TSTP Solution File: MSC017+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MSC017+1 : 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 : Sun Jul 17 22:43:05 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   71 (   4 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   82 (  35   ~;  28   |;   8   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-1 aty)
%            Number of variables   :   21 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(no_bad,conjecture,
    ! [X1] :
      ( dive(X1)
     => ! [X2] :
          ( outcome(X1,X2)
         => ~ bad(X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',no_bad) ).

fof(dci_is_the_only_bad_outcome,axiom,
    ! [X1] :
      ( dive(X1)
     => ! [X2] :
          ( ( outcome(X1,X2)
            & bad(X2) )
         => X2 = dci ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dci_is_the_only_bad_outcome) ).

fof(depth_and_time_and_nitrogen,axiom,
    ! [X1] :
      ( dive(X1)
     => ( ( greater(depth(X1),depth_limit)
          | greater(time(X1),time_limit) )
      <=> greater(nitrogen(X1),nitrogen_limit) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',depth_and_time_and_nitrogen) ).

fof(no_deep_long,axiom,
    ! [X1] :
      ( dive(X1)
     => ( ~ greater(depth(X1),depth_limit)
        & ~ greater(time(X1),time_limit) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',no_deep_long) ).

fof(too_much_nitrogen,axiom,
    ! [X1] :
      ( dive(X1)
     => ( greater(nitrogen(X1),nitrogen_limit)
      <=> outcome(X1,dci) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',too_much_nitrogen) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( dive(X1)
       => ! [X2] :
            ( outcome(X1,X2)
           => ~ bad(X2) ) ),
    inference(assume_negation,[status(cth)],[no_bad]) ).

fof(c_0_6,plain,
    ! [X3,X4] :
      ( ~ dive(X3)
      | ~ outcome(X3,X4)
      | ~ bad(X4)
      | X4 = dci ),
    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)],[dci_is_the_only_bad_outcome])])])])]) ).

fof(c_0_7,negated_conjecture,
    ( dive(esk1_0)
    & outcome(esk1_0,esk2_0)
    & bad(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])]) ).

cnf(c_0_8,plain,
    ( X1 = dci
    | ~ bad(X1)
    | ~ outcome(X2,X1)
    | ~ dive(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    outcome(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    bad(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    dive(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X2] :
      ( ( ~ greater(depth(X2),depth_limit)
        | greater(nitrogen(X2),nitrogen_limit)
        | ~ dive(X2) )
      & ( ~ greater(time(X2),time_limit)
        | greater(nitrogen(X2),nitrogen_limit)
        | ~ dive(X2) )
      & ( ~ greater(nitrogen(X2),nitrogen_limit)
        | greater(depth(X2),depth_limit)
        | greater(time(X2),time_limit)
        | ~ dive(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[depth_and_time_and_nitrogen])])]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ( ~ greater(depth(X2),depth_limit)
        | ~ dive(X2) )
      & ( ~ greater(time(X2),time_limit)
        | ~ dive(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[no_deep_long])])])]) ).

fof(c_0_14,plain,
    ! [X2] :
      ( ( ~ greater(nitrogen(X2),nitrogen_limit)
        | outcome(X2,dci)
        | ~ dive(X2) )
      & ( ~ outcome(X2,dci)
        | greater(nitrogen(X2),nitrogen_limit)
        | ~ dive(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[too_much_nitrogen])])]) ).

cnf(c_0_15,negated_conjecture,
    esk2_0 = dci,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]) ).

cnf(c_0_16,plain,
    ( greater(time(X1),time_limit)
    | greater(depth(X1),depth_limit)
    | ~ dive(X1)
    | ~ greater(nitrogen(X1),nitrogen_limit) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( ~ dive(X1)
    | ~ greater(time(X1),time_limit) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( ~ dive(X1)
    | ~ greater(depth(X1),depth_limit) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( greater(nitrogen(X1),nitrogen_limit)
    | ~ dive(X1)
    | ~ outcome(X1,dci) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    outcome(esk1_0,dci),
    inference(rw,[status(thm)],[c_0_9,c_0_15]) ).

cnf(c_0_21,plain,
    ( ~ greater(nitrogen(X1),nitrogen_limit)
    | ~ dive(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    greater(nitrogen(esk1_0),nitrogen_limit),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11])]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jul  1 16:18:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.014 s
% 0.23/1.42  
% 0.23/1.42  # Failure: Out of unprocessed clauses!
% 0.23/1.42  # OLD status GaveUp
% 0.23/1.42  # Parsed axioms                        : 7
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 4
% 0.23/1.42  # Initial clauses                      : 5
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 5
% 0.23/1.42  # Processed clauses                    : 7
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 7
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 2
% 0.23/1.42  # Generated clauses                    : 1
% 0.23/1.42  # ...of the previous two non-trivial   : 2
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 1
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 5
% 0.23/1.42  #    Positive orientable unit clauses  : 4
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 1
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 2
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.42  # Unit Clause-clause subsumption calls : 0
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1
% 0.23/1.42  # BW rewrite match successes           : 1
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 295
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.009 s
% 0.23/1.42  # System time              : 0.005 s
% 0.23/1.42  # Total time               : 0.014 s
% 0.23/1.42  # Maximum resident set size: 2772 pages
% 0.23/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.014 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 24
% 0.23/1.42  # Proof object clause steps            : 13
% 0.23/1.42  # Proof object formula steps           : 11
% 0.23/1.42  # Proof object conjectures             : 10
% 0.23/1.42  # Proof object clause conjectures      : 7
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 8
% 0.23/1.42  # Proof object initial formulas used   : 5
% 0.23/1.42  # Proof object generating inferences   : 3
% 0.23/1.42  # Proof object simplifying inferences  : 10
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 7
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 13
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 13
% 0.23/1.42  # Processed clauses                    : 16
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 2
% 0.23/1.42  # ...remaining for further processing  : 14
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 1
% 0.23/1.42  # Backward-rewritten                   : 2
% 0.23/1.42  # Generated clauses                    : 4
% 0.23/1.42  # ...of the previous two non-trivial   : 3
% 0.23/1.42  # Contextual simplify-reflections      : 4
% 0.23/1.42  # Paramodulations                      : 4
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 11
% 0.23/1.42  #    Positive orientable unit clauses  : 5
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 6
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 3
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 8
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 7
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 7
% 0.23/1.42  # Unit Clause-clause subsumption calls : 0
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1
% 0.23/1.42  # BW rewrite match successes           : 1
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 810
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.013 s
% 0.23/1.42  # System time              : 0.001 s
% 0.23/1.42  # Total time               : 0.014 s
% 0.23/1.42  # Maximum resident set size: 2776 pages
%------------------------------------------------------------------------------