TSTP Solution File: NUM615+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM615+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n004.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 09:34:25 EDT 2022

% Result   : Theorem 0.27s 1.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   29 (   9 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   30 (  14   ~;   9   |;   6   &)
%                                         (   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    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & sdtlpdtrp0(xe,X1) = xp ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__4982,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,xO)
     => ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X2) = X1 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4982) ).

fof(m__5182,hypothesis,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5182) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,X1) = xp ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,X2) != xp ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_5,hypothesis,
    ! [X3] :
      ( ( aElementOf0(esk6_1(X3),szNzAzT0)
        | ~ aElementOf0(X3,xO) )
      & ( aElementOf0(esk6_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X3,xO) )
      & ( sdtlpdtrp0(xe,esk6_1(X3)) = X3
        | ~ aElementOf0(X3,xO) ) ),
    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)],[m__4982])])])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( sdtlpdtrp0(xe,X1) != xp
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    ( aElementOf0(esk6_1(X1),sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( sdtlpdtrp0(xe,esk6_1(X1)) != xp
    | ~ aElementOf0(X1,xO) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,hypothesis,
    ( sdtlpdtrp0(xe,esk6_1(X1)) = X1
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,hypothesis,
    ( X1 != xp
    | ~ aElementOf0(X1,xO) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(xp,xO),
    inference(split_conjunct,[status(thm)],[m__5182]) ).

cnf(c_0_12,hypothesis,
    $false,
    inference(spm,[status(thm)],[c_0_10,c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : NUM615+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14  % Command  : run_ET %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jul  6 02:01:52 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.27/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45  # Preprocessing time       : 0.028 s
% 0.27/1.45  
% 0.27/1.45  # Proof found!
% 0.27/1.45  # SZS status Theorem
% 0.27/1.45  # SZS output start CNFRefutation
% See solution above
% 0.27/1.45  # Proof object total steps             : 13
% 0.27/1.45  # Proof object clause steps            : 7
% 0.27/1.45  # Proof object formula steps           : 6
% 0.27/1.45  # Proof object conjectures             : 5
% 0.27/1.45  # Proof object clause conjectures      : 2
% 0.27/1.45  # Proof object formula conjectures     : 3
% 0.27/1.45  # Proof object initial clauses used    : 4
% 0.27/1.45  # Proof object initial formulas used   : 3
% 0.27/1.45  # Proof object generating inferences   : 3
% 0.27/1.45  # Proof object simplifying inferences  : 0
% 0.27/1.45  # Training examples: 0 positive, 0 negative
% 0.27/1.45  # Parsed axioms                        : 111
% 0.27/1.45  # Removed by relevancy pruning/SinE    : 10
% 0.27/1.45  # Initial clauses                      : 188
% 0.27/1.45  # Removed in clause preprocessing      : 7
% 0.27/1.45  # Initial clauses in saturation        : 181
% 0.27/1.45  # Processed clauses                    : 324
% 0.27/1.45  # ...of these trivial                  : 6
% 0.27/1.45  # ...subsumed                          : 41
% 0.27/1.45  # ...remaining for further processing  : 277
% 0.27/1.45  # Other redundant clauses eliminated   : 10
% 0.27/1.45  # Clauses deleted for lack of memory   : 0
% 0.27/1.45  # Backward-subsumed                    : 1
% 0.27/1.45  # Backward-rewritten                   : 2
% 0.27/1.45  # Generated clauses                    : 764
% 0.27/1.45  # ...of the previous two non-trivial   : 706
% 0.27/1.45  # Contextual simplify-reflections      : 19
% 0.27/1.45  # Paramodulations                      : 732
% 0.27/1.45  # Factorizations                       : 0
% 0.27/1.45  # Equation resolutions                 : 32
% 0.27/1.45  # Current number of processed clauses  : 272
% 0.27/1.45  #    Positive orientable unit clauses  : 66
% 0.27/1.45  #    Positive unorientable unit clauses: 0
% 0.27/1.45  #    Negative unit clauses             : 20
% 0.27/1.45  #    Non-unit-clauses                  : 186
% 0.27/1.45  # Current number of unprocessed clauses: 560
% 0.27/1.45  # ...number of literals in the above   : 2885
% 0.27/1.45  # Current number of archived formulas  : 0
% 0.27/1.45  # Current number of archived clauses   : 3
% 0.27/1.45  # Clause-clause subsumption calls (NU) : 5314
% 0.27/1.45  # Rec. Clause-clause subsumption calls : 1206
% 0.27/1.45  # Non-unit clause-clause subsumptions  : 24
% 0.27/1.45  # Unit Clause-clause subsumption calls : 1352
% 0.27/1.45  # Rewrite failures with RHS unbound    : 0
% 0.27/1.45  # BW rewrite match attempts            : 2
% 0.27/1.45  # BW rewrite match successes           : 2
% 0.27/1.45  # Condensation attempts                : 0
% 0.27/1.45  # Condensation successes               : 0
% 0.27/1.45  # Termbank termtop insertions          : 25708
% 0.27/1.45  
% 0.27/1.45  # -------------------------------------------------
% 0.27/1.45  # User time                : 0.055 s
% 0.27/1.45  # System time              : 0.007 s
% 0.27/1.45  # Total time               : 0.062 s
% 0.27/1.45  # Maximum resident set size: 4828 pages
%------------------------------------------------------------------------------