TSTP Solution File: NUM602+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM602+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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 09:34:17 EDT 2022

% Result   : Theorem 0.26s 1.44s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   49 (  19 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :   54 (  19   ~;  17   |;  17   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   4   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & sdtlpdtrp0(xe,X1) = xx ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m__4982,hypothesis,
    ! [X1] :
      ( ( ? [X2] :
            ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            & sdtlpdtrp0(xe,X2) = X1 )
        | aElementOf0(X1,xO) )
     => ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X2) = X1 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4982) ).

fof(m__5009,hypothesis,
    ( ? [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,X1) = xx )
    & aElementOf0(xx,xO) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__5009) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & sdtlpdtrp0(xe,X1) = xx ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,hypothesis,
    ! [X3,X4] :
      ( ( aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( sdtlpdtrp0(xd,esk3_1(X3)) = szDzizrdt0(xd)
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( aElementOf0(esk3_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( sdtlpdtrp0(xe,esk3_1(X3)) = X3
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aElementOf0(X3,xO) )
      & ( sdtlpdtrp0(xd,esk3_1(X3)) = szDzizrdt0(xd)
        | ~ aElementOf0(X3,xO) )
      & ( aElementOf0(esk3_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X3,xO) )
      & ( sdtlpdtrp0(xe,esk3_1(X3)) = X3
        | ~ aElementOf0(X3,xO) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[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])])])])])])]) ).

fof(c_0_5,hypothesis,
    ( aElementOf0(esk1_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & sdtlpdtrp0(xe,esk1_0) = xx
    & aElementOf0(xx,xO) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__5009])])])]) ).

fof(c_0_6,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlpdtrp0(xe,X2) != xx ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_7,hypothesis,
    ( sdtlpdtrp0(xe,esk3_1(X1)) = X1
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(xx,xO),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    ( aElementOf0(esk3_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( sdtlpdtrp0(xe,X1) != xx
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    sdtlpdtrp0(xe,esk3_1(xx)) = xx,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,hypothesis,
    aElementOf0(esk3_1(xx),szNzAzT0),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM602+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul  5 04:47:42 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.26/1.44  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.26/1.44  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.26/1.44  # Preprocessing time       : 0.024 s
% 0.26/1.44  
% 0.26/1.44  # Proof found!
% 0.26/1.44  # SZS status Theorem
% 0.26/1.44  # SZS output start CNFRefutation
% See solution above
% 0.26/1.44  # Proof object total steps             : 14
% 0.26/1.44  # Proof object clause steps            : 7
% 0.26/1.44  # Proof object formula steps           : 7
% 0.26/1.44  # Proof object conjectures             : 5
% 0.26/1.44  # Proof object clause conjectures      : 2
% 0.26/1.44  # Proof object formula conjectures     : 3
% 0.26/1.44  # Proof object initial clauses used    : 4
% 0.26/1.44  # Proof object initial formulas used   : 3
% 0.26/1.44  # Proof object generating inferences   : 3
% 0.26/1.44  # Proof object simplifying inferences  : 2
% 0.26/1.44  # Training examples: 0 positive, 0 negative
% 0.26/1.44  # Parsed axioms                        : 99
% 0.26/1.44  # Removed by relevancy pruning/SinE    : 76
% 0.26/1.44  # Initial clauses                      : 72
% 0.26/1.44  # Removed in clause preprocessing      : 2
% 0.26/1.44  # Initial clauses in saturation        : 70
% 0.26/1.44  # Processed clauses                    : 75
% 0.26/1.44  # ...of these trivial                  : 2
% 0.26/1.44  # ...subsumed                          : 3
% 0.26/1.44  # ...remaining for further processing  : 70
% 0.26/1.44  # Other redundant clauses eliminated   : 0
% 0.26/1.44  # Clauses deleted for lack of memory   : 0
% 0.26/1.44  # Backward-subsumed                    : 0
% 0.26/1.44  # Backward-rewritten                   : 0
% 0.26/1.44  # Generated clauses                    : 39
% 0.26/1.44  # ...of the previous two non-trivial   : 38
% 0.26/1.44  # Contextual simplify-reflections      : 0
% 0.26/1.44  # Paramodulations                      : 36
% 0.26/1.44  # Factorizations                       : 0
% 0.26/1.44  # Equation resolutions                 : 3
% 0.26/1.44  # Current number of processed clauses  : 70
% 0.26/1.44  #    Positive orientable unit clauses  : 15
% 0.26/1.44  #    Positive unorientable unit clauses: 0
% 0.26/1.44  #    Negative unit clauses             : 2
% 0.26/1.44  #    Non-unit-clauses                  : 53
% 0.26/1.44  # Current number of unprocessed clauses: 33
% 0.26/1.44  # ...number of literals in the above   : 82
% 0.26/1.44  # Current number of archived formulas  : 0
% 0.26/1.44  # Current number of archived clauses   : 0
% 0.26/1.44  # Clause-clause subsumption calls (NU) : 281
% 0.26/1.44  # Rec. Clause-clause subsumption calls : 79
% 0.26/1.44  # Non-unit clause-clause subsumptions  : 3
% 0.26/1.44  # Unit Clause-clause subsumption calls : 9
% 0.26/1.44  # Rewrite failures with RHS unbound    : 0
% 0.26/1.44  # BW rewrite match attempts            : 0
% 0.26/1.44  # BW rewrite match successes           : 0
% 0.26/1.44  # Condensation attempts                : 0
% 0.26/1.44  # Condensation successes               : 0
% 0.26/1.44  # Termbank termtop insertions          : 7966
% 0.26/1.44  
% 0.26/1.44  # -------------------------------------------------
% 0.26/1.44  # User time                : 0.023 s
% 0.26/1.44  # System time              : 0.004 s
% 0.26/1.44  # Total time               : 0.027 s
% 0.26/1.44  # Maximum resident set size: 3296 pages
% 0.26/23.43  eprover: CPU time limit exceeded, terminating
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------