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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Mon Jul 18 09:33:29 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :   44 (  19   ~;  18   |;   4   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   1 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    aSubsetOf0(xA,xA),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSub) ).

fof(m__467,hypothesis,
    aSet0(xA),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__467) ).

fof(c_0_3,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,plain,
    ! [X4,X5,X6,X5] :
      ( ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk1_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk1_2(X4,X5),X4)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) ) ),
    inference(distribute,[status(thm)],[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)],[mDefSub])])])])])])]) ).

fof(c_0_5,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( aSubsetOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( aSubsetOf0(X2,X1)
    | aElementOf0(esk1_2(X1,X2),X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,hypothesis,
    aSet0(xA),
    inference(split_conjunct,[status(thm)],[m__467]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n005.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 08:13:37 EDT 2022
% 0.12/0.33  % 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       : 0.011 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            : 6
% 0.22/1.41  # Proof object formula steps           : 6
% 0.22/1.41  # Proof object conjectures             : 5
% 0.22/1.41  # Proof object clause conjectures      : 2
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 4
% 0.22/1.41  # Proof object initial formulas used   : 3
% 0.22/1.41  # Proof object generating inferences   : 2
% 0.22/1.41  # Proof object simplifying inferences  : 2
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 13
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 2
% 0.22/1.41  # Initial clauses                      : 16
% 0.22/1.41  # Removed in clause preprocessing      : 3
% 0.22/1.41  # Initial clauses in saturation        : 13
% 0.22/1.41  # Processed clauses                    : 14
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 14
% 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                    : 7
% 0.22/1.41  # ...of the previous two non-trivial   : 2
% 0.22/1.41  # Contextual simplify-reflections      : 1
% 0.22/1.41  # Paramodulations                      : 7
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 14
% 0.22/1.41  #    Positive orientable unit clauses  : 2
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 1
% 0.22/1.41  #    Non-unit-clauses                  : 11
% 0.22/1.41  # Current number of unprocessed clauses: 1
% 0.22/1.41  # ...number of literals in the above   : 4
% 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) : 4
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 3
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.22/1.41  # Unit Clause-clause subsumption calls : 0
% 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          : 890
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.010 s
% 0.22/1.41  # System time              : 0.002 s
% 0.22/1.41  # Total time               : 0.012 s
% 0.22/1.41  # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------