TSTP Solution File: SWW302+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW302+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 : Thu Jul 21 00:10:31 EDT 2022

% Result   : Theorem 1.01s 2.20s
% Output   : CNFRefutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   22 (   8   ~;   5   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (   0 sgn  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    ! [X282,X283] :
      ( v_P(X282,X283)
     => ! [X284] :
          ( ! [X285] :
              ( v_P(X285,X283)
             => v_Q_H(X285,X284) )
         => v_Q(X282,X284) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).

fof(conj_0,hypothesis,
    ! [X282,X283] :
      ( v_Q_H(X282,X283)
     => v_Q(X282,X283) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X282,X283] :
        ( v_P(X282,X283)
       => ! [X284] :
            ( ! [X285] :
                ( v_P(X285,X283)
               => v_Q_H(X285,X284) )
           => v_Q(X282,X284) ) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_3,hypothesis,
    ! [X284,X285] :
      ( ~ v_Q_H(X284,X285)
      | v_Q(X284,X285) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).

fof(c_0_4,negated_conjecture,
    ! [X289] :
      ( v_P(esk1_0,esk2_0)
      & ( ~ v_P(X289,esk2_0)
        | v_Q_H(X289,esk3_0) )
      & ~ v_Q(esk1_0,esk3_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_2])])])])])]) ).

cnf(c_0_5,hypothesis,
    ( v_Q(X1,X2)
    | ~ v_Q_H(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( v_Q_H(X1,esk3_0)
    | ~ v_P(X1,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ v_Q(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | ~ v_P(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    v_P(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW302+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Sat Jun  4 13:04:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.01/2.20  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.01/2.20  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.01/2.20  # Preprocessing time       : 0.144 s
% 1.01/2.20  
% 1.01/2.20  # Proof found!
% 1.01/2.20  # SZS status Theorem
% 1.01/2.20  # SZS output start CNFRefutation
% See solution above
% 1.01/2.20  # Proof object total steps             : 11
% 1.01/2.20  # Proof object clause steps            : 6
% 1.01/2.20  # Proof object formula steps           : 5
% 1.01/2.20  # Proof object conjectures             : 8
% 1.01/2.20  # Proof object clause conjectures      : 5
% 1.01/2.20  # Proof object formula conjectures     : 3
% 1.01/2.20  # Proof object initial clauses used    : 4
% 1.01/2.20  # Proof object initial formulas used   : 2
% 1.01/2.20  # Proof object generating inferences   : 2
% 1.01/2.20  # Proof object simplifying inferences  : 2
% 1.01/2.20  # Training examples: 0 positive, 0 negative
% 1.01/2.20  # Parsed axioms                        : 5242
% 1.01/2.20  # Removed by relevancy pruning/SinE    : 5240
% 1.01/2.20  # Initial clauses                      : 4
% 1.01/2.20  # Removed in clause preprocessing      : 0
% 1.01/2.20  # Initial clauses in saturation        : 4
% 1.01/2.20  # Processed clauses                    : 5
% 1.01/2.20  # ...of these trivial                  : 0
% 1.01/2.20  # ...subsumed                          : 0
% 1.01/2.20  # ...remaining for further processing  : 5
% 1.01/2.20  # Other redundant clauses eliminated   : 0
% 1.01/2.20  # Clauses deleted for lack of memory   : 0
% 1.01/2.20  # Backward-subsumed                    : 0
% 1.01/2.20  # Backward-rewritten                   : 0
% 1.01/2.20  # Generated clauses                    : 2
% 1.01/2.20  # ...of the previous two non-trivial   : 1
% 1.01/2.20  # Contextual simplify-reflections      : 0
% 1.01/2.20  # Paramodulations                      : 2
% 1.01/2.20  # Factorizations                       : 0
% 1.01/2.20  # Equation resolutions                 : 0
% 1.01/2.20  # Current number of processed clauses  : 5
% 1.01/2.20  #    Positive orientable unit clauses  : 1
% 1.01/2.20  #    Positive unorientable unit clauses: 0
% 1.01/2.20  #    Negative unit clauses             : 1
% 1.01/2.20  #    Non-unit-clauses                  : 3
% 1.01/2.20  # Current number of unprocessed clauses: 0
% 1.01/2.20  # ...number of literals in the above   : 0
% 1.01/2.20  # Current number of archived formulas  : 0
% 1.01/2.20  # Current number of archived clauses   : 0
% 1.01/2.20  # Clause-clause subsumption calls (NU) : 0
% 1.01/2.20  # Rec. Clause-clause subsumption calls : 0
% 1.01/2.20  # Non-unit clause-clause subsumptions  : 0
% 1.01/2.20  # Unit Clause-clause subsumption calls : 0
% 1.01/2.20  # Rewrite failures with RHS unbound    : 0
% 1.01/2.20  # BW rewrite match attempts            : 0
% 1.01/2.20  # BW rewrite match successes           : 0
% 1.01/2.20  # Condensation attempts                : 0
% 1.01/2.20  # Condensation successes               : 0
% 1.01/2.20  # Termbank termtop insertions          : 130364
% 1.01/2.20  
% 1.01/2.20  # -------------------------------------------------
% 1.01/2.20  # User time                : 0.133 s
% 1.01/2.20  # System time              : 0.011 s
% 1.01/2.20  # Total time               : 0.144 s
% 1.01/2.20  # Maximum resident set size: 12760 pages
%------------------------------------------------------------------------------