TSTP Solution File: NLP266_4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 01:03:32 EDT 2024

% Result   : Theorem 0.56s 0.72s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  110 (  16 unt;  16 typ;   0 def)
%            Number of atoms       :  624 (   0 equ)
%            Maximal formula atoms :   13 (   6 avg)
%            Number of connectives :  693 ( 300   ~; 305   |;  50   &)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :  137 ( 137 fml;   0 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   34 (  13   >;  21   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   4 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-4 aty)
%            Number of variables   :  337 ( 307   !;  30   ?; 284   :)

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

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

tff(func_def_3,type,
    sK0: '$ki_world' ).

tff(func_def_4,type,
    sK1: ( $i * $i ) > '$ki_world' ).

tff(func_def_5,type,
    sK2: ( $i * $i * $i * $i ) > '$ki_world' ).

tff(func_def_7,type,
    sK4: '$ki_world' > $i ).

tff(func_def_9,type,
    sK6: ( '$ki_world' * $i * $i * $i ) > $i ).

tff(func_def_10,type,
    sK7: '$ki_world' > $i ).

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

tff(pred_def_2,type,
    number: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_3,type,
    string: ( '$ki_world' * $i ) > $o ).

tff(pred_def_4,type,
    in: ( '$ki_world' * $i * $i * $i ) > $o ).

tff(pred_def_5,type,
    do: ( '$ki_world' * $i * $i * $i ) > $o ).

tff(pred_def_6,type,
    entry_box: ( '$ki_world' * $i ) > $o ).

tff(pred_def_7,type,
    userid: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_8,type,
    '$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).

tff(f242,plain,
    $false,
    inference(subsumption_resolution,[],[f228,f157]) ).

tff(f157,plain,
    userid(sK1(sK4(sK0),sK5),u,sK4(sK0)),
    inference(unit_resulting_resolution,[],[f32,f143,f35]) ).

tff(f35,plain,
    ! [X2: '$ki_world',X0: '$ki_world'] :
      ( userid(X2,u,sK4(X0))
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X0: '$ki_world'] :
      ( ? [X1] :
          ( ! [X2: '$ki_world'] :
              ( ( string(X2,X1)
                & userid(X2,u,X1) )
              | ~ '$ki_accessible'(X0,X2) )
          & '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X1] :
          ( ! [X2: '$ki_world'] :
              ( '$ki_accessible'(X0,X2)
             => ( string(X2,X1)
                & userid(X2,u,X1) ) )
          & '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X4] :
          ( ! [X5: '$ki_world'] :
              ( '$ki_accessible'(X0,X5)
             => ( string(X5,X4)
                & userid(X5,u,X4) ) )
          & '$ki_exists_in_world_$i'(X0,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f143,plain,
    '$ki_accessible'(sK0,sK1(sK4(sK0),sK5)),
    inference(unit_resulting_resolution,[],[f72,f70,f139]) ).

tff(f139,plain,
    ! [X0: $i,X1: $i] :
      ( '$ki_accessible'(sK0,sK1(X1,X0))
      | ~ string(sK0,X1)
      | ~ entry_box(sK0,X0) ),
    inference(subsumption_resolution,[],[f134,f32]) ).

tff(f134,plain,
    ! [X0: $i,X1: $i] :
      ( ~ entry_box(sK0,X0)
      | ~ string(sK0,X1)
      | ~ '$ki_accessible'('$ki_local_world',sK0)
      | '$ki_accessible'(sK0,sK1(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f133]) ).

tff(f133,plain,
    ! [X0: $i,X1: $i] :
      ( ~ entry_box(sK0,X0)
      | ~ string(sK0,X1)
      | ~ '$ki_accessible'('$ki_local_world',sK0)
      | '$ki_accessible'(sK0,sK1(X1,X0))
      | '$ki_accessible'(sK0,sK1(X1,X0)) ),
    inference(resolution,[],[f129,f48]) ).

tff(f48,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK0,sK2(X1,X2,X3,X4))
      | '$ki_accessible'(sK0,sK1(X1,X2)) ),
    inference(subsumption_resolution,[],[f47,f44]) ).

tff(f44,plain,
    ! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X0: '$ki_world',X3] : '$ki_exists_in_world_$i'(X0,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).

tff(f47,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f46,f44]) ).

tff(f46,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f45,f44]) ).

tff(f45,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f31,f44]) ).

tff(f31,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X1)
      | ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ? [X5: '$ki_world'] :
                          ( ? [X6] :
                              ( ~ in(X5,X1,X2,X6)
                              & do(X5,X4,X3,X6)
                              & '$ki_exists_in_world_$i'(X5,X6) )
                          & '$ki_accessible'(X0,X5) )
                      | ? [X7: '$ki_world'] :
                          ( ( ~ number(X7,X2,one)
                            | ~ entry_box(X7,X2)
                            | ~ userid(X7,u,X1) )
                          & '$ki_accessible'(X0,X7) )
                      | ~ '$ki_exists_in_world_$i'(X0,X4) )
                  | ~ '$ki_exists_in_world_$i'(X0,X3) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(flattening,[],[f16]) ).

tff(f16,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ? [X5: '$ki_world'] :
                          ( ? [X6] :
                              ( ~ in(X5,X1,X2,X6)
                              & do(X5,X4,X3,X6)
                              & '$ki_exists_in_world_$i'(X5,X6) )
                          & '$ki_accessible'(X0,X5) )
                      | ? [X7: '$ki_world'] :
                          ( ( ~ number(X7,X2,one)
                            | ~ entry_box(X7,X2)
                            | ~ userid(X7,u,X1) )
                          & '$ki_accessible'(X0,X7) )
                      | ~ '$ki_exists_in_world_$i'(X0,X4) )
                  | ~ '$ki_exists_in_world_$i'(X0,X3) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,plain,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X6] :
                                ( '$ki_exists_in_world_$i'(X5,X6)
                               => ( do(X5,X4,X3,X6)
                                 => in(X5,X1,X2,X6) ) ) )
                        & ! [X7: '$ki_world'] :
                            ( '$ki_accessible'(X0,X7)
                           => ( number(X7,X2,one)
                              & entry_box(X7,X2)
                              & userid(X7,u,X1) ) )
                        & '$ki_exists_in_world_$i'(X0,X4) )
                    & '$ki_exists_in_world_$i'(X0,X3) )
                & '$ki_exists_in_world_$i'(X0,X2) )
            & '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

tff(f9,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X4] :
            ( ? [X6] :
                ( ? [X8] :
                    ( ? [X7] :
                        ( ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X9] :
                                ( '$ki_exists_in_world_$i'(X5,X9)
                               => ( do(X5,X7,X8,X9)
                                 => in(X5,X4,X6,X9) ) ) )
                        & ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ( number(X5,X6,one)
                              & entry_box(X5,X6)
                              & userid(X5,u,X4) ) )
                        & '$ki_exists_in_world_$i'(X0,X7) )
                    & '$ki_exists_in_world_$i'(X0,X8) )
                & '$ki_exists_in_world_$i'(X0,X6) )
            & '$ki_exists_in_world_$i'(X0,X4) ) ),
    inference(negated_conjecture,[],[f8]) ).

tff(f8,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X4] :
          ( ? [X6] :
              ( ? [X8] :
                  ( ? [X7] :
                      ( ! [X5: '$ki_world'] :
                          ( '$ki_accessible'(X0,X5)
                         => ! [X9] :
                              ( '$ki_exists_in_world_$i'(X5,X9)
                             => ( do(X5,X7,X8,X9)
                               => in(X5,X4,X6,X9) ) ) )
                      & ! [X5: '$ki_world'] :
                          ( '$ki_accessible'(X0,X5)
                         => ( number(X5,X6,one)
                            & entry_box(X5,X6)
                            & userid(X5,u,X4) ) )
                      & '$ki_exists_in_world_$i'(X0,X7) )
                  & '$ki_exists_in_world_$i'(X0,X8) )
              & '$ki_exists_in_world_$i'(X0,X6) )
          & '$ki_exists_in_world_$i'(X0,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(f129,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
      ( ~ '$ki_accessible'(X0,sK2(X1,X2,sK6(X0,X3,X1,X2),X3))
      | ~ entry_box(X0,X2)
      | ~ string(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | '$ki_accessible'(sK0,sK1(X1,X2)) ),
    inference(duplicate_literal_removal,[],[f128]) ).

tff(f128,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i] :
      ( ~ string(X0,X1)
      | ~ entry_box(X0,X2)
      | ~ '$ki_accessible'(X0,sK2(X1,X2,sK6(X0,X3,X1,X2),X3))
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | '$ki_accessible'(sK0,sK1(X1,X2)) ),
    inference(resolution,[],[f95,f64]) ).

tff(f64,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4))
      | '$ki_accessible'(sK0,sK1(X1,X2)) ),
    inference(subsumption_resolution,[],[f63,f44]) ).

tff(f63,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f62,f44]) ).

tff(f62,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f61,f44]) ).

tff(f61,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f26,f44]) ).

tff(f26,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X1)
      | ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f95,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | '$ki_accessible'(sK0,sK1(X0,X1)) ),
    inference(subsumption_resolution,[],[f94,f44]) ).

tff(f94,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( '$ki_accessible'(sK0,sK1(X0,X1))
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(subsumption_resolution,[],[f93,f44]) ).

tff(f93,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( '$ki_accessible'(sK0,sK1(X0,X1))
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(subsumption_resolution,[],[f92,f44]) ).

tff(f92,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( '$ki_accessible'(sK0,sK1(X0,X1))
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(subsumption_resolution,[],[f91,f44]) ).

tff(f91,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( '$ki_accessible'(sK0,sK1(X0,X1))
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(resolution,[],[f68,f41]) ).

tff(f41,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
      ( ~ do(X5,X1,sK6(X0,X1,X2,X3),X6)
      | ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ '$ki_exists_in_world_$i'(X0,X2)
      | ~ '$ki_exists_in_world_$i'(X0,X3)
      | ~ string(X0,X2)
      | ~ entry_box(X0,X3)
      | ~ '$ki_accessible'(X0,X5)
      | ~ '$ki_exists_in_world_$i'(X5,X6)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | in(X5,X2,X3,X6) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ? [X4] :
                      ( ! [X5: '$ki_world'] :
                          ( ! [X6] :
                              ( in(X5,X2,X3,X6)
                              | ~ do(X5,X1,X4,X6)
                              | ~ '$ki_exists_in_world_$i'(X5,X6) )
                          | ~ '$ki_accessible'(X0,X5) )
                      & '$ki_exists_in_world_$i'(X0,X4) )
                  | ~ entry_box(X0,X3)
                  | ~ string(X0,X2)
                  | ~ '$ki_exists_in_world_$i'(X0,X3) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(flattening,[],[f22]) ).

tff(f22,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ? [X4] :
                      ( ! [X5: '$ki_world'] :
                          ( ! [X6] :
                              ( in(X5,X2,X3,X6)
                              | ~ do(X5,X1,X4,X6)
                              | ~ '$ki_exists_in_world_$i'(X5,X6) )
                          | ~ '$ki_accessible'(X0,X5) )
                      & '$ki_exists_in_world_$i'(X0,X4) )
                  | ~ entry_box(X0,X3)
                  | ~ string(X0,X2)
                  | ~ '$ki_exists_in_world_$i'(X0,X3) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
         => ! [X2] :
              ( '$ki_exists_in_world_$i'(X0,X2)
             => ! [X3] :
                  ( '$ki_exists_in_world_$i'(X0,X3)
                 => ( ( entry_box(X0,X3)
                      & string(X0,X2) )
                   => ? [X4] :
                        ( ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X6] :
                                ( '$ki_exists_in_world_$i'(X5,X6)
                               => ( do(X5,X1,X4,X6)
                                 => in(X5,X2,X3,X6) ) ) )
                        & '$ki_exists_in_world_$i'(X0,X4) ) ) ) ) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X7] :
          ( '$ki_exists_in_world_$i'(X0,X7)
         => ! [X4] :
              ( '$ki_exists_in_world_$i'(X0,X4)
             => ! [X6] :
                  ( '$ki_exists_in_world_$i'(X0,X6)
                 => ( ( entry_box(X0,X6)
                      & string(X0,X4) )
                   => ? [X8] :
                        ( ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X0,X5)
                           => ! [X9] :
                                ( '$ki_exists_in_world_$i'(X5,X9)
                               => ( do(X5,X7,X8,X9)
                                 => in(X5,X4,X6,X9) ) ) )
                        & '$ki_exists_in_world_$i'(X0,X8) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

tff(f68,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4))
      | '$ki_accessible'(sK0,sK1(X1,X2)) ),
    inference(subsumption_resolution,[],[f67,f44]) ).

tff(f67,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f66,f44]) ).

tff(f66,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f65,f44]) ).

tff(f65,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f25,f44]) ).

tff(f25,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X1)
      | ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | '$ki_accessible'(sK0,sK1(X1,X2))
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f70,plain,
    string(sK0,sK4(sK0)),
    inference(unit_resulting_resolution,[],[f34,f32,f36]) ).

tff(f36,plain,
    ! [X2: '$ki_world',X0: '$ki_world'] :
      ( string(X2,sK4(X0))
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f34,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(f72,plain,
    entry_box(sK0,sK5),
    inference(unit_resulting_resolution,[],[f32,f38]) ).

tff(f38,plain,
    ! [X1: '$ki_world'] :
      ( entry_box(X1,sK5)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ? [X0] :
      ( ! [X1: '$ki_world'] :
          ( ( number(X1,X0,one)
            & entry_box(X1,X0) )
          | ~ '$ki_accessible'('$ki_local_world',X1) )
      & '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ? [X0] :
      ( ! [X1: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X1)
         => ( number(X1,X0,one)
            & entry_box(X1,X0) ) )
      & '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ? [X6] :
      ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => ( number(X0,X6,one)
            & entry_box(X0,X6) ) )
      & '$ki_exists_in_world_$i'('$ki_local_world',X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f32,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(cnf_transformation,[],[f17]) ).

tff(f228,plain,
    ~ userid(sK1(sK4(sK0),sK5),u,sK4(sK0)),
    inference(unit_resulting_resolution,[],[f72,f32,f70,f176,f177,f152,f142]) ).

tff(f142,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
      ( ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X0,X1),X3))
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ string(X2,X0)
      | ~ entry_box(X2,X1)
      | ~ number(sK1(X0,X1),X1,one)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ entry_box(sK1(X0,X1),X1) ),
    inference(duplicate_literal_removal,[],[f140]) ).

tff(f140,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i] :
      ( ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ string(X2,X0)
      | ~ entry_box(X2,X1)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X0,X1),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ entry_box(sK1(X0,X1),X1)
      | ~ entry_box(sK1(X0,X1),X1)
      | ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0) ),
    inference(resolution,[],[f126,f56]) ).

tff(f56,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4))
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | ~ userid(sK1(X1,X2),u,X1) ),
    inference(subsumption_resolution,[],[f55,f44]) ).

tff(f55,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f54,f44]) ).

tff(f54,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f53,f44]) ).

tff(f53,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f29,f44]) ).

tff(f29,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X1)
      | ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | ~ in(sK2(X1,X2,X3,X4),X1,X2,sK3(X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f126,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ entry_box(sK1(X0,X1),X1) ),
    inference(subsumption_resolution,[],[f125,f44]) ).

tff(f125,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ entry_box(sK1(X0,X1),X1)
      | ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(subsumption_resolution,[],[f124,f44]) ).

tff(f124,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ entry_box(sK1(X0,X1),X1)
      | ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(subsumption_resolution,[],[f123,f44]) ).

tff(f123,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ entry_box(sK1(X0,X1),X1)
      | ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(subsumption_resolution,[],[f122,f44]) ).

tff(f122,plain,
    ! [X2: '$ki_world',X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ entry_box(sK1(X0,X1),X1)
      | ~ number(sK1(X0,X1),X1,one)
      | ~ userid(sK1(X0,X1),u,X0)
      | ~ '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_exists_in_world_$i'(X2,X4)
      | ~ '$ki_exists_in_world_$i'(X2,X5)
      | ~ string(X2,X4)
      | ~ entry_box(X2,X5)
      | ~ '$ki_accessible'(X2,sK2(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_exists_in_world_$i'(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),sK3(X0,X1,sK6(X2,X3,X4,X5),X3))
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | in(sK2(X0,X1,sK6(X2,X3,X4,X5),X3),X4,X5,sK3(X0,X1,sK6(X2,X3,X4,X5),X3)) ),
    inference(resolution,[],[f60,f41]) ).

tff(f60,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4))
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | ~ userid(sK1(X1,X2),u,X1) ),
    inference(subsumption_resolution,[],[f59,f44]) ).

tff(f59,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f58,f44]) ).

tff(f58,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f57,f44]) ).

tff(f57,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f28,f44]) ).

tff(f28,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X1)
      | ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | do(sK2(X1,X2,X3,X4),X4,X3,sK3(X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f152,plain,
    ! [X0: $i,X1: $i] : '$ki_accessible'(sK0,sK2(sK4(sK0),sK5,X0,X1)),
    inference(subsumption_resolution,[],[f151,f32]) ).

tff(f151,plain,
    ! [X0: $i,X1: $i] :
      ( '$ki_accessible'(sK0,sK2(sK4(sK0),sK5,X0,X1))
      | ~ '$ki_accessible'('$ki_local_world',sK0) ),
    inference(subsumption_resolution,[],[f150,f72]) ).

tff(f150,plain,
    ! [X0: $i,X1: $i] :
      ( ~ entry_box(sK0,sK5)
      | '$ki_accessible'(sK0,sK2(sK4(sK0),sK5,X0,X1))
      | ~ '$ki_accessible'('$ki_local_world',sK0) ),
    inference(subsumption_resolution,[],[f145,f70]) ).

tff(f145,plain,
    ! [X0: $i,X1: $i] :
      ( ~ string(sK0,sK4(sK0))
      | ~ entry_box(sK0,sK5)
      | '$ki_accessible'(sK0,sK2(sK4(sK0),sK5,X0,X1))
      | ~ '$ki_accessible'('$ki_local_world',sK0) ),
    inference(resolution,[],[f139,f101]) ).

tff(f101,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i] :
      ( ~ '$ki_accessible'(X0,sK1(sK4(X0),sK5))
      | '$ki_accessible'(sK0,sK2(sK4(X0),sK5,X1,X2))
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(subsumption_resolution,[],[f100,f33]) ).

tff(f33,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X0,X1)
      | '$ki_accessible'(X0,X2) ),
    inference(cnf_transformation,[],[f19]) ).

tff(f19,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X0,X1) ),
    inference(flattening,[],[f18]) ).

tff(f18,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,axiom,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ( '$ki_accessible'(X1,X2)
        & '$ki_accessible'(X0,X1) )
     => '$ki_accessible'(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).

tff(f100,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i] :
      ( '$ki_accessible'(sK0,sK2(sK4(X0),sK5,X1,X2))
      | ~ '$ki_accessible'('$ki_local_world',sK1(sK4(X0),sK5))
      | ~ '$ki_accessible'(X0,sK1(sK4(X0),sK5))
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(resolution,[],[f97,f35]) ).

tff(f97,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ userid(sK1(X0,sK5),u,X0)
      | '$ki_accessible'(sK0,sK2(X0,sK5,X1,X2))
      | ~ '$ki_accessible'('$ki_local_world',sK1(X0,sK5)) ),
    inference(subsumption_resolution,[],[f96,f38]) ).

tff(f96,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ entry_box(sK1(X0,sK5),sK5)
      | ~ userid(sK1(X0,sK5),u,X0)
      | '$ki_accessible'(sK0,sK2(X0,sK5,X1,X2))
      | ~ '$ki_accessible'('$ki_local_world',sK1(X0,sK5)) ),
    inference(resolution,[],[f52,f39]) ).

tff(f39,plain,
    ! [X1: '$ki_world'] :
      ( number(X1,sK5,one)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f52,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ number(sK1(X1,X2),X2,one)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ userid(sK1(X1,X2),u,X1)
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f51,f44]) ).

tff(f51,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f50,f44]) ).

tff(f50,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f49,f44]) ).

tff(f49,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(subsumption_resolution,[],[f30,f44]) ).

tff(f30,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ '$ki_exists_in_world_$i'(sK0,X1)
      | ~ '$ki_exists_in_world_$i'(sK0,X2)
      | ~ '$ki_exists_in_world_$i'(sK0,X3)
      | ~ '$ki_exists_in_world_$i'(sK0,X4)
      | ~ userid(sK1(X1,X2),u,X1)
      | ~ entry_box(sK1(X1,X2),X2)
      | ~ number(sK1(X1,X2),X2,one)
      | '$ki_accessible'(sK0,sK2(X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f177,plain,
    number(sK1(sK4(sK0),sK5),sK5,one),
    inference(unit_resulting_resolution,[],[f156,f39]) ).

tff(f156,plain,
    '$ki_accessible'('$ki_local_world',sK1(sK4(sK0),sK5)),
    inference(unit_resulting_resolution,[],[f32,f143,f33]) ).

tff(f176,plain,
    entry_box(sK1(sK4(sK0),sK5),sK5),
    inference(unit_resulting_resolution,[],[f156,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 22:35:07 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TF0_THM_NEQ_NAR problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.72  % (31725)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.72  % (31722)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.72  % (31720)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.72  % (31724)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.72  % (31721)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.72  % (31719)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.72  % (31726)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.72  % (31723)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.72  % (31725)First to succeed.
% 0.56/0.72  % (31724)Also succeeded, but the first one will report.
% 0.56/0.72  % (31725)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31718"
% 0.56/0.72  % (31726)Also succeeded, but the first one will report.
% 0.56/0.72  % (31725)Refutation found. Thanks to Tanya!
% 0.56/0.72  % SZS status Theorem for theBenchmark
% 0.56/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.72  % (31725)------------------------------
% 0.56/0.72  % (31725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72  % (31725)Termination reason: Refutation
% 0.56/0.72  
% 0.56/0.72  % (31725)Memory used [KB]: 1113
% 0.56/0.72  % (31725)Time elapsed: 0.007 s
% 0.56/0.72  % (31725)Instructions burned: 20 (million)
% 0.56/0.72  % (31718)Success in time 0.364 s
% 0.56/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------