TSTP Solution File: GRP261-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP261-1 : 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 : n029.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 16:15:05 EDT 2022

% Result   : Unsatisfiable 1.58s 0.58s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  171 (   4 unt;   0 def)
%            Number of atoms       :  549 ( 183 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  711 ( 333   ~; 361   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f608,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f52,f70,f80,f81,f82,f83,f88,f89,f90,f91,f92,f93,f94,f95,f97,f98,f99,f100,f101,f103,f104,f105,f106,f107,f117,f118,f288,f326,f385,f444,f445,f461,f467,f552,f579,f607]) ).

fof(f607,plain,
    ( spl0_20
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f597,f391,f73,f67,f58,f49,f36,f426]) ).

fof(f426,plain,
    ( spl0_20
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f36,plain,
    ( spl0_1
  <=> sk_c6 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f49,plain,
    ( spl0_4
  <=> multiply(sk_c1,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f58,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f67,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f73,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f391,plain,
    ( spl0_18
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f597,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f541,f592]) ).

fof(f592,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f396,f573]) ).

fof(f573,plain,
    ( ! [X1] : multiply(sk_c2,X1) = X1
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f563,f396]) ).

fof(f563,plain,
    ( ! [X1] : multiply(sk_c7,multiply(sk_c2,X1)) = multiply(sk_c2,X1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f470,f392]) ).

fof(f392,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f470,plain,
    ( ! [X1] : multiply(sk_c6,multiply(sk_c2,X1)) = multiply(sk_c2,X1)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f358,f396]) ).

fof(f358,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f38]) ).

fof(f38,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

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

fof(f396,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f395,f1]) ).

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

fof(f395,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f356]) ).

fof(f356,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f69]) ).

fof(f69,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f67]) ).

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

fof(f541,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f530,f497]) ).

fof(f497,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f494,f51]) ).

fof(f51,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f494,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f360,f411]) ).

fof(f411,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f370,f51]) ).

fof(f370,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f369,f1]) ).

fof(f369,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f355]) ).

fof(f355,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f60]) ).

fof(f60,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f360,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f51]) ).

fof(f530,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f75]) ).

fof(f75,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f474,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f396,f358]) ).

fof(f579,plain,
    ( ~ spl0_20
    | ~ spl0_18
    | spl0_23 ),
    inference(avatar_split_clause,[],[f578,f440,f391,f426]) ).

fof(f440,plain,
    ( spl0_23
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f578,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_18
    | spl0_23 ),
    inference(superposition,[],[f442,f392]) ).

fof(f442,plain,
    ( sk_c8 != sk_c6
    | spl0_23 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f552,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f548,f73,f67,f58,f49,f36,f391]) ).

fof(f548,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f38,f547]) ).

fof(f547,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f545,f75]) ).

fof(f545,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f358,f541]) ).

fof(f467,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f454,f109,f85,f77]) ).

fof(f77,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f85,plain,
    ( spl0_11
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f109,plain,
    ( spl0_12
  <=> ! [X7] :
        ( sk_c6 != multiply(X7,sk_c8)
        | sk_c6 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f454,plain,
    ( sk_c6 != multiply(sk_c5,sk_c8)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f452]) ).

fof(f452,plain,
    ( sk_c6 != multiply(sk_c5,sk_c8)
    | sk_c6 != sk_c6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f110,f87]) ).

fof(f87,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f110,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f461,plain,
    ( ~ spl0_23
    | ~ spl0_18
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f460,f109,f58,f49,f391,f440]) ).

fof(f460,plain,
    ( sk_c7 != sk_c6
    | sk_c8 != sk_c6
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f450,f51]) ).

fof(f450,plain,
    ( sk_c8 != sk_c6
    | multiply(sk_c1,sk_c8) != sk_c6
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f110,f60]) ).

fof(f445,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f419,f115,f45,f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c7 = multiply(sk_c3,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f45,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f115,plain,
    ( spl0_14
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f419,plain,
    ( sk_c7 != multiply(sk_c3,sk_c8)
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f415]) ).

fof(f415,plain,
    ( sk_c7 != multiply(sk_c3,sk_c8)
    | sk_c8 != sk_c8
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(superposition,[],[f116,f47]) ).

fof(f47,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f116,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f444,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f420,f115,f58,f49]) ).

fof(f420,plain,
    ( multiply(sk_c1,sk_c8) != sk_c7
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f414]) ).

fof(f414,plain,
    ( sk_c8 != sk_c8
    | multiply(sk_c1,sk_c8) != sk_c7
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f116,f60]) ).

fof(f385,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f375,f112,f36,f67]) ).

fof(f112,plain,
    ( spl0_13
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f375,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f374]) ).

fof(f374,plain,
    ( sk_c7 != inverse(sk_c2)
    | sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f113,f38]) ).

fof(f113,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f326,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f324]) ).

fof(f324,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f323,f1]) ).

fof(f323,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f322]) ).

fof(f322,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f320,f269]) ).

fof(f269,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f47,f252]) ).

fof(f252,plain,
    ( identity = sk_c3
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f242,f119]) ).

fof(f119,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f47]) ).

fof(f242,plain,
    ( ! [X12] : multiply(sk_c8,X12) = X12
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f184,f229]) ).

fof(f229,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f188,f136]) ).

fof(f136,plain,
    ( ! [X8] : multiply(sk_c8,multiply(sk_c3,X8)) = X8
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f125,f1]) ).

fof(f125,plain,
    ( ! [X8] : multiply(identity,X8) = multiply(sk_c8,multiply(sk_c3,X8))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f119]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f180]) ).

fof(f180,plain,
    ( sk_c8 = multiply(sk_c5,sk_c8)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f79,f176]) ).

fof(f176,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f65,f175]) ).

fof(f175,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f169,f137]) ).

fof(f137,plain,
    ( sk_c8 = multiply(sk_c6,sk_c6)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f131,f79]) ).

fof(f131,plain,
    ( ! [X12] : multiply(sk_c6,multiply(sk_c5,X12)) = X12
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f129,f1]) ).

fof(f129,plain,
    ( ! [X12] : multiply(sk_c6,multiply(sk_c5,X12)) = multiply(identity,X12)
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f121]) ).

fof(f121,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f87]) ).

fof(f169,plain,
    ( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f128,f141]) ).

fof(f141,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f132,f65]) ).

fof(f132,plain,
    ( ! [X9] : multiply(sk_c7,multiply(sk_c4,X9)) = X9
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f126,f1]) ).

fof(f126,plain,
    ( ! [X9] : multiply(sk_c7,multiply(sk_c4,X9)) = multiply(identity,X9)
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f120]) ).

fof(f120,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f56]) ).

fof(f56,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f128,plain,
    ( ! [X11] : multiply(sk_c4,multiply(sk_c7,X11)) = multiply(sk_c6,X11)
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f65]) ).

fof(f65,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl0_7
  <=> multiply(sk_c4,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f79,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f184,plain,
    ( ! [X12] : multiply(sk_c8,multiply(sk_c5,X12)) = X12
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f131,f176]) ).

fof(f320,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f319,f176]) ).

fof(f319,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f318,f277]) ).

fof(f277,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f268,f1]) ).

fof(f268,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f42,f252]) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f318,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f113,f277]) ).

fof(f288,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f286]) ).

fof(f286,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f193,f277]) ).

fof(f193,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f179,f185]) ).

fof(f185,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f137,f176]) ).

fof(f179,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f74,f176]) ).

fof(f74,plain,
    ( sk_c7 != multiply(sk_c6,sk_c8)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f118,plain,
    ( spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f27,f77,f67]) ).

fof(f27,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f117,plain,
    ( spl0_12
    | ~ spl0_9
    | spl0_13
    | spl0_14
    | spl0_14
    | spl0_13 ),
    inference(avatar_split_clause,[],[f34,f112,f115,f115,f112,f73,f109]) ).

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

fof(f107,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f31,f54,f73]) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f106,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f4,f49,f40]) ).

fof(f4,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f105,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f8,f49,f85]) ).

fof(f8,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f104,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f10,f58,f40]) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f103,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f58,f85]) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f101,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f21,f77,f36]) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f100,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f17,f45,f36]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f99,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f9,f49,f77]) ).

fof(f9,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f98,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f30,f63,f73]) ).

fof(f30,axiom,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f97,plain,
    ( spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f32,f85,f73]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f95,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f22,f67,f40]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f94,plain,
    ( spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f20,f36,f85]) ).

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

fof(f93,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f25,f67,f54]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f92,plain,
    ( spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f15,f77,f58]) ).

fof(f15,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f91,plain,
    ( spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f18,f36,f63]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f90,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f28,f73,f40]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f89,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f29,f73,f45]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f88,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f26,f85,f67]) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f83,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f54,f36]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f82,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f23,f67,f45]) ).

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

fof(f81,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f11,f45,f58]) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f80,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f33,f77,f73]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f70,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f24,f67,f63]) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c2)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f52,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f5,f49,f45]) ).

fof(f5,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f40,f36]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP261-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:33:26 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (9997)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)
% 0.21/0.53  % (10007)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)
% 0.21/0.53  % (10000)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)
% 1.35/0.53  % (9990)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)
% 1.35/0.53  % (10000)Instruction limit reached!
% 1.35/0.53  % (10000)------------------------------
% 1.35/0.53  % (10000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53  % (10000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53  % (10000)Termination reason: Unknown
% 1.35/0.53  % (10000)Termination phase: Saturation
% 1.35/0.53  
% 1.35/0.53  % (10000)Memory used [KB]: 6012
% 1.35/0.53  % (10000)Time elapsed: 0.124 s
% 1.35/0.53  % (10000)Instructions burned: 6 (million)
% 1.35/0.53  % (10000)------------------------------
% 1.35/0.53  % (10000)------------------------------
% 1.35/0.53  % (9990)Instruction limit reached!
% 1.35/0.53  % (9990)------------------------------
% 1.35/0.53  % (9990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53  % (9990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53  % (9990)Termination reason: Unknown
% 1.35/0.53  % (9990)Termination phase: Saturation
% 1.35/0.53  
% 1.35/0.53  % (9990)Memory used [KB]: 5884
% 1.35/0.53  % (9990)Time elapsed: 0.124 s
% 1.35/0.53  % (9990)Instructions burned: 5 (million)
% 1.35/0.53  % (9990)------------------------------
% 1.35/0.53  % (9990)------------------------------
% 1.35/0.53  % (9993)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.35/0.53  % (9998)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)
% 1.35/0.53  % (10014)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)
% 1.35/0.53  % (10012)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)
% 1.35/0.53  % (9998)Instruction limit reached!
% 1.35/0.53  % (9998)------------------------------
% 1.35/0.53  % (9998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53  % (9998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53  % (9998)Termination reason: Unknown
% 1.35/0.53  % (9998)Termination phase: Saturation
% 1.35/0.53  
% 1.35/0.53  % (9998)Memory used [KB]: 6012
% 1.35/0.53  % (9998)Time elapsed: 0.127 s
% 1.35/0.53  % (9998)Instructions burned: 6 (million)
% 1.35/0.53  % (9998)------------------------------
% 1.35/0.53  % (9998)------------------------------
% 1.35/0.54  % (9991)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)
% 1.35/0.54  % (10016)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)
% 1.35/0.54  % (10007)Instruction limit reached!
% 1.35/0.54  % (10007)------------------------------
% 1.35/0.54  % (10007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (10009)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)
% 1.35/0.54  % (9992)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)
% 1.35/0.54  % (10017)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)
% 1.35/0.54  % (10010)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)
% 1.35/0.54  % (10001)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)
% 1.35/0.54  % (9992)Refutation not found, incomplete strategy% (9992)------------------------------
% 1.35/0.54  % (9992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (9992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (9992)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.54  
% 1.35/0.54  % (9992)Memory used [KB]: 5884
% 1.35/0.54  % (9992)Time elapsed: 0.136 s
% 1.35/0.54  % (9992)Instructions burned: 3 (million)
% 1.35/0.54  % (9992)------------------------------
% 1.35/0.54  % (9992)------------------------------
% 1.35/0.54  % (9996)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)
% 1.35/0.54  % (9988)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.35/0.54  % (9999)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)
% 1.35/0.54  % (9996)Instruction limit reached!
% 1.35/0.54  % (9996)------------------------------
% 1.35/0.54  % (9996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (9996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (9996)Termination reason: Unknown
% 1.35/0.54  % (9996)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (9996)Memory used [KB]: 5884
% 1.35/0.54  % (9996)Time elapsed: 0.135 s
% 1.35/0.54  % (9996)Instructions burned: 4 (million)
% 1.35/0.54  % (9996)------------------------------
% 1.35/0.54  % (9996)------------------------------
% 1.35/0.54  % (10001)Instruction limit reached!
% 1.35/0.54  % (10001)------------------------------
% 1.35/0.54  % (10001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (10013)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)
% 1.35/0.54  % (10001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (10001)Termination reason: Unknown
% 1.35/0.54  % (10001)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (10001)Memory used [KB]: 5884
% 1.35/0.54  % (10001)Time elapsed: 0.006 s
% 1.35/0.54  % (10001)Instructions burned: 3 (million)
% 1.35/0.54  % (10001)------------------------------
% 1.35/0.54  % (10001)------------------------------
% 1.35/0.54  % (10011)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)
% 1.35/0.54  % (10007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (10007)Termination reason: Unknown
% 1.35/0.54  % (10007)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (10007)Memory used [KB]: 6012
% 1.35/0.54  % (10007)Time elapsed: 0.118 s
% 1.35/0.54  % (10007)Instructions burned: 8 (million)
% 1.35/0.54  % (10007)------------------------------
% 1.35/0.54  % (10007)------------------------------
% 1.35/0.55  % (10002)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)
% 1.35/0.55  % (10011)Refutation not found, incomplete strategy% (10011)------------------------------
% 1.35/0.55  % (10011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.55  % (10011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.55  % (10011)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.55  
% 1.35/0.55  % (10011)Memory used [KB]: 5884
% 1.35/0.55  % (10011)Time elapsed: 0.138 s
% 1.35/0.55  % (10011)Instructions burned: 2 (million)
% 1.35/0.55  % (10011)------------------------------
% 1.35/0.55  % (10011)------------------------------
% 1.35/0.55  % (9989)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)
% 1.35/0.55  % (10015)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)
% 1.35/0.55  % (10013)Refutation not found, incomplete strategy% (10013)------------------------------
% 1.35/0.55  % (10013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.55  % (10013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.55  % (10013)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.55  
% 1.35/0.55  % (10013)Memory used [KB]: 6012
% 1.35/0.55  % (9995)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)
% 1.35/0.55  % (10013)Time elapsed: 0.144 s
% 1.35/0.55  % (10013)Instructions burned: 6 (million)
% 1.35/0.55  % (10013)------------------------------
% 1.35/0.55  % (10013)------------------------------
% 1.58/0.55  % (9995)Refutation not found, incomplete strategy% (9995)------------------------------
% 1.58/0.55  % (9995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (9995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (9995)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.55  
% 1.58/0.55  % (9995)Memory used [KB]: 5884
% 1.58/0.55  % (9995)Time elapsed: 0.148 s
% 1.58/0.55  % (9995)Instructions burned: 3 (million)
% 1.58/0.55  % (9995)------------------------------
% 1.58/0.55  % (9995)------------------------------
% 1.58/0.55  % (9999)Instruction limit reached!
% 1.58/0.55  % (9999)------------------------------
% 1.58/0.55  % (9999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (9999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (9999)Termination reason: Unknown
% 1.58/0.55  % (9999)Termination phase: Saturation
% 1.58/0.55  
% 1.58/0.55  % (9999)Memory used [KB]: 6268
% 1.58/0.55  % (9999)Time elapsed: 0.145 s
% 1.58/0.55  % (9999)Instructions burned: 23 (million)
% 1.58/0.55  % (9999)------------------------------
% 1.58/0.55  % (9999)------------------------------
% 1.58/0.55  % (10005)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.58/0.55  % (10003)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)
% 1.58/0.55  % (10006)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)
% 1.58/0.55  % (10003)Instruction limit reached!
% 1.58/0.55  % (10003)------------------------------
% 1.58/0.55  % (10003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (10003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (10003)Termination reason: Unknown
% 1.58/0.55  % (10003)Termination phase: Finite model building preprocessing
% 1.58/0.55  
% 1.58/0.55  % (10003)Memory used [KB]: 6012
% 1.58/0.55  % (10003)Time elapsed: 0.004 s
% 1.58/0.55  % (10003)Instructions burned: 6 (million)
% 1.58/0.55  % (10003)------------------------------
% 1.58/0.55  % (10003)------------------------------
% 1.58/0.55  % (10004)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)
% 1.58/0.55  % (10004)Instruction limit reached!
% 1.58/0.55  % (10004)------------------------------
% 1.58/0.55  % (10004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (10005)Instruction limit reached!
% 1.58/0.55  % (10005)------------------------------
% 1.58/0.55  % (10005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (10004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (10004)Termination reason: Unknown
% 1.58/0.55  % (10005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (10004)Termination phase: Saturation
% 1.58/0.55  % (10005)Termination reason: Unknown
% 1.58/0.55  
% 1.58/0.55  % (10005)Termination phase: Saturation
% 1.58/0.55  
% 1.58/0.55  % (10004)Memory used [KB]: 5884
% 1.58/0.55  % (10005)Memory used [KB]: 6012
% 1.58/0.55  % (10004)Time elapsed: 0.002 s
% 1.58/0.55  % (10005)Time elapsed: 0.155 s
% 1.58/0.55  % (10004)Instructions burned: 2 (million)
% 1.58/0.55  % (10005)Instructions burned: 9 (million)
% 1.58/0.55  % (10004)------------------------------
% 1.58/0.55  % (10004)------------------------------
% 1.58/0.55  % (10005)------------------------------
% 1.58/0.55  % (10005)------------------------------
% 1.58/0.55  % (9994)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)
% 1.58/0.56  % (10008)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)
% 1.58/0.56  % (10008)Instruction limit reached!
% 1.58/0.56  % (10008)------------------------------
% 1.58/0.56  % (10008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (10008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (10008)Termination reason: Unknown
% 1.58/0.56  % (10008)Termination phase: Saturation
% 1.58/0.56  
% 1.58/0.56  % (10008)Memory used [KB]: 1407
% 1.58/0.56  % (10008)Time elapsed: 0.148 s
% 1.58/0.56  % (10008)Instructions burned: 6 (million)
% 1.58/0.56  % (10008)------------------------------
% 1.58/0.56  % (10008)------------------------------
% 1.58/0.56  % (10016)Refutation not found, incomplete strategy% (10016)------------------------------
% 1.58/0.56  % (10016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (10016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (10016)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56  
% 1.58/0.56  % (10016)Memory used [KB]: 5884
% 1.58/0.56  % (10016)Time elapsed: 0.130 s
% 1.58/0.56  % (10016)Instructions burned: 4 (million)
% 1.58/0.56  % (10016)------------------------------
% 1.58/0.56  % (10016)------------------------------
% 1.58/0.56  % (9993)First to succeed.
% 1.58/0.56  % (10014)Refutation not found, incomplete strategy% (10014)------------------------------
% 1.58/0.56  % (10014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56  % (10014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56  % (10014)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56  
% 1.58/0.56  % (10014)Memory used [KB]: 5884
% 1.58/0.56  % (10014)Time elapsed: 0.150 s
% 1.58/0.56  % (10014)Instructions burned: 3 (million)
% 1.58/0.56  % (10014)------------------------------
% 1.58/0.56  % (10014)------------------------------
% 1.58/0.58  % (10002)Instruction limit reached!
% 1.58/0.58  % (10002)------------------------------
% 1.58/0.58  % (10002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (10002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (10002)Termination reason: Unknown
% 1.58/0.58  % (10002)Termination phase: Saturation
% 1.58/0.58  
% 1.58/0.58  % (10002)Memory used [KB]: 1663
% 1.58/0.58  % (10002)Time elapsed: 0.135 s
% 1.58/0.58  % (10002)Instructions burned: 29 (million)
% 1.58/0.58  % (10002)------------------------------
% 1.58/0.58  % (10002)------------------------------
% 1.58/0.58  % (9993)Refutation found. Thanks to Tanya!
% 1.58/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.58/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.58  % (9993)------------------------------
% 1.58/0.58  % (9993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (9993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (9993)Termination reason: Refutation
% 1.58/0.58  
% 1.58/0.58  % (9993)Memory used [KB]: 6140
% 1.58/0.58  % (9993)Time elapsed: 0.139 s
% 1.58/0.58  % (9993)Instructions burned: 20 (million)
% 1.58/0.58  % (9993)------------------------------
% 1.58/0.58  % (9993)------------------------------
% 1.58/0.58  % (9987)Success in time 0.217 s
%------------------------------------------------------------------------------