TSTP Solution File: NUM568+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 09:33:54 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   31 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   27 (  11   ~;  11   |;   4   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    9 (   0 sgn   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & szszuzczcdt0(X1) = xK ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(mNatExtra,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( X1 = sz00
        | ? [X2] :
            ( aElementOf0(X2,szNzAzT0)
            & X1 = szszuzczcdt0(X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNatExtra) ).

fof(m__3418,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3418) ).

fof(m__3462,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3462) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & szszuzczcdt0(X1) = xK ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,plain,
    ! [X3] :
      ( ( aElementOf0(esk1_1(X3),szNzAzT0)
        | X3 = sz00
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X3 = szszuzczcdt0(esk1_1(X3))
        | X3 = sz00
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    inference(distribute,[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)],[mNatExtra])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | szszuzczcdt0(X2) != xK ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_7,plain,
    ( X1 = sz00
    | aElementOf0(esk1_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(xK,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3418]) ).

cnf(c_0_9,hypothesis,
    xK != sz00,
    inference(split_conjunct,[status(thm)],[m__3462]) ).

cnf(c_0_10,plain,
    ( X1 = sz00
    | X1 = szszuzczcdt0(esk1_1(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( szszuzczcdt0(X1) != xK
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,hypothesis,
    aElementOf0(esk1_1(xK),szNzAzT0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_13,hypothesis,
    szszuzczcdt0(esk1_1(xK)) = xK,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_9]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 08:49:59 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/1.41  # Preprocessing time       : 0.017 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 15
% 0.23/1.41  # Proof object clause steps            : 8
% 0.23/1.41  # Proof object formula steps           : 7
% 0.23/1.41  # Proof object conjectures             : 5
% 0.23/1.41  # Proof object clause conjectures      : 2
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 5
% 0.23/1.41  # Proof object initial formulas used   : 4
% 0.23/1.41  # Proof object generating inferences   : 3
% 0.23/1.41  # Proof object simplifying inferences  : 4
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 80
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 61
% 0.23/1.41  # Initial clauses                      : 23
% 0.23/1.41  # Removed in clause preprocessing      : 1
% 0.23/1.41  # Initial clauses in saturation        : 22
% 0.23/1.41  # Processed clauses                    : 37
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 3
% 0.23/1.41  # ...remaining for further processing  : 34
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 75
% 0.23/1.41  # ...of the previous two non-trivial   : 61
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 75
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 34
% 0.23/1.41  #    Positive orientable unit clauses  : 6
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 9
% 0.23/1.41  #    Non-unit-clauses                  : 19
% 0.23/1.41  # Current number of unprocessed clauses: 46
% 0.23/1.41  # ...number of literals in the above   : 103
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 0
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 64
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 30
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 12
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 0
% 0.23/1.41  # BW rewrite match successes           : 0
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 3396
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.015 s
% 0.23/1.41  # System time              : 0.003 s
% 0.23/1.41  # Total time               : 0.018 s
% 0.23/1.41  # Maximum resident set size: 2856 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------