TSTP Solution File: SYO898_9 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO898_9 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 03:39:07 EDT 2024

% Result   : Theorem 0.59s 0.98s
% Output   : CNFRefutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   43 (  17   ~;   8   |;   6   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   17 (  17 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   25 (   2 sgn  14   !;   6   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ! [X0: '$ki_world'] :
    ? [X1: '$ki_world'] : '$ki_accessible'(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_serial) ).

tff(f2,conjecture,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => p(X0) )
   => ? [X0: '$ki_world'] :
        ( ( q(X0)
         => p(X0) )
        & '$ki_accessible'('$ki_local_world',X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f3,negated_conjecture,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => p(X0) )
     => ? [X0: '$ki_world'] :
          ( ( q(X0)
           => p(X0) )
          & '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f4,plain,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => p(X0) )
     => ? [X1: '$ki_world'] :
          ( ( q(X1)
           => p(X1) )
          & '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(rectify,[],[f3]) ).

tff(f5,plain,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => p(X0) )
     => ? [X1: '$ki_world'] :
          ( p(X1)
          & '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(pure_predicate_removal,[],[f4]) ).

tff(f6,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    & ! [X0: '$ki_world'] :
        ( p(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f7,plain,
    ! [X0: '$ki_world'] :
      ( ? [X1: '$ki_world'] : '$ki_accessible'(X0,X1)
     => '$ki_accessible'(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

tff(f8,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,sK0(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f7]) ).

tff(f9,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ p(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    & ! [X1: '$ki_world'] :
        ( p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(rectify,[],[f6]) ).

tff(f10,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,sK0(X0)),
    inference(cnf_transformation,[],[f8]) ).

tff(f11,plain,
    ! [X1: '$ki_world'] :
      ( p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f12,plain,
    ! [X0: '$ki_world'] :
      ( ~ p(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_49,plain,
    '$ki_accessible'(X0_13,sK0(X0_13)),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_50,negated_conjecture,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ p(X0_13) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_51,negated_conjecture,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | p(X0_13) ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_55,negated_conjecture,
    ~ '$ki_accessible'('$ki_local_world',X0_13),
    inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_50]) ).

cnf(c_58,negated_conjecture,
    ~ '$ki_accessible'('$ki_local_world',X0_13),
    inference(global_subsumption_just,[status(thm)],[c_50,c_55]) ).

cnf(c_64,plain,
    $false,
    inference(resolution,[status(thm)],[c_49,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYO898_9 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.07  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n005.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May  2 20:04:26 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.10/0.33  Running first-order theorem proving
% 0.10/0.33  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
% 0.59/0.98  % SZS status Started for theBenchmark.p
% 0.59/0.98  % SZS status Theorem for theBenchmark.p
% 0.59/0.98  
% 0.59/0.98  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.59/0.98  
% 0.59/0.98  ------  iProver source info
% 0.59/0.98  
% 0.59/0.98  git: date: 2024-05-02 19:28:25 +0000
% 0.59/0.98  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.59/0.98  git: non_committed_changes: false
% 0.59/0.98  
% 0.59/0.98  ------ Parsing...
% 0.59/0.98  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  ------ Preprocessing... pe_s 
% 0.59/0.98  
% 0.59/0.98  % SZS status Theorem for theBenchmark.p
% 0.59/0.98  
% 0.59/0.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.59/0.98  
% 0.59/0.98  
%------------------------------------------------------------------------------