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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM590+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 09:34:09 EDT 2022

% Result   : Theorem 0.27s 5.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   62 (   7 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :   68 (  21   ~;  18   |;  23   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   15 (   1 sgn  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__3671,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aSet0(sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
           => aElementOf0(X2,szNzAzT0) )
        & aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3671) ).

fof(m__4448_02,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aSet0(xY)
    & ! [X1] :
        ( aElementOf0(X1,xY)
      <=> ( aElement0(X1)
          & aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & X1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
    & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & xd = sdtlpdtrp0(xC,xi) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4448_02) ).

fof(m__,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,xY)
       => aElementOf0(X1,szNzAzT0) )
    | aSubsetOf0(xY,szNzAzT0) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m__4448,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4448) ).

fof(c_0_4,hypothesis,
    ! [X3,X4] :
      ( ( aSet0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
        | aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])])]) ).

fof(c_0_5,hypothesis,
    ! [X2,X3,X3] :
      ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
      & aSet0(xY)
      & ( aElement0(X3)
        | ~ aElementOf0(X3,xY) )
      & ( aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X3,xY) )
      & ( X3 != szmzizndt0(sdtlpdtrp0(xN,xi))
        | ~ aElementOf0(X3,xY) )
      & ( ~ aElement0(X3)
        | ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
        | X3 = szmzizndt0(sdtlpdtrp0(xN,xi))
        | aElementOf0(X3,xY) )
      & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
      & xd = sdtlpdtrp0(xC,xi) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4448_02])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,xY)
         => aElementOf0(X1,szNzAzT0) )
      | aSubsetOf0(xY,szNzAzT0) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_7,hypothesis,
    ( aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,xY) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__4448]) ).

fof(c_0_10,negated_conjecture,
    ( aElementOf0(esk15_0,xY)
    & ~ aElementOf0(esk15_0,szNzAzT0)
    & ~ aSubsetOf0(xY,szNzAzT0) ),
    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_6])])])])]) ).

cnf(c_0_11,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xY) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    aElementOf0(esk15_0,xY),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ~ aElementOf0(esk15_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : NUM590+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n024.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 : Wed Jul  6 14:22:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.27/5.45  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.27/5.45  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.27/5.45  # Preprocessing time       : 0.018 s
% 0.27/5.45  
% 0.27/5.45  # Failure: Out of unprocessed clauses!
% 0.27/5.45  # OLD status GaveUp
% 0.27/5.45  # Parsed axioms                        : 92
% 0.27/5.45  # Removed by relevancy pruning/SinE    : 86
% 0.27/5.45  # Initial clauses                      : 11
% 0.27/5.45  # Removed in clause preprocessing      : 1
% 0.27/5.45  # Initial clauses in saturation        : 10
% 0.27/5.45  # Processed clauses                    : 10
% 0.27/5.45  # ...of these trivial                  : 0
% 0.27/5.45  # ...subsumed                          : 0
% 0.27/5.45  # ...remaining for further processing  : 10
% 0.27/5.45  # Other redundant clauses eliminated   : 0
% 0.27/5.45  # Clauses deleted for lack of memory   : 0
% 0.27/5.45  # Backward-subsumed                    : 0
% 0.27/5.45  # Backward-rewritten                   : 0
% 0.27/5.45  # Generated clauses                    : 0
% 0.27/5.45  # ...of the previous two non-trivial   : 0
% 0.27/5.45  # Contextual simplify-reflections      : 3
% 0.27/5.45  # Paramodulations                      : 0
% 0.27/5.45  # Factorizations                       : 0
% 0.27/5.45  # Equation resolutions                 : 0
% 0.27/5.45  # Current number of processed clauses  : 10
% 0.27/5.45  #    Positive orientable unit clauses  : 1
% 0.27/5.45  #    Positive unorientable unit clauses: 0
% 0.27/5.45  #    Negative unit clauses             : 2
% 0.27/5.45  #    Non-unit-clauses                  : 7
% 0.27/5.45  # Current number of unprocessed clauses: 0
% 0.27/5.45  # ...number of literals in the above   : 0
% 0.27/5.45  # Current number of archived formulas  : 0
% 0.27/5.45  # Current number of archived clauses   : 0
% 0.27/5.45  # Clause-clause subsumption calls (NU) : 27
% 0.27/5.45  # Rec. Clause-clause subsumption calls : 10
% 0.27/5.45  # Non-unit clause-clause subsumptions  : 3
% 0.27/5.45  # Unit Clause-clause subsumption calls : 0
% 0.27/5.45  # Rewrite failures with RHS unbound    : 0
% 0.27/5.45  # BW rewrite match attempts            : 0
% 0.27/5.45  # BW rewrite match successes           : 0
% 0.27/5.45  # Condensation attempts                : 0
% 0.27/5.45  # Condensation successes               : 0
% 0.27/5.45  # Termbank termtop insertions          : 3089
% 0.27/5.45  
% 0.27/5.45  # -------------------------------------------------
% 0.27/5.45  # User time                : 0.015 s
% 0.27/5.45  # System time              : 0.004 s
% 0.27/5.45  # Total time               : 0.019 s
% 0.27/5.45  # Maximum resident set size: 2908 pages
% 0.27/5.45  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.27/5.45  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.27/5.45  # Preprocessing time       : 0.311 s
% 0.27/5.45  
% 0.27/5.45  # Proof found!
% 0.27/5.45  # SZS status Theorem
% 0.27/5.45  # SZS output start CNFRefutation
% See solution above
% 0.27/5.45  # Proof object total steps             : 15
% 0.27/5.45  # Proof object clause steps            : 7
% 0.27/5.45  # Proof object formula steps           : 8
% 0.27/5.45  # Proof object conjectures             : 6
% 0.27/5.45  # Proof object clause conjectures      : 3
% 0.27/5.45  # Proof object formula conjectures     : 3
% 0.27/5.45  # Proof object initial clauses used    : 5
% 0.27/5.45  # Proof object initial formulas used   : 4
% 0.27/5.45  # Proof object generating inferences   : 2
% 0.27/5.45  # Proof object simplifying inferences  : 3
% 0.27/5.45  # Training examples: 0 positive, 0 negative
% 0.27/5.45  # Parsed axioms                        : 92
% 0.27/5.45  # Removed by relevancy pruning/SinE    : 16
% 0.27/5.45  # Initial clauses                      : 4782
% 0.27/5.45  # Removed in clause preprocessing      : 7
% 0.27/5.45  # Initial clauses in saturation        : 4775
% 0.27/5.45  # Processed clauses                    : 4787
% 0.27/5.45  # ...of these trivial                  : 0
% 0.27/5.45  # ...subsumed                          : 278
% 0.27/5.45  # ...remaining for further processing  : 4509
% 0.27/5.45  # Other redundant clauses eliminated   : 4411
% 0.27/5.45  # Clauses deleted for lack of memory   : 0
% 0.27/5.45  # Backward-subsumed                    : 2
% 0.27/5.45  # Backward-rewritten                   : 0
% 0.27/5.45  # Generated clauses                    : 55645
% 0.27/5.45  # ...of the previous two non-trivial   : 46665
% 0.27/5.45  # Contextual simplify-reflections      : 623
% 0.27/5.45  # Paramodulations                      : 51042
% 0.27/5.45  # Factorizations                       : 0
% 0.27/5.45  # Equation resolutions                 : 4597
% 0.27/5.45  # Current number of processed clauses  : 4503
% 0.27/5.45  #    Positive orientable unit clauses  : 29
% 0.27/5.45  #    Positive unorientable unit clauses: 0
% 0.27/5.45  #    Negative unit clauses             : 6
% 0.27/5.45  #    Non-unit-clauses                  : 4468
% 0.27/5.45  # Current number of unprocessed clauses: 46629
% 0.27/5.45  # ...number of literals in the above   : 759999
% 0.27/5.45  # Current number of archived formulas  : 0
% 0.27/5.45  # Current number of archived clauses   : 2
% 0.27/5.45  # Clause-clause subsumption calls (NU) : 4342271
% 0.27/5.45  # Rec. Clause-clause subsumption calls : 49745
% 0.27/5.45  # Non-unit clause-clause subsumptions  : 901
% 0.27/5.45  # Unit Clause-clause subsumption calls : 15812
% 0.27/5.45  # Rewrite failures with RHS unbound    : 0
% 0.27/5.45  # BW rewrite match attempts            : 0
% 0.27/5.45  # BW rewrite match successes           : 0
% 0.27/5.45  # Condensation attempts                : 0
% 0.27/5.45  # Condensation successes               : 0
% 0.27/5.45  # Termbank termtop insertions          : 3245728
% 0.27/5.45  
% 0.27/5.45  # -------------------------------------------------
% 0.27/5.45  # User time                : 4.573 s
% 0.27/5.45  # System time              : 0.059 s
% 0.27/5.45  # Total time               : 4.632 s
% 0.27/5.45  # Maximum resident set size: 85372 pages
%------------------------------------------------------------------------------