TSTP Solution File: RNG050+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.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 20:26:43 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   40 (  14 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   38 (  16   ~;  12   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( aDimensionOf0(xs) != sz00
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
   => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mDefSPZ,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aVector0(X2) )
     => ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
          & aDimensionOf0(X2) = sz00 )
       => sdtasasdt0(X1,X2) = sz0z00 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSPZ) ).

fof(m__1542,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1542) ).

fof(mLERef,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLERef) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSZeroSc) ).

fof(c_0_5,negated_conjecture,
    ~ ( ( aDimensionOf0(xs) != sz00
       => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,negated_conjecture,
    ( ( aDimensionOf0(xs) = sz00
      | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
    & ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

fof(c_0_7,plain,
    ! [X3,X4] :
      ( ~ aVector0(X3)
      | ~ aVector0(X4)
      | aDimensionOf0(X3) != aDimensionOf0(X4)
      | aDimensionOf0(X4) != sz00
      | sdtasasdt0(X3,X4) = sz0z00 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPZ])]) ).

cnf(c_0_8,negated_conjecture,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | aDimensionOf0(xs) = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( sdtasasdt0(X1,X2) = sz0z00
    | aDimensionOf0(X2) != sz00
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    aDimensionOf0(xs) = sz00,
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1542]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | sdtlseqdt0(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).

cnf(c_0_14,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).

cnf(c_0_15,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n027.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 : Mon May 30 15:49:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.016 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 18
% 0.22/1.40  # Proof object clause steps            : 9
% 0.22/1.40  # Proof object formula steps           : 9
% 0.22/1.40  # Proof object conjectures             : 8
% 0.22/1.40  # Proof object clause conjectures      : 5
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 6
% 0.22/1.40  # Proof object initial formulas used   : 5
% 0.22/1.40  # Proof object generating inferences   : 2
% 0.22/1.40  # Proof object simplifying inferences  : 6
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 39
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 8
% 0.22/1.40  # Initial clauses                      : 39
% 0.22/1.40  # Removed in clause preprocessing      : 5
% 0.22/1.40  # Initial clauses in saturation        : 34
% 0.22/1.40  # Processed clauses                    : 36
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 0
% 0.22/1.40  # ...remaining for further processing  : 36
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 0
% 0.22/1.40  # Backward-rewritten                   : 0
% 0.22/1.40  # Generated clauses                    : 77
% 0.22/1.40  # ...of the previous two non-trivial   : 69
% 0.22/1.40  # Contextual simplify-reflections      : 0
% 0.22/1.40  # Paramodulations                      : 75
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 2
% 0.22/1.40  # Current number of processed clauses  : 36
% 0.22/1.40  #    Positive orientable unit clauses  : 4
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 3
% 0.22/1.40  #    Non-unit-clauses                  : 29
% 0.22/1.40  # Current number of unprocessed clauses: 67
% 0.22/1.40  # ...number of literals in the above   : 459
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 0
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 235
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 75
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.22/1.40  # Unit Clause-clause subsumption calls : 19
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 0
% 0.22/1.40  # BW rewrite match successes           : 0
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 4594
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.019 s
% 0.22/1.40  # System time              : 0.001 s
% 0.22/1.40  # Total time               : 0.020 s
% 0.22/1.40  # Maximum resident set size: 3036 pages
%------------------------------------------------------------------------------