TSTP Solution File: GRP359-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP359-1 : 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 : n022.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 16:15:31 EDT 2022

% Result   : Unsatisfiable 0.18s 0.57s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  205 (   6 unt;   0 def)
%            Number of atoms       :  839 ( 230 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives : 1219 ( 585   ~; 620   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  15 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f583,plain,
    $false,
    inference(avatar_sat_refutation,[],[f55,f60,f65,f74,f79,f84,f89,f90,f91,f92,f93,f94,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f195,f219,f230,f293,f297,f365,f531,f582]) ).

fof(f582,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f581]) ).

fof(f581,plain,
    ( $false
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f580]) ).

fof(f580,plain,
    ( identity != identity
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f556,f1]) ).

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

fof(f556,plain,
    ( identity != multiply(identity,identity)
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f538,f541]) ).

fof(f541,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f539,f2]) ).

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

fof(f539,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f129,f349]) ).

fof(f349,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f311,f344]) ).

fof(f344,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f342,f317]) ).

fof(f317,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f83,f307]) ).

fof(f307,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f305,f53]) ).

fof(f53,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f305,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f244,f73]) ).

fof(f73,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c3,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f244,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f243,f1]) ).

fof(f243,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f232]) ).

fof(f232,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f64]) ).

fof(f64,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

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(f83,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_11
  <=> sk_c7 = multiply(sk_c8,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f342,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f336,f316]) ).

fof(f316,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f78,f307]) ).

fof(f78,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl0_10
  <=> sk_c5 = multiply(sk_c4,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f336,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f335,f1]) ).

fof(f335,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f321]) ).

fof(f321,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f233,f307]) ).

fof(f233,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_13 ),
    inference(superposition,[],[f2,f98]) ).

fof(f98,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_13
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f311,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f53,f307]) ).

fof(f129,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f122,f1]) ).

fof(f122,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

fof(f538,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f537,f344]) ).

fof(f537,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | spl0_3
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f47,f283]) ).

fof(f283,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f282,plain,
    ( spl0_14
  <=> sk_c7 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f47,plain,
    ( multiply(sk_c7,sk_c6) != sk_c8
    | spl0_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_3
  <=> multiply(sk_c7,sk_c6) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f531,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f530]) ).

fof(f530,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f527]) ).

fof(f527,plain,
    ( identity != identity
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f518,f525]) ).

fof(f525,plain,
    ( identity = inverse(identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f442,f513]) ).

fof(f513,plain,
    ( identity = sk_c7
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f508,f2]) ).

fof(f508,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f129,f348]) ).

fof(f348,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f310,f344]) ).

fof(f310,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f46,f307]) ).

fof(f46,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f442,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f351,f428]) ).

fof(f428,plain,
    ( identity = sk_c3
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f412,f358]) ).

fof(f358,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f320,f344]) ).

fof(f320,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f232,f307]) ).

fof(f412,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f368,f360]) ).

fof(f360,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f322,f344]) ).

fof(f322,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f244,f307]) ).

fof(f368,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f348]) ).

fof(f351,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f313,f344]) ).

fof(f313,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f64,f307]) ).

fof(f518,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f347,f513]) ).

fof(f347,plain,
    ( sk_c7 != inverse(sk_c7)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f309,f344]) ).

fof(f309,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f43,f307]) ).

fof(f43,plain,
    ( sk_c6 != inverse(sk_c8)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c6 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f365,plain,
    ( spl0_14
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f346,f96,f81,f76,f71,f62,f52,f282]) ).

fof(f346,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f307,f344]) ).

fof(f297,plain,
    ( ~ spl0_9
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f296,f62,f38,f71]) ).

fof(f38,plain,
    ( spl0_1
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f296,plain,
    ( sk_c7 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f294]) ).

fof(f294,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f39,f64]) ).

fof(f39,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f293,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f292,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f291]) ).

fof(f291,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f290,f264]) ).

fof(f264,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f83,f262]) ).

fof(f262,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f260,f73]) ).

fof(f260,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f78,f258]) ).

fof(f258,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f250,f248]) ).

fof(f248,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f131,f232]) ).

fof(f131,plain,
    ( ! [X9] : multiply(sk_c6,multiply(sk_c8,X9)) = X9
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f1]) ).

fof(f124,plain,
    ( ! [X9] : multiply(identity,X9) = multiply(sk_c6,multiply(sk_c8,X9))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f118]) ).

fof(f118,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f250,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f131,f233]) ).

fof(f290,plain,
    ( sk_c7 != multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f280,f73]) ).

fof(f280,plain,
    ( sk_c7 != multiply(sk_c8,multiply(sk_c3,sk_c8))
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f278]) ).

fof(f278,plain,
    ( sk_c7 != multiply(sk_c8,multiply(sk_c3,sk_c8))
    | sk_c8 != sk_c8
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f50,f64]) ).

fof(f50,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_4
  <=> ! [X7] :
        ( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | sk_c8 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f230,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f229,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f228]) ).

fof(f228,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f227,f1]) ).

fof(f227,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f226,f1]) ).

fof(f226,plain,
    ( identity != multiply(identity,multiply(identity,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f225,plain,
    ( identity != multiply(identity,multiply(identity,identity))
    | identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f222,f189]) ).

fof(f189,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f170,f178]) ).

fof(f178,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f167,f1]) ).

fof(f167,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f142,f164]) ).

fof(f164,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f159,f142]) ).

fof(f159,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f151,f137]) ).

fof(f137,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f46,f135]) ).

fof(f135,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f132,f88]) ).

fof(f88,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl0_12
  <=> sk_c7 = multiply(sk_c8,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f132,plain,
    ( sk_c8 = multiply(sk_c8,sk_c2)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f130,f69]) ).

fof(f69,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl0_8
  <=> sk_c2 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f130,plain,
    ( ! [X11] : multiply(sk_c8,multiply(sk_c1,X11)) = X11
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f126,f1]) ).

fof(f126,plain,
    ( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c1,X11))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f119]) ).

fof(f119,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f59]) ).

fof(f59,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f151,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f150,f1]) ).

fof(f150,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f142]) ).

fof(f142,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f118,f135]) ).

fof(f170,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f136,f164]) ).

fof(f136,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f42,f135]) ).

fof(f222,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | identity != multiply(identity,multiply(X7,identity)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f221,f178]) ).

fof(f221,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f220,f182]) ).

fof(f182,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f135,f178]) ).

fof(f220,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(identity,multiply(X7,identity)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f50,f182]) ).

fof(f219,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f218]) ).

fof(f218,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f217,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f211,f1]) ).

fof(f211,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f210]) ).

fof(f210,plain,
    ( identity != multiply(identity,identity)
    | identity != identity
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f198,f189]) ).

fof(f198,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | identity != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f197,f178]) ).

fof(f197,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f196,f182]) ).

fof(f196,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c8)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f39,f182]) ).

fof(f195,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f193]) ).

fof(f193,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f187,f1]) ).

fof(f187,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f168,f178]) ).

fof(f168,plain,
    ( identity != multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f138,f164]) ).

fof(f138,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f54,f135]) ).

fof(f54,plain,
    ( sk_c6 != multiply(sk_c8,sk_c7)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f117,plain,
    ( spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f57,f96]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f116,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f5,f71,f45]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f115,plain,
    ( spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f31,f81,f57]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f114,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f52,f67]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f113,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f41,f81]) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f112,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f41,f76]) ).

fof(f14,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f111,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f11,f71,f41]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f110,plain,
    ( spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f29,f71,f57]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f109,plain,
    ( spl0_9
    | spl0_12 ),
    inference(avatar_split_clause,[],[f17,f86,f71]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f108,plain,
    ( spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f20,f86,f76]) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f107,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f30,f57,f62]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f106,plain,
    ( spl0_13
    | spl0_8 ),
    inference(avatar_split_clause,[],[f27,f67,f96]) ).

fof(f27,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f105,plain,
    ( spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f9,f45,f96]) ).

fof(f9,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f104,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f4,f52,f45]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f103,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f19,f86,f81]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f102,plain,
    ( spl0_11
    | spl0_8 ),
    inference(avatar_split_clause,[],[f25,f67,f81]) ).

fof(f25,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f101,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f26,f67,f76]) ).

fof(f26,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f100,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f21,f96,f86]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f99,plain,
    ( spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f15,f41,f96]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f94,plain,
    ( spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f32,f76,f57]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f93,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f41,f52]) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f92,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f24,f67,f62]) ).

fof(f24,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f91,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f18,f86,f62]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f90,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f45,f62]) ).

fof(f6,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f89,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f16,f52,f86]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f84,plain,
    ( spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f7,f81,f45]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f79,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f8,f45,f76]) ).

fof(f8,axiom,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f74,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f23,f71,f67]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f65,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f12,f62,f41]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f60,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f57,f52]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f55,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f36,f52,f49,f49,f45,f41,f38]) ).

fof(f36,plain,
    ! [X7,X4,X5] :
      ( sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c8 != inverse(X7)
      | multiply(sk_c7,sk_c6) != sk_c8
      | sk_c6 != inverse(sk_c8)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c8 != inverse(X5)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c6 != inverse(sk_c8)
      | sk_c7 != multiply(X5,sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c8 != inverse(X7)
      | multiply(X4,sk_c8) != X3
      | sk_c7 != multiply(sk_c8,X3)
      | sk_c8 != inverse(X4) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X5)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c6 != inverse(sk_c8)
      | sk_c7 != multiply(X5,sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c8 != inverse(X7)
      | multiply(X4,sk_c8) != X3
      | sk_c7 != multiply(sk_c8,X3)
      | sk_c8 != inverse(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP359-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:27:26 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.49  % (24449)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)
% 0.18/0.49  % (24442)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)
% 0.18/0.50  % (24450)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)
% 0.18/0.50  % (24450)Instruction limit reached!
% 0.18/0.50  % (24450)------------------------------
% 0.18/0.50  % (24450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (24452)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)
% 0.18/0.50  % (24453)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)
% 0.18/0.50  % (24453)Instruction limit reached!
% 0.18/0.50  % (24453)------------------------------
% 0.18/0.50  % (24453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (24453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (24453)Termination reason: Unknown
% 0.18/0.50  % (24453)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (24453)Memory used [KB]: 5884
% 0.18/0.50  % (24453)Time elapsed: 0.003 s
% 0.18/0.50  % (24453)Instructions burned: 3 (million)
% 0.18/0.50  % (24453)------------------------------
% 0.18/0.50  % (24453)------------------------------
% 0.18/0.51  % (24458)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)
% 0.18/0.51  % (24450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24450)Termination reason: Unknown
% 0.18/0.51  % (24450)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (24450)Memory used [KB]: 6012
% 0.18/0.51  % (24450)Time elapsed: 0.105 s
% 0.18/0.51  % (24450)Instructions burned: 8 (million)
% 0.18/0.51  % (24450)------------------------------
% 0.18/0.51  % (24450)------------------------------
% 0.18/0.51  % (24442)Instruction limit reached!
% 0.18/0.51  % (24442)------------------------------
% 0.18/0.51  % (24442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (24442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24442)Termination reason: Unknown
% 0.18/0.51  % (24442)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (24442)Memory used [KB]: 5884
% 0.18/0.51  % (24442)Time elapsed: 0.117 s
% 0.18/0.51  % (24442)Instructions burned: 5 (million)
% 0.18/0.51  % (24442)------------------------------
% 0.18/0.51  % (24442)------------------------------
% 0.18/0.51  % (24454)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)
% 0.18/0.51  % (24461)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)
% 0.18/0.51  % (24462)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)
% 0.18/0.51  % (24443)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)
% 0.18/0.51  % (24463)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)
% 0.18/0.51  % (24444)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)
% 0.18/0.52  % (24440)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52  % (24444)Refutation not found, incomplete strategy% (24444)------------------------------
% 0.18/0.52  % (24444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (24444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (24444)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (24444)Memory used [KB]: 6012
% 0.18/0.52  % (24444)Time elapsed: 0.131 s
% 0.18/0.52  % (24444)Instructions burned: 5 (million)
% 0.18/0.52  % (24444)------------------------------
% 0.18/0.52  % (24444)------------------------------
% 0.18/0.52  % (24447)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)
% 0.18/0.52  % (24441)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)
% 0.18/0.52  % (24460)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)
% 0.18/0.52  % (24469)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)
% 0.18/0.52  % (24452)Instruction limit reached!
% 0.18/0.52  % (24452)------------------------------
% 0.18/0.52  % (24452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (24452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (24452)Termination reason: Unknown
% 0.18/0.52  % (24452)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (24452)Memory used [KB]: 5884
% 0.18/0.52  % (24452)Time elapsed: 0.136 s
% 0.18/0.52  % (24452)Instructions burned: 5 (million)
% 0.18/0.52  % (24452)------------------------------
% 0.18/0.52  % (24452)------------------------------
% 0.18/0.52  % (24456)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)
% 0.18/0.52  % (24451)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)
% 0.18/0.52  % (24456)Instruction limit reached!
% 0.18/0.52  % (24456)------------------------------
% 0.18/0.52  % (24456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (24456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (24456)Termination reason: Unknown
% 0.18/0.52  % (24456)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (24456)Memory used [KB]: 5756
% 0.18/0.52  % (24456)Time elapsed: 0.002 s
% 0.18/0.52  % (24456)Instructions burned: 2 (million)
% 0.18/0.52  % (24456)------------------------------
% 0.18/0.52  % (24456)------------------------------
% 0.18/0.53  % (24465)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)
% 0.18/0.53  % (24464)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.53  % (24467)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)
% 0.18/0.53  % (24463)Refutation not found, incomplete strategy% (24463)------------------------------
% 0.18/0.53  % (24463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (24445)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.54  % (24448)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)
% 0.18/0.54  % (24463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24463)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (24463)Memory used [KB]: 5884
% 0.18/0.54  % (24463)Time elapsed: 0.127 s
% 0.18/0.54  % (24463)Instructions burned: 3 (million)
% 0.18/0.54  % (24463)------------------------------
% 0.18/0.54  % (24463)------------------------------
% 0.18/0.54  % (24448)Instruction limit reached!
% 0.18/0.54  % (24448)------------------------------
% 0.18/0.54  % (24448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24448)Termination reason: Unknown
% 0.18/0.54  % (24448)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (24448)Memory used [KB]: 5884
% 0.18/0.54  % (24448)Time elapsed: 0.149 s
% 0.18/0.54  % (24448)Instructions burned: 4 (million)
% 0.18/0.54  % (24448)------------------------------
% 0.18/0.54  % (24448)------------------------------
% 0.18/0.54  % (24458)Refutation not found, incomplete strategy% (24458)------------------------------
% 0.18/0.54  % (24458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24458)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (24458)Memory used [KB]: 10618
% 0.18/0.54  % (24458)Time elapsed: 0.140 s
% 0.18/0.54  % (24458)Instructions burned: 23 (million)
% 0.18/0.54  % (24458)------------------------------
% 0.18/0.54  % (24458)------------------------------
% 0.18/0.54  % (24455)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)
% 0.18/0.54  % (24468)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.54  % (24460)Instruction limit reached!
% 0.18/0.54  % (24460)------------------------------
% 0.18/0.54  % (24460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24460)Termination reason: Unknown
% 0.18/0.54  % (24460)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (24460)Memory used [KB]: 1407
% 0.18/0.54  % (24460)Time elapsed: 0.152 s
% 0.18/0.54  % (24460)Instructions burned: 6 (million)
% 0.18/0.54  % (24460)------------------------------
% 0.18/0.54  % (24460)------------------------------
% 0.18/0.54  % (24461)Refutation not found, incomplete strategy% (24461)------------------------------
% 0.18/0.54  % (24461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24461)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (24461)Memory used [KB]: 5884
% 0.18/0.54  % (24461)Time elapsed: 0.136 s
% 0.18/0.54  % (24461)Instructions burned: 6 (million)
% 0.18/0.54  % (24461)------------------------------
% 0.18/0.54  % (24461)------------------------------
% 0.18/0.54  % (24457)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.54  % (24455)Instruction limit reached!
% 0.18/0.54  % (24455)------------------------------
% 0.18/0.54  % (24455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (24455)Termination reason: Unknown
% 0.18/0.54  % (24455)Termination phase: Finite model building preprocessing
% 0.18/0.54  
% 0.18/0.54  % (24455)Memory used [KB]: 6012
% 0.18/0.54  % (24455)Time elapsed: 0.007 s
% 0.18/0.54  % (24455)Instructions burned: 6 (million)
% 0.18/0.54  % (24455)------------------------------
% 0.18/0.54  % (24455)------------------------------
% 0.18/0.54  % (24446)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)
% 0.18/0.54  % (24459)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)
% 0.18/0.55  % (24459)Instruction limit reached!
% 0.18/0.55  % (24459)------------------------------
% 0.18/0.55  % (24459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (24459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (24459)Termination reason: Unknown
% 0.18/0.55  % (24459)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (24459)Memory used [KB]: 6012
% 0.18/0.55  % (24459)Time elapsed: 0.165 s
% 0.18/0.55  % (24459)Instructions burned: 7 (million)
% 0.18/0.55  % (24459)------------------------------
% 0.18/0.55  % (24459)------------------------------
% 0.18/0.55  % (24466)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)
% 0.18/0.55  % (24451)Instruction limit reached!
% 0.18/0.55  % (24451)------------------------------
% 0.18/0.55  % (24451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (24451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (24451)Termination reason: Unknown
% 0.18/0.55  % (24451)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (24451)Memory used [KB]: 6140
% 0.18/0.55  % (24451)Time elapsed: 0.167 s
% 0.18/0.55  % (24451)Instructions burned: 24 (million)
% 0.18/0.55  % (24451)------------------------------
% 0.18/0.55  % (24451)------------------------------
% 0.18/0.55  % (24466)Refutation not found, incomplete strategy% (24466)------------------------------
% 0.18/0.55  % (24466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (24466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (24466)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.55  
% 0.18/0.55  % (24466)Memory used [KB]: 5884
% 0.18/0.55  % (24466)Time elapsed: 0.155 s
% 0.18/0.55  % (24466)Instructions burned: 4 (million)
% 0.18/0.55  % (24466)------------------------------
% 0.18/0.55  % (24466)------------------------------
% 0.18/0.56  % (24445)First to succeed.
% 0.18/0.56  % (24443)Instruction limit reached!
% 0.18/0.56  % (24443)------------------------------
% 0.18/0.56  % (24443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (24443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (24443)Termination reason: Unknown
% 0.18/0.56  % (24443)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (24443)Memory used [KB]: 6268
% 0.18/0.56  % (24443)Time elapsed: 0.170 s
% 0.18/0.56  % (24443)Instructions burned: 44 (million)
% 0.18/0.56  % (24443)------------------------------
% 0.18/0.56  % (24443)------------------------------
% 0.18/0.56  % (24454)Instruction limit reached!
% 0.18/0.56  % (24454)------------------------------
% 0.18/0.56  % (24454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (24454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (24454)Termination reason: Unknown
% 0.18/0.56  % (24454)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (24454)Memory used [KB]: 1663
% 0.18/0.56  % (24454)Time elapsed: 0.127 s
% 0.18/0.56  % (24454)Instructions burned: 29 (million)
% 0.18/0.56  % (24454)------------------------------
% 0.18/0.56  % (24454)------------------------------
% 0.18/0.57  % (24468)Instruction limit reached!
% 0.18/0.57  % (24468)------------------------------
% 0.18/0.57  % (24468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (24468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (24468)Termination reason: Unknown
% 0.18/0.57  % (24468)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (24468)Memory used [KB]: 6396
% 0.18/0.57  % (24468)Time elapsed: 0.169 s
% 0.18/0.57  % (24468)Instructions burned: 22 (million)
% 0.18/0.57  % (24468)------------------------------
% 0.18/0.57  % (24468)------------------------------
% 0.18/0.57  % (24457)Instruction limit reached!
% 0.18/0.57  % (24457)------------------------------
% 0.18/0.57  % (24457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (24457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (24457)Termination reason: Unknown
% 0.18/0.57  % (24457)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (24457)Memory used [KB]: 6012
% 0.18/0.57  % (24457)Time elapsed: 0.162 s
% 0.18/0.57  % (24457)Instructions burned: 9 (million)
% 0.18/0.57  % (24457)------------------------------
% 0.18/0.57  % (24457)------------------------------
% 0.18/0.57  % (24440)Also succeeded, but the first one will report.
% 0.18/0.57  % (24445)Refutation found. Thanks to Tanya!
% 0.18/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57  % (24445)------------------------------
% 0.18/0.57  % (24445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (24445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (24445)Termination reason: Refutation
% 0.18/0.57  
% 0.18/0.57  % (24445)Memory used [KB]: 6140
% 0.18/0.57  % (24445)Time elapsed: 0.157 s
% 0.18/0.57  % (24445)Instructions burned: 20 (million)
% 0.18/0.57  % (24445)------------------------------
% 0.18/0.57  % (24445)------------------------------
% 0.18/0.57  % (24439)Success in time 0.216 s
%------------------------------------------------------------------------------