TSTP Solution File: RNG102+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG102+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 20:26:55 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   70 (  25 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :   95 (  41   ~;  39   |;  12   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   26 (   2 sgn  11   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElement0(X1)
      & sdtasdt0(xc,X1) = xy ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mDefPrIdeal,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ! [X2] :
          ( X2 = slsdtgt0(X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4] :
                    ( aElement0(X4)
                    & sdtasdt0(X1,X4) = X3 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefPrIdeal) ).

fof(m__1905,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1905) ).

fof(m__1933,hypothesis,
    ( aElementOf0(xx,slsdtgt0(xc))
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1933) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xc,X1) = xy ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,negated_conjecture,
    ! [X2] :
      ( ~ aElement0(X2)
      | sdtasdt0(xc,X2) != xy ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X5,X6,X7,X7,X9,X6,X11] :
      ( ( aSet0(X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( aElement0(esk3_3(X5,X6,X7))
        | ~ aElementOf0(X7,X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( sdtasdt0(X5,esk3_3(X5,X6,X7)) = X7
        | ~ aElementOf0(X7,X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( ~ aElement0(X9)
        | sdtasdt0(X5,X9) != X7
        | aElementOf0(X7,X6)
        | X6 != slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( ~ aElementOf0(esk4_2(X5,X6),X6)
        | ~ aElement0(X11)
        | sdtasdt0(X5,X11) != esk4_2(X5,X6)
        | ~ aSet0(X6)
        | X6 = slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( aElement0(esk5_2(X5,X6))
        | aElementOf0(esk4_2(X5,X6),X6)
        | ~ aSet0(X6)
        | X6 = slsdtgt0(X5)
        | ~ aElement0(X5) )
      & ( sdtasdt0(X5,esk5_2(X5,X6)) = esk4_2(X5,X6)
        | aElementOf0(esk4_2(X5,X6),X6)
        | ~ aSet0(X6)
        | X6 = slsdtgt0(X5)
        | ~ aElement0(X5) ) ),
    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)],[mDefPrIdeal])])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( sdtasdt0(xc,X1) != xy
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( sdtasdt0(X1,esk3_3(X1,X2,X3)) = X3
    | ~ aElement0(X1)
    | X2 != slsdtgt0(X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    aElement0(xc),
    inference(split_conjunct,[status(thm)],[m__1905]) ).

cnf(c_0_10,negated_conjecture,
    ( X1 != slsdtgt0(xc)
    | X2 != xy
    | ~ aElementOf0(X2,X1)
    | ~ aElement0(esk3_3(xc,X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_11,plain,
    ( aElement0(esk3_3(X1,X2,X3))
    | ~ aElement0(X1)
    | X2 != slsdtgt0(X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( X1 != slsdtgt0(xc)
    | X2 != xy
    | ~ aElementOf0(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9])]) ).

cnf(c_0_13,negated_conjecture,
    ( X1 != xy
    | ~ aElementOf0(X1,slsdtgt0(xc)) ),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_14,hypothesis,
    aElementOf0(xy,slsdtgt0(xc)),
    inference(split_conjunct,[status(thm)],[m__1933]) ).

cnf(c_0_15,hypothesis,
    $false,
    inference(spm,[status(thm)],[c_0_13,c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG102+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n018.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 : Mon May 30 12:20:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.017 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 16
% 0.22/1.41  # Proof object clause steps            : 9
% 0.22/1.41  # Proof object formula steps           : 7
% 0.22/1.41  # Proof object conjectures             : 7
% 0.22/1.41  # Proof object clause conjectures      : 4
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 5
% 0.22/1.41  # Proof object initial formulas used   : 4
% 0.22/1.41  # Proof object generating inferences   : 4
% 0.22/1.41  # Proof object simplifying inferences  : 4
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 41
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 20
% 0.22/1.41  # Initial clauses                      : 43
% 0.22/1.41  # Removed in clause preprocessing      : 2
% 0.22/1.41  # Initial clauses in saturation        : 41
% 0.22/1.41  # Processed clauses                    : 1124
% 0.22/1.41  # ...of these trivial                  : 49
% 0.22/1.41  # ...subsumed                          : 730
% 0.22/1.41  # ...remaining for further processing  : 345
% 0.22/1.41  # Other redundant clauses eliminated   : 5
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 11
% 0.22/1.41  # Backward-rewritten                   : 19
% 0.22/1.41  # Generated clauses                    : 11617
% 0.22/1.41  # ...of the previous two non-trivial   : 10735
% 0.22/1.41  # Contextual simplify-reflections      : 231
% 0.22/1.41  # Paramodulations                      : 11592
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 25
% 0.22/1.41  # Current number of processed clauses  : 315
% 0.22/1.41  #    Positive orientable unit clauses  : 75
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 12
% 0.22/1.41  #    Non-unit-clauses                  : 228
% 0.22/1.41  # Current number of unprocessed clauses: 9190
% 0.22/1.41  # ...number of literals in the above   : 38609
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 30
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 17881
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 12888
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 765
% 0.22/1.41  # Unit Clause-clause subsumption calls : 473
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 51
% 0.22/1.41  # BW rewrite match successes           : 7
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 228097
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.192 s
% 0.22/1.41  # System time              : 0.012 s
% 0.22/1.41  # Total time               : 0.203 s
% 0.22/1.41  # Maximum resident set size: 12064 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: CPU time limit exceeded, terminating
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------