TSTP Solution File: NUM432+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM432+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 09:32:22 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   35 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  14   ~;  11   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ? [X1] :
        ( aInteger0(X1)
        & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc)) )
    | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | sdteqdtlpzmzozddtrp0(xa,xc,xq) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__924,hypothesis,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__924) ).

fof(mIntPlus,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => aInteger0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).

fof(m__899,hypothesis,
    ( aInteger0(xm)
    & sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__899) ).

fof(m__876,hypothesis,
    ( aInteger0(xn)
    & sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__876) ).

fof(c_0_5,negated_conjecture,
    ~ ( ? [X1] :
          ( aInteger0(X1)
          & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc)) )
      | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
      | sdteqdtlpzmzozddtrp0(xa,xc,xq) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,negated_conjecture,
    ! [X2] :
      ( ( ~ aInteger0(X2)
        | sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xc)) )
      & ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
      & ~ sdteqdtlpzmzozddtrp0(xa,xc,xq) ),
    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)],[c_0_5])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xc))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    inference(split_conjunct,[status(thm)],[m__924]) ).

cnf(c_0_9,negated_conjecture,
    ( sdtasdt0(xq,X1) != sdtasdt0(xq,sdtpldt0(xn,xm))
    | ~ aInteger0(X1) ),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_10,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | aInteger0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).

cnf(c_0_11,negated_conjecture,
    ~ aInteger0(sdtpldt0(xn,xm)),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,hypothesis,
    aInteger0(xm),
    inference(split_conjunct,[status(thm)],[m__899]) ).

cnf(c_0_14,hypothesis,
    aInteger0(xn),
    inference(split_conjunct,[status(thm)],[m__876]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM432+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n026.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 : Wed Jul  6 03:39:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.016 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 16
% 0.21/1.40  # Proof object clause steps            : 8
% 0.21/1.40  # Proof object formula steps           : 8
% 0.21/1.40  # Proof object conjectures             : 7
% 0.21/1.40  # Proof object clause conjectures      : 4
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 5
% 0.21/1.40  # Proof object initial formulas used   : 5
% 0.21/1.40  # Proof object generating inferences   : 2
% 0.21/1.40  # Proof object simplifying inferences  : 4
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 27
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 3
% 0.21/1.40  # Initial clauses                      : 48
% 0.21/1.40  # Removed in clause preprocessing      : 1
% 0.21/1.40  # Initial clauses in saturation        : 47
% 0.21/1.40  # Processed clauses                    : 115
% 0.21/1.40  # ...of these trivial                  : 7
% 0.21/1.40  # ...subsumed                          : 19
% 0.21/1.40  # ...remaining for further processing  : 89
% 0.21/1.40  # Other redundant clauses eliminated   : 1
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 0
% 0.21/1.40  # Backward-rewritten                   : 14
% 0.21/1.40  # Generated clauses                    : 218
% 0.21/1.40  # ...of the previous two non-trivial   : 202
% 0.21/1.40  # Contextual simplify-reflections      : 0
% 0.21/1.40  # Paramodulations                      : 215
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 3
% 0.21/1.40  # Current number of processed clauses  : 75
% 0.21/1.40  #    Positive orientable unit clauses  : 30
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 7
% 0.21/1.40  #    Non-unit-clauses                  : 38
% 0.21/1.40  # Current number of unprocessed clauses: 105
% 0.21/1.40  # ...number of literals in the above   : 430
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 14
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 257
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 165
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 9
% 0.21/1.40  # Unit Clause-clause subsumption calls : 49
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 11
% 0.21/1.40  # BW rewrite match successes           : 10
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 5827
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.020 s
% 0.21/1.40  # System time              : 0.003 s
% 0.21/1.40  # Total time               : 0.023 s
% 0.21/1.40  # Maximum resident set size: 3272 pages
% 0.21/23.42  eprover: CPU time limit exceeded, terminating
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.48  eprover: No such file or directory
% 0.21/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.49  eprover: No such file or directory
% 0.21/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------