TSTP Solution File: PUZ060+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PUZ060+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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  : 600s
% DateTime : Mon Jul 18 18:10:45 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :   60 (  15   ~;  11   |;  24   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 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   :   37 (   1 sgn  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( ! [X7] :
            ( food(X7)
           => likes(X2,X7) )
        & food(X5)
        & food(X6)
        & ! [X7] :
            ( ? [X8] :
                ( eats(X8,X7)
                & not_killed_by(X8,X7) )
           => food(X7) )
        & eats(X3,X1)
        & alive(X3)
        & ! [X7] :
            ( eats(X3,X7)
           => eats(X4,X7) )
        & ! [X8] :
            ( alive(X8)
           => ! [X7] : not_killed_by(X8,X7) ) )
     => likes(X2,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6] :
        ( ( ! [X7] :
              ( food(X7)
             => likes(X2,X7) )
          & food(X5)
          & food(X6)
          & ! [X7] :
              ( ? [X8] :
                  ( eats(X8,X7)
                  & not_killed_by(X8,X7) )
             => food(X7) )
          & eats(X3,X1)
          & alive(X3)
          & ! [X7] :
              ( eats(X3,X7)
             => eats(X4,X7) )
          & ! [X8] :
              ( alive(X8)
             => ! [X7] : not_killed_by(X8,X7) ) )
       => likes(X2,X1) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( ~ food(X15)
        | likes(esk2_0,X15) )
      & food(esk4_0)
      & food(esk5_0)
      & ( ~ eats(X17,X16)
        | ~ not_killed_by(X17,X16)
        | food(X16) )
      & eats(esk3_0,esk1_0)
      & alive(esk3_0)
      & ( ~ eats(esk3_0,X18)
        | eats(esk6_0,X18) )
      & ( ~ alive(X19)
        | not_killed_by(X19,X20) )
      & ~ likes(esk2_0,esk1_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( food(X1)
    | ~ not_killed_by(X2,X1)
    | ~ eats(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( not_killed_by(X1,X2)
    | ~ alive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ likes(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( likes(esk2_0,X1)
    | ~ food(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( food(X1)
    | ~ alive(X2)
    | ~ eats(X2,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    eats(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    alive(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ~ food(esk1_0),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ060+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n022.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 01:01:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.013 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 12
% 0.22/1.41  # Proof object clause steps            : 9
% 0.22/1.41  # Proof object formula steps           : 3
% 0.22/1.41  # Proof object conjectures             : 12
% 0.22/1.41  # Proof object clause conjectures      : 9
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 6
% 0.22/1.41  # Proof object initial formulas used   : 1
% 0.22/1.41  # Proof object generating inferences   : 3
% 0.22/1.41  # Proof object simplifying inferences  : 3
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 1
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 9
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 9
% 0.22/1.41  # Processed clauses                    : 12
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 12
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 0
% 0.22/1.41  # Backward-rewritten                   : 0
% 0.22/1.41  # Generated clauses                    : 5
% 0.22/1.41  # ...of the previous two non-trivial   : 4
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 5
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 12
% 0.22/1.41  #    Positive orientable unit clauses  : 5
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 2
% 0.22/1.41  #    Non-unit-clauses                  : 5
% 0.22/1.41  # Current number of unprocessed clauses: 1
% 0.22/1.41  # ...number of literals in the above   : 1
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 0
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 2
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 2
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.22/1.41  # Unit Clause-clause subsumption calls : 1
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 0
% 0.22/1.41  # BW rewrite match successes           : 0
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 682
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.013 s
% 0.22/1.41  # System time              : 0.001 s
% 0.22/1.41  # Total time               : 0.014 s
% 0.22/1.41  # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------