------------------
% 1.39/0.54  % (11470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (11470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (11470)Termination reason: Unknown
% 1.39/0.54  % (11470)Termination phase: Saturation
% 1.39/0.54  
% 1.39/0.54  % (11470)Memory used [KB]: 5884
% 1.39/0.54  % (11470)Time elapsed: 0.002 s
% 1.39/0.54  % (11470)Instructions burned: 2 (million)
% 1.39/0.54  % (11470)------------------------------
% 1.39/0.54  % (11470)------------------------------
% 1.39/0.54  % (11462)Instruction limit reached!
% 1.39/0.54  % (11462)------------------------------
% 1.39/0.54  % (11462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (11462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (11462)Termination reason: Unknown
% 1.39/0.54  % (11462)Termination phase: Saturation
% 1.39/0.54  
% 1.39/0.54  % (11462)Memory used [KB]: 5884
% 1.39/0.54  % (11462)Time elapsed: 0.004 s
% 1.39/0.54  % (11462)Instructions burned: 3 (million)
% 1.39/0.54  % (11462)------------------------------
% 1.39/0.54  % (11462)------------------------------
% 1.39/0.54  % (11457)Refutation not found, incomplete strategy% (11457)------------------------------
% 1.39/0.54  % (11457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (11457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (11457)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.54  
% 1.39/0.54  % (11457)Memory used [KB]: 5884
% 1.39/0.54  % (11457)Time elapsed: 0.146 s
% 1.39/0.54  % (11457)Instructions burned: 3 (million)
% 1.39/0.54  % (11457)------------------------------
% 1.39/0.54  % (11457)------------------------------
% 1.39/0.54  % (11481)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.39/0.54  % (11479)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.39/0.54  % (11467)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.39/0.54  % (11467)Instruction limit reached!
% 1.39/0.54  % (11467)------------------------------
% 1.39/0.54  % (11467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (11467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (11467)Termination reason: Unknown
% 1.39/0.54  % (11467)Termination phase: Saturation
% 1.39/0.54  
% 1.39/0.54  % (11467)Memory used [KB]: 5884
% 1.39/0.54  % (11467)Time elapsed: 0.149 s
% 1.39/0.54  % (11467)Instructions burned: 5 (million)
% 1.39/0.54  % (11467)------------------------------
% 1.39/0.54  % (11467)------------------------------
% 1.39/0.54  % (11466)Instruction limit reached!
% 1.39/0.54  % (11466)------------------------------
% 1.39/0.54  % (11466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (11466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (11466)Termination reason: Unknown
% 1.39/0.54  % (11466)Termination phase: Saturation
% 1.39/0.54  
% 1.39/0.54  % (11466)Memory used [KB]: 5884
% 1.39/0.54  % (11466)Time elapsed: 0.137 s
% 1.39/0.54  % (11466)Instructions burned: 5 (million)
% 1.39/0.54  % (11466)------------------------------
% 1.39/0.54  % (11466)------------------------------
% 1.39/0.54  % (11469)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.39/0.54  % (11463)Instruction limit reached!
% 1.39/0.54  % (11463)------------------------------
% 1.39/0.54  % (11463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55  TRYING [1]
% 1.39/0.55  % (11482)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.39/0.55  % (11461)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.55  % (11482)Refutation not found, incomplete strategy% (11482)------------------------------
% 1.39/0.55  % (11482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55  % (11482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55  % (11482)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.55  
% 1.39/0.55  % (11482)Memory used [KB]: 5884
% 1.39/0.55  % (11482)Time elapsed: 0.149 s
% 1.39/0.55  % (11482)Instructions burned: 4 (million)
% 1.39/0.55  % (11482)------------------------------
% 1.39/0.55  % (11482)------------------------------
% 1.39/0.55  % (11473)Instruction limit reached!
% 1.39/0.55  % (11473)------------------------------
% 1.39/0.55  % (11473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55  TRYING [1]
% 1.39/0.55  % (11469)Instruction limit reached!
% 1.39/0.55  % (11469)------------------------------
% 1.39/0.55  % (11469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55  % (11469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55  % (11469)Termination reason: Unknown
% 1.39/0.55  % (11469)Termination phase: Finite model building constraint generation
% 1.39/0.55  
% 1.39/0.55  % (11469)Memory used [KB]: 6012
% 1.39/0.55  % (11469)Time elapsed: 0.004 s
% 1.39/0.55  % (11469)Instructions burned: 6 (million)
% 1.39/0.55  % (11469)------------------------------
% 1.39/0.55  % (11469)------------------------------
% 1.60/0.56  % (11473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (11473)Termination reason: Unknown
% 1.60/0.56  % (11473)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (11473)Memory used [KB]: 6012
% 1.60/0.56  % (11473)Time elapsed: 0.142 s
% 1.60/0.56  % (11473)Instructions burned: 8 (million)
% 1.60/0.56  % (11473)------------------------------
% 1.60/0.56  % (11473)------------------------------
% 1.60/0.56  % (11461)Refutation not found, incomplete strategy% (11461)------------------------------
% 1.60/0.56  % (11461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (11468)Instruction limit reached!
% 1.60/0.56  % (11468)------------------------------
% 1.60/0.56  % (11468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (11468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (11468)Termination reason: Unknown
% 1.60/0.56  % (11468)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (11468)Memory used [KB]: 1663
% 1.60/0.56  % (11468)Time elapsed: 0.169 s
% 1.60/0.56  % (11468)Instructions burned: 30 (million)
% 1.60/0.56  % (11468)------------------------------
% 1.60/0.56  % (11468)------------------------------
% 1.60/0.56  % (11461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (11461)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.56  
% 1.60/0.56  % (11461)Memory used [KB]: 5884
% 1.60/0.56  % (11461)Time elapsed: 0.161 s
% 1.60/0.56  % (11461)Instructions burned: 2 (million)
% 1.60/0.56  % (11461)------------------------------
% 1.60/0.56  % (11461)------------------------------
% 1.60/0.56  % (11455)Instruction limit reached!
% 1.60/0.56  % (11455)------------------------------
% 1.60/0.56  % (11455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (11459)First to succeed.
% 1.60/0.56  % (11463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (11463)Termination reason: Unknown
% 1.60/0.56  % (11463)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (11463)Memory used [KB]: 6652
% 1.60/0.56  % (11463)Time elapsed: 0.107 s
% 1.60/0.56  % (11463)Instructions burned: 52 (million)
% 1.60/0.56  % (11463)------------------------------
% 1.60/0.56  % (11463)------------------------------
% 1.60/0.56  % (11459)Refutation found. Thanks to Tanya!
% 1.60/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.56  % (11459)------------------------------
% 1.60/0.56  % (11459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (11459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (11459)Termination reason: Refutation
% 1.60/0.56  
% 1.60/0.56  % (11459)Memory used [KB]: 6140
% 1.60/0.56  % (11459)Time elapsed: 0.159 s
% 1.60/0.56  % (11459)Instructions burned: 21 (million)
% 1.60/0.56  % (11459)------------------------------
% 1.60/0.56  % (11459)------------------------------
% 1.60/0.56  % (11450)Success in time 0.221 s
%------------------------------------------------------------------------------