TSTP Solution File: SWB009+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 : Tue Jul 19 19:01:57 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :   90 (  38   ~;  32   |;  17   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   42 (   3 sgn  17   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
    ? [X6] :
      ( iext(uri_ex_p,uri_ex_s,X6)
      & iext(uri_rdf_type,X6,uri_ex_c) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(owl_restrict_somevaluesfrom,axiom,
    ! [X3,X4,X2] :
      ( ( iext(uri_owl_someValuesFrom,X3,X2)
        & iext(uri_owl_onProperty,X3,X4) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> ? [X5] :
              ( iext(X4,X1,X5)
              & icext(X2,X5) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_restrict_somevaluesfrom) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rdfs_cext_def) ).

fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
    ? [X7] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X7)
      & iext(uri_rdf_type,X7,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X7,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X7,uri_ex_c) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X6] :
        ( iext(uri_ex_p,uri_ex_s,X6)
        & iext(uri_rdf_type,X6,uri_ex_c) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).

fof(c_0_5,negated_conjecture,
    ! [X7] :
      ( ~ iext(uri_ex_p,uri_ex_s,X7)
      | ~ iext(uri_rdf_type,X7,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X6,X7,X8,X9,X9,X11] :
      ( ( iext(X7,X9,esk1_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( icext(X8,esk1_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( ~ iext(X7,X9,X11)
        | ~ icext(X8,X11)
        | icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) ) ),
    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)],[owl_restrict_somevaluesfrom])])])])])])]) ).

fof(c_0_7,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ iext(uri_rdf_type,X3,X4)
        | icext(X4,X3) )
      & ( ~ icext(X4,X3)
        | iext(uri_rdf_type,X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])])]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( iext(X2,X4,esk1_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( icext(X3,esk1_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ icext(X1,uri_ex_s)
    | ~ iext(uri_rdf_type,esk1_4(X1,uri_ex_p,X2,uri_ex_s),uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( iext(uri_rdf_type,esk1_4(X1,X2,X3,X4),X3)
    | ~ icext(X1,X4)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ icext(X1,uri_ex_s)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_16,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_s,esk2_0)
    & iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    & iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ iext(uri_rdf_type,uri_ex_s,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    iext(uri_owl_onProperty,esk2_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    iext(uri_rdf_type,uri_ex_s,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n022.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 : Wed Jun  1 08:45:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42  # Preprocessing time       : 0.013 s
% 0.25/1.42  
% 0.25/1.42  # Failure: Out of unprocessed clauses!
% 0.25/1.42  # OLD status GaveUp
% 0.25/1.42  # Parsed axioms                        : 4
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 3
% 0.25/1.42  # Initial clauses                      : 1
% 0.25/1.42  # Removed in clause preprocessing      : 0
% 0.25/1.42  # Initial clauses in saturation        : 1
% 0.25/1.42  # Processed clauses                    : 1
% 0.25/1.42  # ...of these trivial                  : 0
% 0.25/1.42  # ...subsumed                          : 0
% 0.25/1.42  # ...remaining for further processing  : 1
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 0
% 0.25/1.42  # Backward-rewritten                   : 0
% 0.25/1.42  # Generated clauses                    : 0
% 0.25/1.42  # ...of the previous two non-trivial   : 0
% 0.25/1.42  # Contextual simplify-reflections      : 0
% 0.25/1.42  # Paramodulations                      : 0
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 1
% 0.25/1.42  #    Positive orientable unit clauses  : 0
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 0
% 0.25/1.42  #    Non-unit-clauses                  : 1
% 0.25/1.42  # Current number of unprocessed clauses: 0
% 0.25/1.42  # ...number of literals in the above   : 0
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 0
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.42  # Unit Clause-clause subsumption calls : 0
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 0
% 0.25/1.42  # BW rewrite match successes           : 0
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 138
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.010 s
% 0.25/1.42  # System time              : 0.003 s
% 0.25/1.42  # Total time               : 0.013 s
% 0.25/1.42  # Maximum resident set size: 2772 pages
% 0.25/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.25/1.42  # Preprocessing time       : 0.014 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 22
% 0.25/1.43  # Proof object clause steps            : 13
% 0.25/1.43  # Proof object formula steps           : 9
% 0.25/1.43  # Proof object conjectures             : 8
% 0.25/1.43  # Proof object clause conjectures      : 5
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 8
% 0.25/1.43  # Proof object initial formulas used   : 4
% 0.25/1.43  # Proof object generating inferences   : 5
% 0.25/1.43  # Proof object simplifying inferences  : 3
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 4
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.43  # Initial clauses                      : 12
% 0.25/1.43  # Removed in clause preprocessing      : 0
% 0.25/1.43  # Initial clauses in saturation        : 12
% 0.25/1.43  # Processed clauses                    : 18
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 18
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 0
% 0.25/1.43  # Generated clauses                    : 11
% 0.25/1.43  # ...of the previous two non-trivial   : 9
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 11
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 18
% 0.25/1.43  #    Positive orientable unit clauses  : 6
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 0
% 0.25/1.43  #    Non-unit-clauses                  : 12
% 0.25/1.43  # Current number of unprocessed clauses: 3
% 0.25/1.43  # ...number of literals in the above   : 18
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 0
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 23
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 7
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.43  # Unit Clause-clause subsumption calls : 0
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 0
% 0.25/1.43  # BW rewrite match successes           : 0
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 895
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.014 s
% 0.25/1.43  # System time              : 0.001 s
% 0.25/1.43  # Total time               : 0.015 s
% 0.25/1.43  # Maximum resident set size: 2776 pages
%------------------------------------------------------------------------------