TSTP Solution File: NLP266_4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 : Fri May  3 02:45:39 EDT 2024

% Result   : Theorem 2.01s 1.14s
% Output   : CNFRefutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  111 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  773 (   0 equ)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives :  808 ( 340   ~; 331   |;  92   &)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  194 ( 194 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  19 usr;   7 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  383 (  18 sgn 153   !;  45   ?; 106   :)

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

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(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(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(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(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(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(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(f10,plain,
    ! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
    inference(rectify,[],[f3]) ).

tff(f12,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(f13,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(f14,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(f15,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(f16,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(f17,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X0,X1) ),
    inference(flattening,[],[f16]) ).

tff(f18,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,[],[f12]) ).

tff(f19,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,[],[f13]) ).

tff(f20,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,[],[f14]) ).

tff(f21,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,[],[f20]) ).

tff(f22,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,[],[f15]) ).

tff(f23,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,[],[f22]) ).

tff(f26,plain,
    ! [X0: '$ki_world'] :
      ( ? [X1] :
          ( ! [X2: '$ki_world'] :
              ( ( string(X2,X1)
                & userid(X2,u,X1) )
              | ~ '$ki_accessible'(X0,X2) )
          & '$ki_exists_in_world_$i'(X0,X1) )
     => ( ! [X2: '$ki_world'] :
            ( ( string(X2,sK1(X0))
              & userid(X2,u,sK1(X0)) )
            | ~ '$ki_accessible'(X0,X2) )
        & '$ki_exists_in_world_$i'(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f27,plain,
    ! [X0: '$ki_world'] :
      ( ( ! [X2: '$ki_world'] :
            ( ( string(X2,sK1(X0))
              & userid(X2,u,sK1(X0)) )
            | ~ '$ki_accessible'(X0,X2) )
        & '$ki_exists_in_world_$i'(X0,sK1(X0)) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f26]) ).

tff(f28,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) )
   => ( ! [X1: '$ki_world'] :
          ( ( number(X1,sK2,one)
            & entry_box(X1,sK2) )
          | ~ '$ki_accessible'('$ki_local_world',X1) )
      & '$ki_exists_in_world_$i'('$ki_local_world',sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f29,plain,
    ( ! [X1: '$ki_world'] :
        ( ( number(X1,sK2,one)
          & entry_box(X1,sK2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    & '$ki_exists_in_world_$i'('$ki_local_world',sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f28]) ).

tff(f30,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_$i'(X0,X4) )
     => ( ! [X5: '$ki_world'] :
            ( ! [X6] :
                ( in(X5,X2,X3,X6)
                | ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
                | ~ '$ki_exists_in_world_$i'(X5,X6) )
            | ~ '$ki_accessible'(X0,X5) )
        & '$ki_exists_in_world_$i'(X0,sK3(X0,X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

tff(f31,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ! [X5: '$ki_world'] :
                        ( ! [X6] :
                            ( in(X5,X2,X3,X6)
                            | ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
                            | ~ '$ki_exists_in_world_$i'(X5,X6) )
                        | ~ '$ki_accessible'(X0,X5) )
                    & '$ki_exists_in_world_$i'(X0,sK3(X0,X1,X2,X3)) )
                  | ~ entry_box(X0,X3)
                  | ~ string(X0,X2)
                  | ~ '$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(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f30]) ).

tff(f32,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'('$ki_local_world',X0) )
   => ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ? [X5: '$ki_world'] :
                          ( ? [X6] :
                              ( ~ in(X5,X1,X2,X6)
                              & do(X5,X4,X3,X6)
                              & '$ki_exists_in_world_$i'(X5,X6) )
                          & '$ki_accessible'(sK4,X5) )
                      | ? [X7: '$ki_world'] :
                          ( ( ~ number(X7,X2,one)
                            | ~ entry_box(X7,X2)
                            | ~ userid(X7,u,X1) )
                          & '$ki_accessible'(sK4,X7) )
                      | ~ '$ki_exists_in_world_$i'(sK4,X4) )
                  | ~ '$ki_exists_in_world_$i'(sK4,X3) )
              | ~ '$ki_exists_in_world_$i'(sK4,X2) )
          | ~ '$ki_exists_in_world_$i'(sK4,X1) )
      & '$ki_accessible'('$ki_local_world',sK4) ) ),
    introduced(choice_axiom,[]) ).

tff(f33,plain,
    ! [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'(sK4,X5) )
     => ( ? [X6] :
            ( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
            & do(sK5(X1,X2,X3,X4),X4,X3,X6)
            & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),X6) )
        & '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) ) ),
    introduced(choice_axiom,[]) ).

tff(f34,plain,
    ! [X1,X2,X3,X4] :
      ( ? [X6] :
          ( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
          & do(sK5(X1,X2,X3,X4),X4,X3,X6)
          & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),X6) )
     => ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
        & do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
        & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4)) ) ),
    introduced(choice_axiom,[]) ).

tff(f35,plain,
    ! [X1,X2] :
      ( ? [X7: '$ki_world'] :
          ( ( ~ number(X7,X2,one)
            | ~ entry_box(X7,X2)
            | ~ userid(X7,u,X1) )
          & '$ki_accessible'(sK4,X7) )
     => ( ( ~ number(sK7(X1,X2),X2,one)
          | ~ entry_box(sK7(X1,X2),X2)
          | ~ userid(sK7(X1,X2),u,X1) )
        & '$ki_accessible'(sK4,sK7(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f36,plain,
    ( ! [X1] :
        ( ! [X2] :
            ( ! [X3] :
                ( ! [X4] :
                    ( ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
                      & do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
                      & '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4))
                      & '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) )
                    | ( ( ~ number(sK7(X1,X2),X2,one)
                        | ~ entry_box(sK7(X1,X2),X2)
                        | ~ userid(sK7(X1,X2),u,X1) )
                      & '$ki_accessible'(sK4,sK7(X1,X2)) )
                    | ~ '$ki_exists_in_world_$i'(sK4,X4) )
                | ~ '$ki_exists_in_world_$i'(sK4,X3) )
            | ~ '$ki_exists_in_world_$i'(sK4,X2) )
        | ~ '$ki_exists_in_world_$i'(sK4,X1) )
    & '$ki_accessible'('$ki_local_world',sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f23,f35,f34,f33,f32]) ).

tff(f37,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f38,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f39,plain,
    ! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
    inference(cnf_transformation,[],[f10]) ).

tff(f42,plain,
    ! [X2: '$ki_world',X0: '$ki_world'] :
      ( userid(X2,u,sK1(X0))
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f27]) ).

tff(f43,plain,
    ! [X2: '$ki_world',X0: '$ki_world'] :
      ( string(X2,sK1(X0))
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f27]) ).

tff(f45,plain,
    ! [X1: '$ki_world'] :
      ( entry_box(X1,sK2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f46,plain,
    ! [X1: '$ki_world'] :
      ( number(X1,sK2,one)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f48,plain,
    ! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
      ( in(X5,X2,X3,X6)
      | ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
      | ~ '$ki_exists_in_world_$i'(X5,X6)
      | ~ '$ki_accessible'(X0,X5)
      | ~ entry_box(X0,X3)
      | ~ string(X0,X2)
      | ~ '$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(cnf_transformation,[],[f31]) ).

tff(f49,plain,
    '$ki_accessible'('$ki_local_world',sK4),
    inference(cnf_transformation,[],[f36]) ).

tff(f50,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f51,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f54,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f55,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f56,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | '$ki_accessible'(sK4,sK7(X1,X2))
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f57,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
      | ~ number(sK7(X1,X2),X2,one)
      | ~ entry_box(sK7(X1,X2),X2)
      | ~ userid(sK7(X1,X2),u,X1)
      | ~ '$ki_exists_in_world_$i'(sK4,X4)
      | ~ '$ki_exists_in_world_$i'(sK4,X3)
      | ~ '$ki_exists_in_world_$i'(sK4,X2)
      | ~ '$ki_exists_in_world_$i'(sK4,X1) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_49,plain,
    '$ki_accessible'(X0_13,X0_13),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_50,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'(X1_13,X2_13)
    | '$ki_accessible'(X0_13,X2_13) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_51,plain,
    '$ki_exists_in_world_$i'(X0_13,X0),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_53,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | string(X1_13,sK1(X0_13)) ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_54,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | userid(X1_13,u,sK1(X0_13)) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_56,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | number(X0_13,sK2,one) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_57,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | entry_box(X0_13,sK2) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_59,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ string(X1_13,X1)
    | ~ entry_box(X1_13,X2)
    | ~ '$ki_exists_in_world_$i'(X0_13,X3)
    | ~ '$ki_exists_in_world_$i'(X1_13,X0)
    | ~ '$ki_exists_in_world_$i'(X1_13,X1)
    | ~ '$ki_exists_in_world_$i'(X1_13,X2)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | in(X0_13,X1,X2,X3) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_61,negated_conjecture,
    ( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
    | ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_62,negated_conjecture,
    ( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
    | ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_63,negated_conjecture,
    ( ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_64,negated_conjecture,
    ( ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3))
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_67,negated_conjecture,
    ( ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | '$ki_accessible'(sK4,sK5(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_68,negated_conjecture,
    ( ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | '$ki_accessible'(sK4,sK5(X0,X1,X2,X3))
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_69,negated_conjecture,
    '$ki_accessible'('$ki_local_world',sK4),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_71,plain,
    '$ki_accessible'(sK4,sK4),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_94,plain,
    ( ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | '$ki_accessible'(sK4,sK5(X3,X0,X1,X2))
    | '$ki_accessible'(sK4,sK7(X3,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_68,c_51]) ).

cnf(c_95,plain,
    ( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_62,c_51]) ).

cnf(c_96,plain,
    ( ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | '$ki_accessible'(sK4,sK5(X0,X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_67,c_51]) ).

cnf(c_97,plain,
    ( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
    | ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_61,c_51]) ).

cnf(c_98,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ string(X1_13,X1)
    | ~ entry_box(X1_13,X2)
    | ~ '$ki_exists_in_world_$i'(X1_13,X0)
    | ~ '$ki_exists_in_world_$i'(X1_13,X1)
    | ~ '$ki_exists_in_world_$i'(X1_13,X2)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | in(X0_13,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_59,c_51]) ).

cnf(c_99,plain,
    ( ~ '$ki_exists_in_world_$i'(sK4,X0)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | do(sK5(X3,X0,X1,X2),X2,X1,sK6(X3,X0,X1,X2))
    | '$ki_accessible'(sK4,sK7(X3,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_64,c_51]) ).

cnf(c_100,plain,
    ( ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X1)
    | ~ '$ki_exists_in_world_$i'(sK4,X2)
    | ~ '$ki_exists_in_world_$i'(sK4,X3)
    | do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_63,c_51]) ).

cnf(c_134,plain,
    ( '$ki_accessible'(sK4,sK5(X0,X1,X2,X3))
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_94,c_51,c_51,c_51]) ).

cnf(c_147,plain,
    ( do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3))
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_99,c_51,c_51,c_51]) ).

cnf(c_160,plain,
    ( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
    | '$ki_accessible'(sK4,sK7(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_95,c_51,c_51,c_51]) ).

cnf(c_175,plain,
    ( ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | '$ki_accessible'(sK4,sK5(X0,X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_96,c_51,c_51,c_51]) ).

cnf(c_196,plain,
    ( ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1)
    | do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_100,c_51,c_51,c_51]) ).

cnf(c_217,plain,
    ( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
    | ~ number(sK7(X0,X1),X1,one)
    | ~ userid(sK7(X0,X1),u,X0)
    | ~ entry_box(sK7(X0,X1),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_97,c_51,c_51,c_51]) ).

cnf(c_240,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ string(X1_13,X1)
    | ~ entry_box(X1_13,X2)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | in(X0_13,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_98,c_51,c_51,c_51]) ).

cnf(c_260,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),X1),X2)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ '$ki_accessible'(X2_13,X1_13)
    | ~ entry_box(X1_13,X1)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | in(X0_13,sK1(X2_13),X1,X2) ),
    inference(resolution,[status(thm)],[c_53,c_240]) ).

cnf(c_276,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),X1),X2)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ '$ki_accessible'(X2_13,X1_13)
    | ~ entry_box(X1_13,X1)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | in(X0_13,sK1(X2_13),X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260,c_50]) ).

cnf(c_289,plain,
    ( ~ in(sK5(X0,sK2,X1,X2),X0,sK2,sK6(X0,sK2,X1,X2))
    | ~ userid(sK7(X0,sK2),u,X0)
    | ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
    | ~ entry_box(sK7(X0,sK2),sK2) ),
    inference(resolution,[status(thm)],[c_56,c_217]) ).

cnf(c_299,plain,
    ( ~ in(sK5(X0,sK2,X1,X2),X0,sK2,sK6(X0,sK2,X1,X2))
    | ~ userid(sK7(X0,sK2),u,X0)
    | ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_289,c_57]) ).

cnf(c_304,plain,
    ( ~ userid(sK7(X0,sK2),u,X0)
    | ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
    | ~ entry_box(sK7(X0,sK2),sK2)
    | do(sK5(X0,sK2,X1,X2),X2,X1,sK6(X0,sK2,X1,X2)) ),
    inference(resolution,[status(thm)],[c_56,c_196]) ).

cnf(c_314,plain,
    ( ~ userid(sK7(X0,sK2),u,X0)
    | ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
    | do(sK5(X0,sK2,X1,X2),X2,X1,sK6(X0,sK2,X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_304,c_57]) ).

cnf(c_319,plain,
    ( ~ userid(sK7(X0,sK2),u,X0)
    | ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
    | ~ entry_box(sK7(X0,sK2),sK2)
    | '$ki_accessible'(sK4,sK5(X0,sK2,X1,X2)) ),
    inference(resolution,[status(thm)],[c_56,c_175]) ).

cnf(c_329,plain,
    ( ~ userid(sK7(X0,sK2),u,X0)
    | ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
    | '$ki_accessible'(sK4,sK5(X0,sK2,X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_319,c_57]) ).

cnf(c_343,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),sK2),X1)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ '$ki_accessible'(X2_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | in(X0_13,sK1(X2_13),sK2,X1) ),
    inference(resolution,[status(thm)],[c_57,c_276]) ).

cnf(c_357,plain,
    ( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),sK2),X1)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ '$ki_accessible'(X2_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | in(X0_13,sK1(X2_13),sK2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_343,c_50]) ).

cnf(c_464,plain,
    ( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | '$ki_accessible'(sK4,sK5(sK1(X0_13),sK2,X0,X1)) ),
    inference(resolution,[status(thm)],[c_54,c_329]) ).

cnf(c_474,plain,
    ( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | '$ki_accessible'(sK4,sK5(sK1(X0_13),sK2,X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_464,c_50]) ).

cnf(c_479,plain,
    ( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1)) ),
    inference(resolution,[status(thm)],[c_54,c_314]) ).

cnf(c_489,plain,
    ( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_479,c_50]) ).

cnf(c_494,plain,
    ( ~ in(sK5(sK1(X0_13),sK2,X0,X1),sK1(X0_13),sK2,sK6(sK1(X0_13),sK2,X0,X1))
    | ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13) ),
    inference(resolution,[status(thm)],[c_54,c_299]) ).

cnf(c_504,plain,
    ( ~ in(sK5(sK1(X0_13),sK2,X0,X1),sK1(X0_13),sK2,sK6(sK1(X0_13),sK2,X0,X1))
    | ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_494,c_50]) ).

cnf(c_577,plain,
    ( ~ '$ki_accessible'(X0_13,sK5(sK1(X1_13),sK2,sK3(X0_13,X0,sK1(X2_13),sK2),X0))
    | ~ '$ki_accessible'(X1_13,sK7(sK1(X1_13),sK2))
    | ~ '$ki_accessible'(X2_13,X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | in(sK5(sK1(X1_13),sK2,sK3(X0_13,X0,sK1(X2_13),sK2),X0),sK1(X2_13),sK2,sK6(sK1(X1_13),sK2,sK3(X0_13,X0,sK1(X2_13),sK2),X0)) ),
    inference(resolution,[status(thm)],[c_357,c_489]) ).

cnf(c_578,plain,
    ( ~ '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK4)
    | ~ '$ki_accessible'(sK4,sK4)
    | in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one)) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_750,plain,
    ( '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,X0,X1))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_768,plain,
    ( ~ do(sK5(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0),X0,sK3(X1_13,X0,sK1(X2_13),sK2),sK6(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0))
    | ~ '$ki_accessible'(X1_13,sK5(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0))
    | ~ '$ki_accessible'(X2_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | in(sK5(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0),sK1(X2_13),sK2,sK6(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0)) ),
    inference(instantiation,[status(thm)],[c_357]) ).

cnf(c_770,plain,
    ( ~ do(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),one,sK3(sK4,one,sK1(sK4),sK2),sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | ~ '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | ~ '$ki_accessible'('$ki_local_world',sK4)
    | ~ '$ki_accessible'(sK4,sK4)
    | in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one)) ),
    inference(instantiation,[status(thm)],[c_768]) ).

cnf(c_774,plain,
    ( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | '$ki_accessible'(sK4,sK5(sK1(X0_13),sK2,sK3(sK4,X0,sK1(X1_13),sK2),X0)) ),
    inference(instantiation,[status(thm)],[c_474]) ).

cnf(c_775,plain,
    ( ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK4)
    | '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one)) ),
    inference(instantiation,[status(thm)],[c_774]) ).

cnf(c_789,plain,
    ( ~ in(sK5(sK1(X0_13),sK2,X0,X1),sK1(X0_13),sK2,sK6(sK1(X0_13),sK2,X0,X1))
    | '$ki_accessible'(sK4,sK7(sK1(X0_13),sK2)) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_790,plain,
    ( do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1))
    | '$ki_accessible'(sK4,sK7(sK1(X0_13),sK2)) ),
    inference(instantiation,[status(thm)],[c_147]) ).

cnf(c_800,plain,
    ( '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_13),sK2),X0))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_750]) ).

cnf(c_802,plain,
    ( '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_800]) ).

cnf(c_814,plain,
    ( do(sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_13),sK2),X0),X0,sK3(sK4,X0,sK1(X0_13),sK2),sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_13),sK2),X0))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_790]) ).

cnf(c_816,plain,
    ( do(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),one,sK3(sK4,one,sK1(sK4),sK2),sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_814]) ).

cnf(c_841,plain,
    ( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_789]) ).

cnf(c_842,plain,
    ( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0))
    | ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK4) ),
    inference(instantiation,[status(thm)],[c_504]) ).

cnf(c_843,plain,
    ( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK4) ),
    inference(instantiation,[status(thm)],[c_842]) ).

cnf(c_844,plain,
    ( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
    | '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
    inference(instantiation,[status(thm)],[c_841]) ).

cnf(c_858,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_844,c_843,c_816,c_802,c_775,c_770,c_578,c_71,c_69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 18:08:21 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.01/1.14  % SZS status Started for theBenchmark.p
% 2.01/1.14  % SZS status Theorem for theBenchmark.p
% 2.01/1.14  
% 2.01/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.01/1.14  
% 2.01/1.14  ------  iProver source info
% 2.01/1.14  
% 2.01/1.14  git: date: 2024-05-02 19:28:25 +0000
% 2.01/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.01/1.14  git: non_committed_changes: false
% 2.01/1.14  
% 2.01/1.14  ------ Parsing...
% 2.01/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  ------ Preprocessing... pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  pe_s  pe_e 
% 2.01/1.14  
% 2.01/1.14  ------ Preprocessing...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.01/1.14   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.01/1.14  ------ Proving...
% 2.01/1.14  ------ Problem Properties 
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  clauses                                 10
% 2.01/1.14  conjectures                             1
% 2.01/1.14  EPR                                     3
% 2.01/1.14  Horn                                    8
% 2.01/1.14  unary                                   2
% 2.01/1.14  binary                                  3
% 2.01/1.14  lits                                    25
% 2.01/1.14  lits eq                                 0
% 2.01/1.14  fd_pure                                 0
% 2.01/1.14  fd_pseudo                               0
% 2.01/1.14  fd_cond                                 0
% 2.01/1.14  fd_pseudo_cond                          0
% 2.01/1.14  AC symbols                              0
% 2.01/1.14  
% 2.01/1.14  ------ Schedule dynamic 5 is on 
% 2.01/1.14  
% 2.01/1.14  ------ no equalities: superposition off 
% 2.01/1.14  
% 2.01/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  ------ 
% 2.01/1.14  Current options:
% 2.01/1.14  ------ 
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  ------ Proving...
% 2.01/1.14  
% 2.01/1.14  
% 2.01/1.14  % SZS status Theorem for theBenchmark.p
% 2.01/1.14  
% 2.01/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.01/1.14  
% 2.01/1.14  
%------------------------------------------------------------------------------