TSTP Solution File: PUZ060+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 : Thu Aug 31 13:19:49 EDT 2023

% Result   : Theorem 0.74s 1.16s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :  147 (   0 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  171 (  50   ~;  41   |;  64   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   99 (   2 sgn;  68   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ! [X7] :
            ( alive(X7)
           => ! [X6] : not_killed_by(X7,X6) )
        & ! [X6] :
            ( eats(X2,X6)
           => eats(X3,X6) )
        & alive(X2)
        & eats(X2,X0)
        & ! [X6] :
            ( ? [X7] :
                ( not_killed_by(X7,X6)
                & eats(X7,X6) )
           => food(X6) )
        & food(X5)
        & food(X4)
        & ! [X6] :
            ( food(X6)
           => likes(X1,X6) ) )
     => likes(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( ! [X7] :
              ( alive(X7)
             => ! [X6] : not_killed_by(X7,X6) )
          & ! [X6] :
              ( eats(X2,X6)
             => eats(X3,X6) )
          & alive(X2)
          & eats(X2,X0)
          & ! [X6] :
              ( ? [X7] :
                  ( not_killed_by(X7,X6)
                  & eats(X7,X6) )
             => food(X6) )
          & food(X5)
          & food(X4)
          & ! [X6] :
              ( food(X6)
             => likes(X1,X6) ) )
       => likes(X1,X0) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( ! [X6] :
              ( alive(X6)
             => ! [X7] : not_killed_by(X6,X7) )
          & ! [X8] :
              ( eats(X2,X8)
             => eats(X3,X8) )
          & alive(X2)
          & eats(X2,X0)
          & ! [X9] :
              ( ? [X10] :
                  ( not_killed_by(X10,X9)
                  & eats(X10,X9) )
             => food(X9) )
          & food(X5)
          & food(X4)
          & ! [X11] :
              ( food(X11)
             => likes(X1,X11) ) )
       => likes(X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ likes(X1,X0)
      & ! [X6] :
          ( ! [X7] : not_killed_by(X6,X7)
          | ~ alive(X6) )
      & ! [X8] :
          ( eats(X3,X8)
          | ~ eats(X2,X8) )
      & alive(X2)
      & eats(X2,X0)
      & ! [X9] :
          ( food(X9)
          | ! [X10] :
              ( ~ not_killed_by(X10,X9)
              | ~ eats(X10,X9) ) )
      & food(X5)
      & food(X4)
      & ! [X11] :
          ( likes(X1,X11)
          | ~ food(X11) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ likes(X1,X0)
      & ! [X6] :
          ( ! [X7] : not_killed_by(X6,X7)
          | ~ alive(X6) )
      & ! [X8] :
          ( eats(X3,X8)
          | ~ eats(X2,X8) )
      & alive(X2)
      & eats(X2,X0)
      & ! [X9] :
          ( food(X9)
          | ! [X10] :
              ( ~ not_killed_by(X10,X9)
              | ~ eats(X10,X9) ) )
      & food(X5)
      & food(X4)
      & ! [X11] :
          ( likes(X1,X11)
          | ~ food(X11) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ likes(X1,X0)
        & ! [X6] :
            ( ! [X7] : not_killed_by(X6,X7)
            | ~ alive(X6) )
        & ! [X8] :
            ( eats(X3,X8)
            | ~ eats(X2,X8) )
        & alive(X2)
        & eats(X2,X0)
        & ! [X9] :
            ( food(X9)
            | ! [X10] :
                ( ~ not_killed_by(X10,X9)
                | ~ eats(X10,X9) ) )
        & food(X5)
        & food(X4)
        & ! [X11] :
            ( likes(X1,X11)
            | ~ food(X11) ) )
   => ( ~ likes(sK1,sK0)
      & ! [X6] :
          ( ! [X7] : not_killed_by(X6,X7)
          | ~ alive(X6) )
      & ! [X8] :
          ( eats(sK3,X8)
          | ~ eats(sK2,X8) )
      & alive(sK2)
      & eats(sK2,sK0)
      & ! [X9] :
          ( food(X9)
          | ! [X10] :
              ( ~ not_killed_by(X10,X9)
              | ~ eats(X10,X9) ) )
      & food(sK5)
      & food(sK4)
      & ! [X11] :
          ( likes(sK1,X11)
          | ~ food(X11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ~ likes(sK1,sK0)
    & ! [X6] :
        ( ! [X7] : not_killed_by(X6,X7)
        | ~ alive(X6) )
    & ! [X8] :
        ( eats(sK3,X8)
        | ~ eats(sK2,X8) )
    & alive(sK2)
    & eats(sK2,sK0)
    & ! [X9] :
        ( food(X9)
        | ! [X10] :
            ( ~ not_killed_by(X10,X9)
            | ~ eats(X10,X9) ) )
    & food(sK5)
    & food(sK4)
    & ! [X11] :
        ( likes(sK1,X11)
        | ~ food(X11) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f5,f6]) ).

fof(f8,plain,
    ! [X11] :
      ( likes(sK1,X11)
      | ~ food(X11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f11,plain,
    ! [X10,X9] :
      ( food(X9)
      | ~ not_killed_by(X10,X9)
      | ~ eats(X10,X9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f12,plain,
    eats(sK2,sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    alive(sK2),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,plain,
    ! [X6,X7] :
      ( not_killed_by(X6,X7)
      | ~ alive(X6) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f16,plain,
    ~ likes(sK1,sK0),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_49,negated_conjecture,
    ~ likes(sK1,sK0),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_50,negated_conjecture,
    ( ~ alive(X0)
    | not_killed_by(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_52,negated_conjecture,
    alive(sK2),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_53,negated_conjecture,
    eats(sK2,sK0),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_54,negated_conjecture,
    ( ~ not_killed_by(X0,X1)
    | ~ eats(X0,X1)
    | food(X1) ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_57,negated_conjecture,
    ( ~ food(X0)
    | likes(sK1,X0) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_62,negated_conjecture,
    ( ~ food(X0_13)
    | likes(sK1,X0_13) ),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_65,negated_conjecture,
    ( ~ not_killed_by(X0_15,X0_13)
    | ~ eats(X0_15,X0_13)
    | food(X0_13) ),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_69,negated_conjecture,
    ( ~ alive(X0_15)
    | not_killed_by(X0_15,X0_13) ),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_71,plain,
    ( ~ food(sK0)
    | likes(sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_72,plain,
    ( ~ alive(sK2)
    | not_killed_by(sK2,sK0) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_74,plain,
    ( ~ not_killed_by(sK2,sK0)
    | ~ eats(sK2,sK0)
    | food(sK0) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_75,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_74,c_72,c_71,c_49,c_53,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n007.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 : Sat Aug 26 22:23:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.74/1.16  % SZS status Started for theBenchmark.p
% 0.74/1.16  % SZS status Theorem for theBenchmark.p
% 0.74/1.16  
% 0.74/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.74/1.16  
% 0.74/1.16  ------  iProver source info
% 0.74/1.16  
% 0.74/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.74/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.74/1.16  git: non_committed_changes: false
% 0.74/1.16  git: last_make_outside_of_git: false
% 0.74/1.16  
% 0.74/1.16  ------ Parsing...
% 0.74/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.74/1.16  
% 0.74/1.16  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.74/1.16   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.74/1.16  ------ Proving...
% 0.74/1.16  ------ Problem Properties 
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  clauses                                 9
% 0.74/1.16  conjectures                             9
% 0.74/1.16  EPR                                     9
% 0.74/1.16  Horn                                    9
% 0.74/1.16  unary                                   5
% 0.74/1.16  binary                                  3
% 0.74/1.16  lits                                    14
% 0.74/1.16  lits eq                                 0
% 0.74/1.16  fd_pure                                 0
% 0.74/1.16  fd_pseudo                               0
% 0.74/1.16  fd_cond                                 0
% 0.74/1.16  fd_pseudo_cond                          0
% 0.74/1.16  AC symbols                              0
% 0.74/1.16  
% 0.74/1.16  ------ Schedule EPR Horn non eq is on
% 0.74/1.16  
% 0.74/1.16  ------ no equalities: superposition off 
% 0.74/1.16  
% 0.74/1.16  ------ Option_epr_horn Time Limit: Unbounded
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  ------ 
% 0.74/1.16  Current options:
% 0.74/1.16  ------ 
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  ------ Proving...
% 0.74/1.16  
% 0.74/1.16  
% 0.74/1.16  % SZS status Theorem for theBenchmark.p
% 0.74/1.16  
% 0.74/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.74/1.16  
% 0.74/1.16  
%------------------------------------------------------------------------------