TSTP Solution File: SYO903_10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Tue May 21 09:16:11 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  145 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :  653 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  844 ( 328   ~; 400   |;   1   &)
%                                         (  16 <=>;  99  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   5   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;  18 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :  249 ( 246   !;   3   ?; 249   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    '$ki_world': $tType ).

tff(func_def_0,type,
    '$ki_local_world': '$ki_world' ).

tff(func_def_1,type,
    sK0: '$ki_world' ).

tff(pred_def_1,type,
    '$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).

tff(pred_def_2,type,
    v1: '$ki_world' > $o ).

tff(pred_def_3,type,
    v2: '$ki_world' > $o ).

tff(pred_def_4,type,
    v3: '$ki_world' > $o ).

tff(pred_def_5,type,
    v4: '$ki_world' > $o ).

tff(f396,plain,
    $false,
    inference(avatar_sat_refutation,[],[f229,f240,f275,f280,f288,f300,f302,f307,f309,f314,f315,f320,f324,f331,f338,f344,f349,f354,f359,f364,f365,f380,f393,f394,f395]) ).

tff(f395,plain,
    ( spl1_16
    | ~ spl1_19 ),
    inference(avatar_split_clause,[],[f367,f290,f271]) ).

tff(f271,plain,
    ( spl1_16
  <=> v1('$ki_local_world') ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).

tff(f290,plain,
    ( spl1_19
  <=> ! [X4: '$ki_world'] :
        ( v1(X4)
        | ~ '$ki_accessible'('$ki_local_world',X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).

tff(f367,plain,
    ( v1('$ki_local_world')
    | ~ spl1_19 ),
    inference(resolution,[],[f291,f212]) ).

tff(f212,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f291,plain,
    ( ! [X4: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X4)
        | v1(X4) )
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f290]) ).

tff(f394,plain,
    ( spl1_5
    | ~ spl1_8 ),
    inference(avatar_split_clause,[],[f333,f242,f231]) ).

tff(f231,plain,
    ( spl1_5
  <=> v4('$ki_local_world') ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

tff(f242,plain,
    ( spl1_8
  <=> ! [X4: '$ki_world'] :
        ( v4(X4)
        | ~ '$ki_accessible'('$ki_local_world',X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

tff(f333,plain,
    ( v4('$ki_local_world')
    | ~ spl1_8 ),
    inference(resolution,[],[f243,f212]) ).

tff(f243,plain,
    ( ! [X4: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X4)
        | v4(X4) )
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f242]) ).

tff(f393,plain,
    ( ~ spl1_11
    | ~ spl1_16 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

tff(f392,plain,
    ( $false
    | ~ spl1_11
    | ~ spl1_16 ),
    inference(subsumption_resolution,[],[f391,f212]) ).

tff(f391,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ spl1_11
    | ~ spl1_16 ),
    inference(resolution,[],[f388,f212]) ).

tff(f388,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ '$ki_accessible'(X0,'$ki_local_world')
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ spl1_11
    | ~ spl1_16 ),
    inference(resolution,[],[f253,f272]) ).

tff(f272,plain,
    ( v1('$ki_local_world')
    | ~ spl1_16 ),
    inference(avatar_component_clause,[],[f271]) ).

tff(f253,plain,
    ( ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ v1(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) )
    | ~ spl1_11 ),
    inference(avatar_component_clause,[],[f252]) ).

tff(f252,plain,
    ( spl1_11
  <=> ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ v1(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

tff(f380,plain,
    ( ~ spl1_5
    | ~ spl1_14 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

tff(f379,plain,
    ( $false
    | ~ spl1_5
    | ~ spl1_14 ),
    inference(subsumption_resolution,[],[f378,f212]) ).

tff(f378,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ spl1_5
    | ~ spl1_14 ),
    inference(resolution,[],[f376,f212]) ).

tff(f376,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ '$ki_accessible'(X0,'$ki_local_world')
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ spl1_5
    | ~ spl1_14 ),
    inference(resolution,[],[f264,f232]) ).

tff(f232,plain,
    ( v4('$ki_local_world')
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f231]) ).

tff(f264,plain,
    ( ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ v4(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) )
    | ~ spl1_14 ),
    inference(avatar_component_clause,[],[f263]) ).

tff(f263,plain,
    ( spl1_14
  <=> ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ v4(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

tff(f365,plain,
    ( spl1_2
    | ~ spl1_15 ),
    inference(avatar_split_clause,[],[f346,f267,f220]) ).

tff(f220,plain,
    ( spl1_2
  <=> v3('$ki_local_world') ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f267,plain,
    ( spl1_15
  <=> ! [X3: '$ki_world'] :
        ( v3(X3)
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

tff(f346,plain,
    ( v3('$ki_local_world')
    | ~ spl1_15 ),
    inference(resolution,[],[f268,f212]) ).

tff(f268,plain,
    ( ! [X3: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X3)
        | v3(X3) )
    | ~ spl1_15 ),
    inference(avatar_component_clause,[],[f267]) ).

tff(f364,plain,
    ( ~ spl1_2
    | ~ spl1_10 ),
    inference(avatar_contradiction_clause,[],[f363]) ).

tff(f363,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f362,f212]) ).

tff(f362,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ spl1_2
    | ~ spl1_10 ),
    inference(resolution,[],[f360,f212]) ).

tff(f360,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ '$ki_accessible'(X0,'$ki_local_world')
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ spl1_2
    | ~ spl1_10 ),
    inference(resolution,[],[f249,f221]) ).

tff(f221,plain,
    ( v3('$ki_local_world')
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f220]) ).

tff(f249,plain,
    ( ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ v3(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) )
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f248]) ).

tff(f248,plain,
    ( spl1_10
  <=> ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ v3(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

tff(f359,plain,
    ( ~ spl1_6
    | ~ spl1_20 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

tff(f356,plain,
    ( $false
    | ~ spl1_6
    | ~ spl1_20 ),
    inference(resolution,[],[f355,f214]) ).

tff(f214,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(cnf_transformation,[],[f161]) ).

tff(f161,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f107,f160]) ).

tff(f160,plain,
    ( ? [X0: '$ki_world'] : '$ki_accessible'('$ki_local_world',X0)
   => '$ki_accessible'('$ki_local_world',sK0) ),
    introduced(choice_axiom,[]) ).

tff(f107,plain,
    ? [X0: '$ki_world'] : '$ki_accessible'('$ki_local_world',X0),
    inference(true_and_false_elimination,[],[f53]) ).

tff(f53,axiom,
    ? [X0: '$ki_world'] :
      ( $true
      & '$ki_accessible'('$ki_local_world',X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deontic1) ).

tff(f355,plain,
    ( ! [X2: '$ki_world'] : ~ '$ki_accessible'('$ki_local_world',X2)
    | ~ spl1_6
    | ~ spl1_20 ),
    inference(subsumption_resolution,[],[f236,f306]) ).

tff(f306,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X2)
        | v2(X2) )
    | ~ spl1_20 ),
    inference(avatar_component_clause,[],[f305]) ).

tff(f305,plain,
    ( spl1_20
  <=> ! [X2: '$ki_world'] :
        ( v2(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).

tff(f236,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ v2(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f235]) ).

tff(f235,plain,
    ( spl1_6
  <=> ! [X2: '$ki_world'] :
        ( ~ v2(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

tff(f354,plain,
    ( spl1_1
    | ~ spl1_20 ),
    inference(avatar_split_clause,[],[f351,f305,f216]) ).

tff(f216,plain,
    ( spl1_1
  <=> v2('$ki_local_world') ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f351,plain,
    ( v2('$ki_local_world')
    | ~ spl1_20 ),
    inference(resolution,[],[f306,f212]) ).

tff(f349,plain,
    ( spl1_20
    | ~ spl1_9 ),
    inference(avatar_split_clause,[],[f348,f245,f305]) ).

tff(f245,plain,
    ( spl1_9
  <=> ! [X2: '$ki_world',X3: '$ki_world'] :
        ( v2(X3)
        | ~ '$ki_accessible'('$ki_local_world',X2)
        | ~ '$ki_accessible'(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

tff(f348,plain,
    ( ! [X0: '$ki_world'] :
        ( v2(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ spl1_9 ),
    inference(resolution,[],[f246,f212]) ).

tff(f246,plain,
    ( ! [X2: '$ki_world',X3: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X2)
        | v2(X3)
        | ~ '$ki_accessible'(X2,X3) )
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f245]) ).

tff(f344,plain,
    ( ~ spl1_4
    | ~ spl1_14 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

tff(f343,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_14 ),
    inference(resolution,[],[f341,f212]) ).

tff(f341,plain,
    ( ! [X0: '$ki_world'] : ~ '$ki_accessible'(sK0,X0)
    | ~ spl1_4
    | ~ spl1_14 ),
    inference(resolution,[],[f339,f214]) ).

tff(f339,plain,
    ( ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) )
    | ~ spl1_4
    | ~ spl1_14 ),
    inference(subsumption_resolution,[],[f264,f228]) ).

tff(f228,plain,
    ( ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X0)
        | v4(X1)
        | ~ '$ki_accessible'(X0,X1) )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f227]) ).

tff(f227,plain,
    ( spl1_4
  <=> ! [X0: '$ki_world',X1: '$ki_world'] :
        ( v4(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f338,plain,
    ( spl1_15
    | ~ spl1_7 ),
    inference(avatar_split_clause,[],[f337,f238,f267]) ).

tff(f238,plain,
    ( spl1_7
  <=> ! [X0: '$ki_world',X1: '$ki_world'] :
        ( v3(X1)
        | ~ '$ki_accessible'('$ki_local_world',X0)
        | ~ '$ki_accessible'(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

tff(f337,plain,
    ( ! [X0: '$ki_world'] :
        ( v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ spl1_7 ),
    inference(resolution,[],[f239,f212]) ).

tff(f239,plain,
    ( ! [X0: '$ki_world',X1: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X0)
        | v3(X1)
        | ~ '$ki_accessible'(X0,X1) )
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f238]) ).

tff(f331,plain,
    ( spl1_19
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f330,f224,f290]) ).

tff(f224,plain,
    ( spl1_3
  <=> ! [X2: '$ki_world',X3: '$ki_world'] :
        ( v1(X3)
        | ~ '$ki_accessible'('$ki_local_world',X2)
        | ~ '$ki_accessible'(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f330,plain,
    ( ! [X0: '$ki_world'] :
        ( v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f225,f212]) ).

tff(f225,plain,
    ( ! [X2: '$ki_world',X3: '$ki_world'] :
        ( ~ '$ki_accessible'('$ki_local_world',X2)
        | v1(X3)
        | ~ '$ki_accessible'(X2,X3) )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f224]) ).

tff(f324,plain,
    ( spl1_5
    | ~ spl1_2
    | spl1_19
    | spl1_9 ),
    inference(avatar_split_clause,[],[f207,f245,f290,f220,f231]) ).

tff(f207,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | v4('$ki_local_world') ),
    inference(cnf_transformation,[],[f153]) ).

tff(f153,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v2(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( v1(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(ennf_transformation,[],[f102]) ).

tff(f102,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => v1(X2) )
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(rectify,[],[f32]) ).

tff(f32,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v2(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat30) ).

tff(f320,plain,
    ( spl1_16
    | spl1_2
    | spl1_7
    | spl1_4 ),
    inference(avatar_split_clause,[],[f203,f227,f238,f220,f271]) ).

tff(f203,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v3('$ki_local_world')
      | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | v3('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f98]) ).

tff(f98,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v3(X3) ) )
    | v3('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v3(X3) ) )
    | v3('$ki_local_world')
    | v1('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat5) ).

tff(f315,plain,
    ( spl1_16
    | ~ spl1_5
    | spl1_10
    | spl1_14 ),
    inference(avatar_split_clause,[],[f198,f263,f248,f231,f271]) ).

tff(f198,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v4('$ki_local_world')
      | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v4('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f93]) ).

tff(f93,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v3(X3) ) )
    | ~ v4('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v3(X3) ) )
    | ~ v4('$ki_local_world')
    | v1('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat11) ).

tff(f314,plain,
    ( spl1_16
    | ~ spl1_2
    | spl1_8
    | spl1_14 ),
    inference(avatar_split_clause,[],[f197,f263,f242,f220,f271]) ).

tff(f197,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f143]) ).

tff(f143,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( v4(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f92]) ).

tff(f92,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => v4(X2) )
    | ~ v3('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(rectify,[],[f11]) ).

tff(f11,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ~ v3('$ki_local_world')
    | v1('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat9) ).

tff(f309,plain,
    ( spl1_2
    | spl1_5
    | spl1_3
    | spl1_14 ),
    inference(avatar_split_clause,[],[f192,f263,f224,f231,f220]) ).

tff(f192,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v4('$ki_local_world')
      | v3('$ki_local_world') ),
    inference(cnf_transformation,[],[f138]) ).

tff(f138,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(ennf_transformation,[],[f87]) ).

tff(f87,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v1(X3) ) )
    | v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(rectify,[],[f25]) ).

tff(f25,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v1(X3) ) )
    | v4('$ki_local_world')
    | v3('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat23) ).

tff(f307,plain,
    ( spl1_2
    | spl1_5
    | spl1_20
    | spl1_3 ),
    inference(avatar_split_clause,[],[f190,f224,f305,f231,f220]) ).

tff(f190,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v4('$ki_local_world')
      | v3('$ki_local_world') ),
    inference(cnf_transformation,[],[f136]) ).

tff(f136,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( v2(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(ennf_transformation,[],[f85]) ).

tff(f85,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => v2(X2) )
    | v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(rectify,[],[f24]) ).

tff(f24,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v1(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v2(X0) )
    | v4('$ki_local_world')
    | v3('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat22) ).

tff(f302,plain,
    ( spl1_2
    | ~ spl1_16
    | spl1_3
    | spl1_9 ),
    inference(avatar_split_clause,[],[f188,f245,f224,f271,f220]) ).

tff(f188,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v1('$ki_local_world')
      | v3('$ki_local_world') ),
    inference(cnf_transformation,[],[f134]) ).

tff(f134,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v2(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v1('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(ennf_transformation,[],[f83]) ).

tff(f83,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v1(X3) ) )
    | ~ v1('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(rectify,[],[f27]) ).

tff(f27,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v2(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v1(X3) ) )
    | ~ v1('$ki_local_world')
    | v3('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat25) ).

tff(f300,plain,
    ( spl1_1
    | spl1_8
    | spl1_9
    | spl1_7 ),
    inference(avatar_split_clause,[],[f186,f238,f245,f242,f216]) ).

tff(f186,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v4(X4)
      | ~ '$ki_accessible'('$ki_local_world',X4)
      | v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f132]) ).

tff(f132,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v2(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ! [X4: '$ki_world'] :
        ( v4(X4)
        | ~ '$ki_accessible'('$ki_local_world',X4) )
    | v2('$ki_local_world') ),
    inference(ennf_transformation,[],[f81]) ).

tff(f81,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v2(X3) ) )
    | ! [X4: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X4)
       => v4(X4) )
    | v2('$ki_local_world') ),
    inference(rectify,[],[f21]) ).

tff(f21,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v3(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v2(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | v2('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat19) ).

tff(f288,plain,
    ( ~ spl1_5
    | spl1_15
    | spl1_9
    | spl1_14 ),
    inference(avatar_split_clause,[],[f177,f263,f245,f267,f231]) ).

tff(f177,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v3(X4)
      | ~ '$ki_accessible'('$ki_local_world',X4)
      | ~ v4('$ki_local_world') ),
    inference(cnf_transformation,[],[f123]) ).

tff(f123,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v2(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ! [X4: '$ki_world'] :
        ( v3(X4)
        | ~ '$ki_accessible'('$ki_local_world',X4) )
    | ~ v4('$ki_local_world') ),
    inference(ennf_transformation,[],[f72]) ).

tff(f72,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v2(X3) ) )
    | ! [X4: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X4)
       => v3(X4) )
    | ~ v4('$ki_local_world') ),
    inference(rectify,[],[f50]) ).

tff(f50,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v2(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ~ v4('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat48) ).

tff(f280,plain,
    ( ~ spl1_16
    | ~ spl1_2
    | spl1_11
    | spl1_10 ),
    inference(avatar_split_clause,[],[f172,f248,f252,f220,f271]) ).

tff(f172,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | ~ v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f67]) ).

tff(f67,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v1(X3) ) )
    | ~ v3('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(rectify,[],[f38]) ).

tff(f38,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v3(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v1(X3) ) )
    | ~ v3('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat36) ).

tff(f275,plain,
    ( ~ spl1_16
    | ~ spl1_1
    | spl1_15
    | spl1_11 ),
    inference(avatar_split_clause,[],[f170,f252,f267,f216,f271]) ).

tff(f170,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v2('$ki_local_world')
      | ~ v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f116]) ).

tff(f116,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( v3(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v2('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f65]) ).

tff(f65,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => v3(X2) )
    | ~ v2('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(rectify,[],[f35]) ).

tff(f35,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v1(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ~ v2('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat33) ).

tff(f240,plain,
    ( ~ spl1_1
    | ~ spl1_5
    | spl1_6
    | spl1_7 ),
    inference(avatar_split_clause,[],[f163,f238,f235,f231,f216]) ).

tff(f163,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v2(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v4('$ki_local_world')
      | ~ v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f109]) ).

tff(f109,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ~ v2(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v4('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    inference(ennf_transformation,[],[f58]) ).

tff(f58,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ~ v2(X2) )
    | ~ v4('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    inference(rectify,[],[f43]) ).

tff(f43,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v3(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ~ v4('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat41) ).

tff(f229,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f162,f227,f224,f220,f216]) ).

tff(f162,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | ~ v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f108]) ).

tff(f108,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    inference(ennf_transformation,[],[f57]) ).

tff(f57,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v1(X3) ) )
    | ~ v3('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    inference(rectify,[],[f42]) ).

tff(f42,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v1(X3) ) )
    | ~ v3('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 09:45:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (12766)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (12767)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (12769)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (12771)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (12770)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (12768)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (12773)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (12772)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [2]
% 0.15/0.38  % (12772)First to succeed.
% 0.15/0.38  TRYING [1]
% 0.15/0.38  % (12767)Also succeeded, but the first one will report.
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.39  % (12773)Also succeeded, but the first one will report.
% 0.15/0.39  % (12772)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12766"
% 0.15/0.39  % (12770)Also succeeded, but the first one will report.
% 0.15/0.39  % (12772)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (12772)------------------------------
% 0.15/0.39  % (12772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (12772)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (12772)Memory used [KB]: 976
% 0.15/0.39  % (12772)Time elapsed: 0.010 s
% 0.15/0.39  % (12772)Instructions burned: 14 (million)
% 0.15/0.39  % (12766)Success in time 0.032 s
%------------------------------------------------------------------------------