TSTP Solution File: SWV011+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.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 : Wed Jul 20 18:14:46 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn   1   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ? [X1] :
      ( a_holds(key(X1,b))
      & b_holds(key(X1,a)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(ax1,axiom,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax1) ).

fof(ax3,axiom,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax3) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( a_holds(key(X1,b))
        & b_holds(key(X1,a)) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_4,negated_conjecture,
    ! [X2] :
      ( ~ a_holds(key(X2,b))
      | ~ b_holds(key(X2,a)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ b_holds(key(X1,a))
    | ~ a_holds(key(X1,b)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_7,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 07:23:51 EDT 2022
% 0.20/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.014 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 9
% 0.25/1.43  # Proof object clause steps            : 4
% 0.25/1.43  # Proof object formula steps           : 5
% 0.25/1.43  # Proof object conjectures             : 5
% 0.25/1.43  # Proof object clause conjectures      : 2
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 3
% 0.25/1.43  # Proof object initial formulas used   : 3
% 0.25/1.43  # Proof object generating inferences   : 1
% 0.25/1.43  # Proof object simplifying inferences  : 2
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 17
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 9
% 0.25/1.43  # Initial clauses                      : 8
% 0.25/1.43  # Removed in clause preprocessing      : 0
% 0.25/1.43  # Initial clauses in saturation        : 8
% 0.25/1.43  # Processed clauses                    : 5
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 5
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 0
% 0.25/1.43  # Generated clauses                    : 1
% 0.25/1.43  # ...of the previous two non-trivial   : 0
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 1
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 5
% 0.25/1.43  #    Positive orientable unit clauses  : 4
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 0
% 0.25/1.43  #    Non-unit-clauses                  : 1
% 0.25/1.43  # Current number of unprocessed clauses: 3
% 0.25/1.43  # ...number of literals in the above   : 3
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 0
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.43  # Unit Clause-clause subsumption calls : 0
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 0
% 0.25/1.43  # BW rewrite match successes           : 0
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 411
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.012 s
% 0.25/1.43  # System time              : 0.002 s
% 0.25/1.43  # Total time               : 0.014 s
% 0.25/1.43  # Maximum resident set size: 2912 pages
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