TSTP Solution File: SWB014+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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 19:01:59 EDT 2022

% Result   : Theorem 0.15s 1.35s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :  158 (   0 equ)
%            Maximal formula atoms :   71 (   5 avg)
%            Number of connectives :  215 (  87   ~;  93   |;  31   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-5 aty)
%            Number of variables   :   48 (   3 sgn  20   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_bool_unionof_class_002,axiom,
    ! [X3,X4,X5,X6,X7] :
      ( ( iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X4,X6)
        & iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X6,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X3,X4)
      <=> ( ic(X3)
          & ic(X5)
          & ic(X7)
          & ! [X1] :
              ( icext(X3,X1)
            <=> ( icext(X5,X1)
                | icext(X7,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_bool_unionof_class_002) ).

fof(testcase_premise_fullish_014_Harry_belongs_to_some_Species,axiom,
    ? [X9,X10,X11] :
      ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_harry,X9)
      & iext(uri_owl_unionOf,X9,X10)
      & iext(uri_rdf_first,X10,uri_ex_Eagle)
      & iext(uri_rdf_rest,X10,X11)
      & iext(uri_rdf_first,X11,uri_ex_Falcon)
      & iext(uri_rdf_rest,X11,uri_rdf_nil) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).

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_conclusion_fullish_014_Harry_belongs_to_some_Species,conjecture,
    ? [X8] :
      ( iext(uri_rdf_type,uri_ex_harry,X8)
      & iext(uri_rdf_type,X8,uri_ex_Species) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

fof(c_0_4,plain,
    ! [X8,X9,X10,X11,X12,X13,X13] :
      ( ( ic(X8)
        | ~ iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ic(X10)
        | ~ iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ic(X12)
        | ~ iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ~ icext(X8,X13)
        | icext(X10,X13)
        | icext(X12,X13)
        | ~ iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ~ icext(X10,X13)
        | icext(X8,X13)
        | ~ iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ~ icext(X12,X13)
        | icext(X8,X13)
        | ~ iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ~ icext(X10,esk1_5(X8,X9,X10,X11,X12))
        | ~ icext(X8,esk1_5(X8,X9,X10,X11,X12))
        | ~ ic(X8)
        | ~ ic(X10)
        | ~ ic(X12)
        | iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( ~ icext(X12,esk1_5(X8,X9,X10,X11,X12))
        | ~ icext(X8,esk1_5(X8,X9,X10,X11,X12))
        | ~ ic(X8)
        | ~ ic(X10)
        | ~ ic(X12)
        | iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) )
      & ( icext(X8,esk1_5(X8,X9,X10,X11,X12))
        | icext(X10,esk1_5(X8,X9,X10,X11,X12))
        | icext(X12,esk1_5(X8,X9,X10,X11,X12))
        | ~ ic(X8)
        | ~ ic(X10)
        | ~ ic(X12)
        | iext(uri_owl_unionOf,X8,X9)
        | ~ iext(uri_rdf_first,X9,X10)
        | ~ iext(uri_rdf_rest,X9,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,uri_rdf_nil) ) ),
    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_bool_unionof_class_002])])])])])])]) ).

fof(c_0_5,plain,
    ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
    & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
    & iext(uri_rdf_type,uri_ex_harry,esk2_0)
    & iext(uri_owl_unionOf,esk2_0,esk3_0)
    & iext(uri_rdf_first,esk3_0,uri_ex_Eagle)
    & iext(uri_rdf_rest,esk3_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,uri_ex_Falcon)
    & iext(uri_rdf_rest,esk4_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species])]) ).

cnf(c_0_6,plain,
    ( icext(X2,X6)
    | icext(X4,X6)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_unionOf,X5,X3)
    | ~ icext(X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( icext(X1,X2)
    | icext(X3,X2)
    | ~ icext(X4,X2)
    | ~ iext(uri_rdf_first,esk4_0,X3)
    | ~ iext(uri_rdf_rest,X5,esk4_0)
    | ~ iext(uri_rdf_first,X5,X1)
    | ~ iext(uri_owl_unionOf,X4,X5) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,plain,
    iext(uri_rdf_first,esk3_0,uri_ex_Eagle),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_11,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_12,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(X2,X1)
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk4_0,X2)
    | ~ iext(uri_owl_unionOf,X3,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_13,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,negated_conjecture,
    ~ ? [X8] :
        ( iext(uri_rdf_type,uri_ex_harry,X8)
        & iext(uri_rdf_type,X8,uri_ex_Species) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(c_0_15,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(X2,X1)
    | ~ iext(uri_rdf_first,esk4_0,X2)
    | ~ iext(uri_owl_unionOf,X3,esk3_0)
    | ~ iext(uri_rdf_type,X1,X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    iext(uri_rdf_type,uri_ex_harry,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,plain,
    iext(uri_owl_unionOf,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_18,negated_conjecture,
    ! [X9] :
      ( ~ iext(uri_rdf_type,uri_ex_harry,X9)
      | ~ iext(uri_rdf_type,X9,uri_ex_Species) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).

cnf(c_0_19,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(X1,uri_ex_harry)
    | ~ iext(uri_rdf_first,esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_20,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_Falcon),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_Species)
    | ~ iext(uri_rdf_type,uri_ex_harry,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_23,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_24,plain,
    ( icext(uri_ex_Falcon,uri_ex_harry)
    | icext(uri_ex_Eagle,uri_ex_harry) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27,plain,
    icext(uri_ex_Eagle,uri_ex_harry),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_27]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.10  % Command  : run_ET %s %d
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Wed Jun  1 08:37:44 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.15/1.35  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.15/1.35  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.15/1.35  # Preprocessing time       : 0.007 s
% 0.15/1.35  
% 0.15/1.35  # Failure: Out of unprocessed clauses!
% 0.15/1.35  # OLD status GaveUp
% 0.15/1.35  # Parsed axioms                        : 4
% 0.15/1.35  # Removed by relevancy pruning/SinE    : 3
% 0.15/1.35  # Initial clauses                      : 1
% 0.15/1.35  # Removed in clause preprocessing      : 0
% 0.15/1.35  # Initial clauses in saturation        : 1
% 0.15/1.35  # Processed clauses                    : 1
% 0.15/1.35  # ...of these trivial                  : 0
% 0.15/1.35  # ...subsumed                          : 0
% 0.15/1.35  # ...remaining for further processing  : 1
% 0.15/1.35  # Other redundant clauses eliminated   : 0
% 0.15/1.35  # Clauses deleted for lack of memory   : 0
% 0.15/1.35  # Backward-subsumed                    : 0
% 0.15/1.35  # Backward-rewritten                   : 0
% 0.15/1.35  # Generated clauses                    : 0
% 0.15/1.35  # ...of the previous two non-trivial   : 0
% 0.15/1.35  # Contextual simplify-reflections      : 0
% 0.15/1.35  # Paramodulations                      : 0
% 0.15/1.35  # Factorizations                       : 0
% 0.15/1.35  # Equation resolutions                 : 0
% 0.15/1.35  # Current number of processed clauses  : 1
% 0.15/1.35  #    Positive orientable unit clauses  : 0
% 0.15/1.35  #    Positive unorientable unit clauses: 0
% 0.15/1.35  #    Negative unit clauses             : 0
% 0.15/1.35  #    Non-unit-clauses                  : 1
% 0.15/1.35  # Current number of unprocessed clauses: 0
% 0.15/1.35  # ...number of literals in the above   : 0
% 0.15/1.35  # Current number of archived formulas  : 0
% 0.15/1.35  # Current number of archived clauses   : 0
% 0.15/1.35  # Clause-clause subsumption calls (NU) : 0
% 0.15/1.35  # Rec. Clause-clause subsumption calls : 0
% 0.15/1.35  # Non-unit clause-clause subsumptions  : 0
% 0.15/1.35  # Unit Clause-clause subsumption calls : 0
% 0.15/1.35  # Rewrite failures with RHS unbound    : 0
% 0.15/1.35  # BW rewrite match attempts            : 0
% 0.15/1.35  # BW rewrite match successes           : 0
% 0.15/1.35  # Condensation attempts                : 0
% 0.15/1.35  # Condensation successes               : 0
% 0.15/1.35  # Termbank termtop insertions          : 171
% 0.15/1.35  
% 0.15/1.35  # -------------------------------------------------
% 0.15/1.35  # User time                : 0.006 s
% 0.15/1.35  # System time              : 0.001 s
% 0.15/1.35  # Total time               : 0.007 s
% 0.15/1.35  # Maximum resident set size: 2776 pages
% 0.15/1.35  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.15/1.35  # Preprocessing time       : 0.007 s
% 0.15/1.35  
% 0.15/1.35  # Proof found!
% 0.15/1.35  # SZS status Theorem
% 0.15/1.35  # SZS output start CNFRefutation
% See solution above
% 0.15/1.35  # Proof object total steps             : 30
% 0.15/1.35  # Proof object clause steps            : 21
% 0.15/1.35  # Proof object formula steps           : 9
% 0.15/1.35  # Proof object conjectures             : 6
% 0.15/1.35  # Proof object clause conjectures      : 3
% 0.15/1.35  # Proof object formula conjectures     : 3
% 0.15/1.35  # Proof object initial clauses used    : 12
% 0.15/1.35  # Proof object initial formulas used   : 4
% 0.15/1.35  # Proof object generating inferences   : 9
% 0.15/1.35  # Proof object simplifying inferences  : 6
% 0.15/1.35  # Training examples: 0 positive, 0 negative
% 0.15/1.35  # Parsed axioms                        : 4
% 0.15/1.35  # Removed by relevancy pruning/SinE    : 0
% 0.15/1.35  # Initial clauses                      : 20
% 0.15/1.35  # Removed in clause preprocessing      : 0
% 0.15/1.35  # Initial clauses in saturation        : 20
% 0.15/1.35  # Processed clauses                    : 83
% 0.15/1.35  # ...of these trivial                  : 0
% 0.15/1.35  # ...subsumed                          : 15
% 0.15/1.35  # ...remaining for further processing  : 68
% 0.15/1.35  # Other redundant clauses eliminated   : 0
% 0.15/1.35  # Clauses deleted for lack of memory   : 0
% 0.15/1.35  # Backward-subsumed                    : 5
% 0.15/1.35  # Backward-rewritten                   : 3
% 0.15/1.35  # Generated clauses                    : 116
% 0.15/1.35  # ...of the previous two non-trivial   : 111
% 0.15/1.35  # Contextual simplify-reflections      : 21
% 0.15/1.35  # Paramodulations                      : 116
% 0.15/1.35  # Factorizations                       : 0
% 0.15/1.35  # Equation resolutions                 : 0
% 0.15/1.35  # Current number of processed clauses  : 60
% 0.15/1.35  #    Positive orientable unit clauses  : 10
% 0.15/1.35  #    Positive unorientable unit clauses: 0
% 0.15/1.35  #    Negative unit clauses             : 2
% 0.15/1.35  #    Non-unit-clauses                  : 48
% 0.15/1.35  # Current number of unprocessed clauses: 44
% 0.15/1.35  # ...number of literals in the above   : 289
% 0.15/1.35  # Current number of archived formulas  : 0
% 0.15/1.35  # Current number of archived clauses   : 8
% 0.15/1.35  # Clause-clause subsumption calls (NU) : 616
% 0.15/1.35  # Rec. Clause-clause subsumption calls : 211
% 0.15/1.35  # Non-unit clause-clause subsumptions  : 39
% 0.15/1.35  # Unit Clause-clause subsumption calls : 43
% 0.15/1.35  # Rewrite failures with RHS unbound    : 0
% 0.15/1.35  # BW rewrite match attempts            : 2
% 0.15/1.35  # BW rewrite match successes           : 2
% 0.15/1.35  # Condensation attempts                : 0
% 0.15/1.35  # Condensation successes               : 0
% 0.15/1.35  # Termbank termtop insertions          : 4108
% 0.15/1.35  
% 0.15/1.35  # -------------------------------------------------
% 0.15/1.35  # User time                : 0.009 s
% 0.15/1.35  # System time              : 0.001 s
% 0.15/1.35  # Total time               : 0.010 s
% 0.15/1.35  # Maximum resident set size: 2780 pages
%------------------------------------------------------------------------------