TSTP Solution File: PLA054_4 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PLA054_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 02:53:59 EDT 2024

% Result   : Theorem 0.76s 1.13s
% Output   : CNFRefutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  373 (   0 equ)
%            Maximal formula atoms :   26 (   7 avg)
%            Number of connectives :  404 ( 162   ~; 149   |;  55   &)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   80 (  80 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;   7 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  157 (   6 sgn 102   !;  19   ?;  82   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f3,axiom,
    ! [X0: '$ki_world',X3] : '$ki_exists_in_world_$i'(X0,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).

tff(f5,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X4] :
          ( '$ki_exists_in_world_$i'(X0,X4)
         => ! [X1] :
              ( '$ki_exists_in_world_$i'(X0,X1)
             => ? [X5] :
                  ( ! [X6: '$ki_world'] :
                      ( '$ki_accessible'(X0,X6)
                     => ( ( h(X6,o)
                          & ~ combo(X6,X4,X1)
                          & closed(X6,X4) )
                       => ! [X7: '$ki_world'] :
                            ( '$ki_accessible'(X6,X7)
                           => closed(X7,X4) ) ) )
                  & ! [X6: '$ki_world'] :
                      ( '$ki_accessible'(X0,X6)
                     => ( ( h(X6,X5)
                          & combo(X6,X4,X1)
                          & closed(X6,X4) )
                       => ! [X7: '$ki_world'] :
                            ( '$ki_accessible'(X6,X7)
                           => open(X7,X4) ) ) )
                  & '$ki_exists_in_world_$i'(X0,X5) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(f6,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => closed(X0,d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(f8,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X4] :
          ( '$ki_exists_in_world_$i'(X0,X4)
         => ~ ( closed(X0,X4)
              & open(X0,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

tff(f10,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X1] :
          ( ? [X5] :
              ( ( ! [X6: '$ki_world'] :
                    ( '$ki_accessible'(X0,X6)
                   => ( h(X6,X5)
                      & combo(X6,d,X1) ) )
               => ! [X6: '$ki_world'] :
                    ( '$ki_accessible'(X0,X6)
                   => open(X6,d) ) )
              & '$ki_exists_in_world_$i'(X0,X5) )
          & '$ki_exists_in_world_$i'(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f11,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X1] :
            ( ? [X5] :
                ( ( ! [X6: '$ki_world'] :
                      ( '$ki_accessible'(X0,X6)
                     => ( h(X6,X5)
                        & combo(X6,d,X1) ) )
                 => ! [X6: '$ki_world'] :
                      ( '$ki_accessible'(X0,X6)
                     => open(X6,d) ) )
                & '$ki_exists_in_world_$i'(X0,X5) )
            & '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(negated_conjecture,[],[f10]) ).

tff(f12,plain,
    ! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
    inference(rectify,[],[f3]) ).

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_$i'(X0,X2)
             => ? [X3] :
                  ( ! [X4: '$ki_world'] :
                      ( '$ki_accessible'(X0,X4)
                     => ( ( h(X4,o)
                          & ~ combo(X4,X1,X2)
                          & closed(X4,X1) )
                       => ! [X5: '$ki_world'] :
                            ( '$ki_accessible'(X4,X5)
                           => closed(X5,X1) ) ) )
                  & ! [X6: '$ki_world'] :
                      ( '$ki_accessible'(X0,X6)
                     => ( ( h(X6,X3)
                          & combo(X6,X1,X2)
                          & closed(X6,X1) )
                       => ! [X7: '$ki_world'] :
                            ( '$ki_accessible'(X6,X7)
                           => open(X7,X1) ) ) )
                  & '$ki_exists_in_world_$i'(X0,X3) ) ) ) ),
    inference(rectify,[],[f5]) ).

tff(f15,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ! [X1] :
          ( '$ki_exists_in_world_$i'(X0,X1)
         => ~ ( closed(X0,X1)
              & open(X0,X1) ) ) ),
    inference(rectify,[],[f8]) ).

tff(f17,plain,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X1] :
            ( ? [X2] :
                ( ( ! [X3: '$ki_world'] :
                      ( '$ki_accessible'(X0,X3)
                     => ( h(X3,X2)
                        & combo(X3,d,X1) ) )
                 => ! [X4: '$ki_world'] :
                      ( '$ki_accessible'(X0,X4)
                     => open(X4,d) ) )
                & '$ki_exists_in_world_$i'(X0,X2) )
            & '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(rectify,[],[f11]) ).

tff(f20,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( ! [X4: '$ki_world'] :
                      ( ! [X5: '$ki_world'] :
                          ( closed(X5,X1)
                          | ~ '$ki_accessible'(X4,X5) )
                      | ~ h(X4,o)
                      | combo(X4,X1,X2)
                      | ~ closed(X4,X1)
                      | ~ '$ki_accessible'(X0,X4) )
                  & ! [X6: '$ki_world'] :
                      ( ! [X7: '$ki_world'] :
                          ( open(X7,X1)
                          | ~ '$ki_accessible'(X6,X7) )
                      | ~ h(X6,X3)
                      | ~ combo(X6,X1,X2)
                      | ~ closed(X6,X1)
                      | ~ '$ki_accessible'(X0,X6) )
                  & '$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: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( ! [X4: '$ki_world'] :
                      ( ! [X5: '$ki_world'] :
                          ( closed(X5,X1)
                          | ~ '$ki_accessible'(X4,X5) )
                      | ~ h(X4,o)
                      | combo(X4,X1,X2)
                      | ~ closed(X4,X1)
                      | ~ '$ki_accessible'(X0,X4) )
                  & ! [X6: '$ki_world'] :
                      ( ! [X7: '$ki_world'] :
                          ( open(X7,X1)
                          | ~ '$ki_accessible'(X6,X7) )
                      | ~ h(X6,X3)
                      | ~ combo(X6,X1,X2)
                      | ~ closed(X6,X1)
                      | ~ '$ki_accessible'(X0,X6) )
                  & '$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: '$ki_world'] :
      ( closed(X0,d)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f25,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ~ closed(X0,X1)
          | ~ open(X0,X1)
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f15]) ).

tff(f26,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ~ closed(X0,X1)
          | ~ open(X0,X1)
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(flattening,[],[f25]) ).

tff(f28,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ? [X4: '$ki_world'] :
                    ( ~ open(X4,d)
                    & '$ki_accessible'(X0,X4) )
                & ! [X3: '$ki_world'] :
                    ( ( h(X3,X2)
                      & combo(X3,d,X1) )
                    | ~ '$ki_accessible'(X0,X3) ) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f31,plain,
    ! [X0: '$ki_world',X1,X2] :
      ( ? [X3] :
          ( ! [X4: '$ki_world'] :
              ( ! [X5: '$ki_world'] :
                  ( closed(X5,X1)
                  | ~ '$ki_accessible'(X4,X5) )
              | ~ h(X4,o)
              | combo(X4,X1,X2)
              | ~ closed(X4,X1)
              | ~ '$ki_accessible'(X0,X4) )
          & ! [X6: '$ki_world'] :
              ( ! [X7: '$ki_world'] :
                  ( open(X7,X1)
                  | ~ '$ki_accessible'(X6,X7) )
              | ~ h(X6,X3)
              | ~ combo(X6,X1,X2)
              | ~ closed(X6,X1)
              | ~ '$ki_accessible'(X0,X6) )
          & '$ki_exists_in_world_$i'(X0,X3) )
     => ( ! [X4: '$ki_world'] :
            ( ! [X5: '$ki_world'] :
                ( closed(X5,X1)
                | ~ '$ki_accessible'(X4,X5) )
            | ~ h(X4,o)
            | combo(X4,X1,X2)
            | ~ closed(X4,X1)
            | ~ '$ki_accessible'(X0,X4) )
        & ! [X6: '$ki_world'] :
            ( ! [X7: '$ki_world'] :
                ( open(X7,X1)
                | ~ '$ki_accessible'(X6,X7) )
            | ~ h(X6,sK1(X0,X1,X2))
            | ~ combo(X6,X1,X2)
            | ~ closed(X6,X1)
            | ~ '$ki_accessible'(X0,X6) )
        & '$ki_exists_in_world_$i'(X0,sK1(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f32,plain,
    ! [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ! [X4: '$ki_world'] :
                    ( ! [X5: '$ki_world'] :
                        ( closed(X5,X1)
                        | ~ '$ki_accessible'(X4,X5) )
                    | ~ h(X4,o)
                    | combo(X4,X1,X2)
                    | ~ closed(X4,X1)
                    | ~ '$ki_accessible'(X0,X4) )
                & ! [X6: '$ki_world'] :
                    ( ! [X7: '$ki_world'] :
                        ( open(X7,X1)
                        | ~ '$ki_accessible'(X6,X7) )
                    | ~ h(X6,sK1(X0,X1,X2))
                    | ~ combo(X6,X1,X2)
                    | ~ closed(X6,X1)
                    | ~ '$ki_accessible'(X0,X6) )
                & '$ki_exists_in_world_$i'(X0,sK1(X0,X1,X2)) )
              | ~ '$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,[sK1])],[f21,f31]) ).

tff(f35,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ? [X3: '$ki_world'] :
                    ( ~ open(X3,d)
                    & '$ki_accessible'(X0,X3) )
                & ! [X4: '$ki_world'] :
                    ( ( h(X4,X2)
                      & combo(X4,d,X1) )
                    | ~ '$ki_accessible'(X0,X4) ) )
              | ~ '$ki_exists_in_world_$i'(X0,X2) )
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(rectify,[],[f28]) ).

tff(f36,plain,
    ( ? [X0: '$ki_world'] :
        ( ! [X1] :
            ( ! [X2] :
                ( ( ? [X3: '$ki_world'] :
                      ( ~ open(X3,d)
                      & '$ki_accessible'(X0,X3) )
                  & ! [X4: '$ki_world'] :
                      ( ( h(X4,X2)
                        & combo(X4,d,X1) )
                      | ~ '$ki_accessible'(X0,X4) ) )
                | ~ '$ki_exists_in_world_$i'(X0,X2) )
            | ~ '$ki_exists_in_world_$i'(X0,X1) )
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( ! [X1] :
          ( ! [X2] :
              ( ( ? [X3: '$ki_world'] :
                    ( ~ open(X3,d)
                    & '$ki_accessible'(sK3,X3) )
                & ! [X4: '$ki_world'] :
                    ( ( h(X4,X2)
                      & combo(X4,d,X1) )
                    | ~ '$ki_accessible'(sK3,X4) ) )
              | ~ '$ki_exists_in_world_$i'(sK3,X2) )
          | ~ '$ki_exists_in_world_$i'(sK3,X1) )
      & '$ki_accessible'('$ki_local_world',sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f37,plain,
    ( ? [X3: '$ki_world'] :
        ( ~ open(X3,d)
        & '$ki_accessible'(sK3,X3) )
   => ( ~ open(sK4,d)
      & '$ki_accessible'(sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

tff(f38,plain,
    ( ! [X1] :
        ( ! [X2] :
            ( ( ~ open(sK4,d)
              & '$ki_accessible'(sK3,sK4)
              & ! [X4: '$ki_world'] :
                  ( ( h(X4,X2)
                    & combo(X4,d,X1) )
                  | ~ '$ki_accessible'(sK3,X4) ) )
            | ~ '$ki_exists_in_world_$i'(sK3,X2) )
        | ~ '$ki_exists_in_world_$i'(sK3,X1) )
    & '$ki_accessible'('$ki_local_world',sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f35,f37,f36]) ).

tff(f39,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f41,plain,
    ! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
    inference(cnf_transformation,[],[f12]) ).

tff(f44,plain,
    ! [X2: $i,X0: '$ki_world',X1: $i,X6: '$ki_world',X7: '$ki_world'] :
      ( open(X7,X1)
      | ~ '$ki_accessible'(X6,X7)
      | ~ h(X6,sK1(X0,X1,X2))
      | ~ combo(X6,X1,X2)
      | ~ closed(X6,X1)
      | ~ '$ki_accessible'(X0,X6)
      | ~ '$ki_exists_in_world_$i'(X0,X2)
      | ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f46,plain,
    ! [X0: '$ki_world'] :
      ( closed(X0,d)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f48,plain,
    ! [X0: '$ki_world',X1: $i] :
      ( ~ closed(X0,X1)
      | ~ open(X0,X1)
      | ~ '$ki_exists_in_world_$i'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f51,plain,
    '$ki_accessible'('$ki_local_world',sK3),
    inference(cnf_transformation,[],[f38]) ).

tff(f52,plain,
    ! [X2: $i,X1: $i,X4: '$ki_world'] :
      ( combo(X4,d,X1)
      | ~ '$ki_accessible'(sK3,X4)
      | ~ '$ki_exists_in_world_$i'(sK3,X2)
      | ~ '$ki_exists_in_world_$i'(sK3,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f53,plain,
    ! [X2: $i,X1: $i,X4: '$ki_world'] :
      ( h(X4,X2)
      | ~ '$ki_accessible'(sK3,X4)
      | ~ '$ki_exists_in_world_$i'(sK3,X2)
      | ~ '$ki_exists_in_world_$i'(sK3,X1) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_49,plain,
    '$ki_accessible'(X0_13,X0_13),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_51,plain,
    '$ki_exists_in_world_$i'(X0_13,X0),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_54,plain,
    ( ~ h(X0_13,sK1(X1_13,X0,X1))
    | ~ combo(X0_13,X0,X1)
    | ~ '$ki_accessible'(X0_13,X2_13)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ closed(X0_13,X0)
    | ~ '$ki_exists_in_world_$i'(X1_13,X0)
    | ~ '$ki_exists_in_world_$i'(X1_13,X1)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | open(X2_13,X0) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_56,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | closed(X0_13,d) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_57,plain,
    ( ~ closed(X0_13,X0)
    | ~ open(X0_13,X0)
    | ~ '$ki_exists_in_world_$i'(X0_13,X0)
    | ~ '$ki_accessible'('$ki_local_world',X0_13) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_62,negated_conjecture,
    ( ~ '$ki_accessible'(sK3,X0_13)
    | ~ '$ki_exists_in_world_$i'(sK3,X0)
    | ~ '$ki_exists_in_world_$i'(sK3,X1)
    | h(X0_13,X1) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_63,negated_conjecture,
    ( ~ '$ki_accessible'(sK3,X0_13)
    | ~ '$ki_exists_in_world_$i'(sK3,X0)
    | ~ '$ki_exists_in_world_$i'(sK3,X1)
    | combo(X0_13,d,X0) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_64,negated_conjecture,
    '$ki_accessible'('$ki_local_world',sK3),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_65,plain,
    '$ki_exists_in_world_$i'(sK3,d),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_66,plain,
    '$ki_accessible'(sK3,sK3),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_68,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK3)
    | closed(sK3,d) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_73,plain,
    ( ~ '$ki_accessible'(sK3,sK3)
    | ~ '$ki_exists_in_world_$i'(sK3,d)
    | combo(sK3,d,d) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_74,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK3)
    | ~ closed(sK3,d)
    | ~ open(sK3,d)
    | ~ '$ki_exists_in_world_$i'(sK3,d) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_95,plain,
    ( ~ h(X0_13,sK1(X1_13,X0,X1))
    | ~ combo(X0_13,X0,X1)
    | ~ '$ki_accessible'(X0_13,X2_13)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ closed(X0_13,X0)
    | ~ '$ki_exists_in_world_$i'(X1_13,X1)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | open(X2_13,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_54,c_51]) ).

cnf(c_96,plain,
    ( ~ '$ki_accessible'(sK3,X0_13)
    | ~ '$ki_exists_in_world_$i'(sK3,X0)
    | h(X0_13,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_62,c_51]) ).

cnf(c_120,plain,
    ( ~ '$ki_accessible'(sK3,X0_13)
    | h(X0_13,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_96,c_51]) ).

cnf(c_183,plain,
    ( ~ h(X0_13,sK1(X1_13,X0,X1))
    | ~ combo(X0_13,X0,X1)
    | ~ '$ki_accessible'(X0_13,X2_13)
    | ~ '$ki_accessible'(X1_13,X0_13)
    | ~ closed(X0_13,X0)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | open(X2_13,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_95,c_51]) ).

cnf(c_228,plain,
    ( ~ combo(X0_13,X0,X1)
    | ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'(X2_13,X0_13)
    | ~ closed(X0_13,X0)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ '$ki_accessible'(sK3,X0_13)
    | open(X1_13,X0) ),
    inference(resolution,[status(thm)],[c_183,c_120]) ).

cnf(c_229,plain,
    ( ~ combo(sK3,d,d)
    | ~ '$ki_accessible'('$ki_local_world',sK3)
    | ~ '$ki_accessible'(sK3,sK3)
    | ~ closed(sK3,d)
    | open(sK3,d) ),
    inference(instantiation,[status(thm)],[c_228]) ).

cnf(c_230,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_229,c_74,c_73,c_68,c_66,c_65,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PLA054_4 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:19:19 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.76/1.13  % SZS status Started for theBenchmark.p
% 0.76/1.13  % SZS status Theorem for theBenchmark.p
% 0.76/1.13  
% 0.76/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.76/1.13  
% 0.76/1.13  ------  iProver source info
% 0.76/1.13  
% 0.76/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.76/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.76/1.13  git: non_committed_changes: false
% 0.76/1.13  
% 0.76/1.13  ------ Parsing...
% 0.76/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  ------ Preprocessing... pe_s  pe:1:0s
% 0.76/1.13  
% 0.76/1.13  % SZS status Theorem for theBenchmark.p
% 0.76/1.13  
% 0.76/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.76/1.13  
% 0.76/1.13  
%------------------------------------------------------------------------------