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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   35 (   9   ~;   6   |;  12   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( ! [X1] :
          ( aElementOf0(X1,xA)
         => aElementOf0(X1,xB) )
      & aSubsetOf0(xA,xB)
      & ! [X1] :
          ( aElementOf0(X1,xB)
         => aElementOf0(X1,xC) )
      & aSubsetOf0(xB,xC) )
   => ( ! [X1] :
          ( aElementOf0(X1,xA)
         => aElementOf0(X1,xC) )
      | aSubsetOf0(xA,xC) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ! [X1] :
            ( aElementOf0(X1,xA)
           => aElementOf0(X1,xB) )
        & aSubsetOf0(xA,xB)
        & ! [X1] :
            ( aElementOf0(X1,xB)
           => aElementOf0(X1,xC) )
        & aSubsetOf0(xB,xC) )
     => ( ! [X1] :
            ( aElementOf0(X1,xA)
           => aElementOf0(X1,xC) )
        | aSubsetOf0(xA,xC) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_2,negated_conjecture,
    ! [X2,X3] :
      ( ( ~ aElementOf0(X2,xA)
        | aElementOf0(X2,xB) )
      & aSubsetOf0(xA,xB)
      & ( ~ aElementOf0(X3,xB)
        | aElementOf0(X3,xC) )
      & aSubsetOf0(xB,xC)
      & aElementOf0(esk1_0,xA)
      & ~ aElementOf0(esk1_0,xC)
      & ~ aSubsetOf0(xA,xC) ),
    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,
    ~ aElementOf0(esk1_0,xC),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( aElementOf0(X1,xC)
    | ~ aElementOf0(X1,xB) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( aElementOf0(X1,xB)
    | ~ aElementOf0(X1,xA) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    aElementOf0(esk1_0,xA),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ~ aElementOf0(esk1_0,xB),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jul  6 03:18:18 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41  # Preprocessing time       : 0.015 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 9
% 0.24/1.41  # Proof object clause steps            : 6
% 0.24/1.41  # Proof object formula steps           : 3
% 0.24/1.41  # Proof object conjectures             : 9
% 0.24/1.41  # Proof object clause conjectures      : 6
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 4
% 0.24/1.41  # Proof object initial formulas used   : 1
% 0.24/1.41  # Proof object generating inferences   : 2
% 0.24/1.41  # Proof object simplifying inferences  : 1
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 15
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 2
% 0.24/1.41  # Initial clauses                      : 26
% 0.24/1.41  # Removed in clause preprocessing      : 3
% 0.24/1.41  # Initial clauses in saturation        : 23
% 0.24/1.41  # Processed clauses                    : 27
% 0.24/1.41  # ...of these trivial                  : 0
% 0.24/1.41  # ...subsumed                          : 1
% 0.24/1.41  # ...remaining for further processing  : 25
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 0
% 0.24/1.41  # Backward-rewritten                   : 0
% 0.24/1.41  # Generated clauses                    : 21
% 0.24/1.41  # ...of the previous two non-trivial   : 15
% 0.24/1.41  # Contextual simplify-reflections      : 2
% 0.24/1.41  # Paramodulations                      : 21
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 25
% 0.24/1.41  #    Positive orientable unit clauses  : 7
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 4
% 0.24/1.41  #    Non-unit-clauses                  : 14
% 0.24/1.41  # Current number of unprocessed clauses: 11
% 0.24/1.41  # ...number of literals in the above   : 26
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 0
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 21
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 12
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 3
% 0.24/1.41  # Unit Clause-clause subsumption calls : 9
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 0
% 0.24/1.41  # BW rewrite match successes           : 0
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 1524
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.015 s
% 0.24/1.41  # System time              : 0.001 s
% 0.24/1.41  # Total time               : 0.016 s
% 0.24/1.41  # Maximum resident set size: 2784 pages
%------------------------------------------------------------------------------