TSTP Solution File: SWB008+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 19:01:56 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   63 (  12 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   66 (  26   ~;  25   |;  11   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   38 (   5 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_char_inversefunctional,axiom,
    ! [X4] :
      ( icext(uri_owl_InverseFunctionalProperty,X4)
    <=> ( ip(X4)
        & ! [X5,X6,X3] :
            ( ( iext(X4,X5,X3)
              & iext(X4,X6,X3) )
           => X5 = X6 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_char_inversefunctional) ).

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_008_Inverse_Functional_Data_Properties,axiom,
    ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(owl_eqdis_sameas,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_sameAs,X1,X3)
    <=> X1 = X3 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_eqdis_sameas) ).

fof(c_0_5,plain,
    ! [X7,X8,X9,X10,X7] :
      ( ( ip(X7)
        | ~ icext(uri_owl_InverseFunctionalProperty,X7) )
      & ( ~ iext(X7,X8,X10)
        | ~ iext(X7,X9,X10)
        | X8 = X9
        | ~ icext(uri_owl_InverseFunctionalProperty,X7) )
      & ( iext(X7,esk1_1(X7),esk3_1(X7))
        | ~ ip(X7)
        | icext(uri_owl_InverseFunctionalProperty,X7) )
      & ( iext(X7,esk2_1(X7),esk3_1(X7))
        | ~ ip(X7)
        | icext(uri_owl_InverseFunctionalProperty,X7) )
      & ( esk1_1(X7) != esk2_1(X7)
        | ~ ip(X7)
        | icext(uri_owl_InverseFunctionalProperty,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_char_inversefunctional])])])])])])]) ).

fof(c_0_6,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_7,plain,
    ( X2 = X3
    | ~ icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ iext(X1,X3,X4)
    | ~ iext(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( X1 = X2
    | ~ iext(uri_rdf_type,X3,uri_owl_InverseFunctionalProperty)
    | ~ iext(X3,X2,X4)
    | ~ iext(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

fof(c_0_11,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | ~ iext(uri_foaf_mbox_sha1sum,X2,X3)
    | ~ iext(uri_foaf_mbox_sha1sum,X1,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

fof(c_0_14,plain,
    ! [X4,X5,X4,X5] :
      ( ( ~ iext(uri_owl_sameAs,X4,X5)
        | X4 = X5 )
      & ( X4 != X5
        | iext(uri_owl_sameAs,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])])]) ).

fof(c_0_15,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( X1 = uri_ex_robert
    | ~ iext(uri_foaf_mbox_sha1sum,X1,literal_plain(dat_str_xyz)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(c_0_18,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    uri_ex_robert = uri_ex_bob,
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n021.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 02:28:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.013 s
% 0.23/1.41  
% 0.23/1.41  # Failure: Out of unprocessed clauses!
% 0.23/1.41  # OLD status GaveUp
% 0.23/1.41  # Parsed axioms                        : 5
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 3
% 0.23/1.41  # Initial clauses                      : 3
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 3
% 0.23/1.41  # Processed clauses                    : 4
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 4
% 0.23/1.41  # Other redundant clauses eliminated   : 1
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 1
% 0.23/1.41  # ...of the previous two non-trivial   : 1
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 0
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 1
% 0.23/1.41  # Current number of processed clauses  : 3
% 0.23/1.41  #    Positive orientable unit clauses  : 1
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 1
% 0.23/1.41  # Current number of unprocessed clauses: 0
% 0.23/1.41  # ...number of literals in the above   : 0
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 0
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 0
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 0
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 0
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 2
% 0.23/1.41  # BW rewrite match successes           : 0
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 166
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.011 s
% 0.23/1.41  # System time              : 0.002 s
% 0.23/1.41  # Total time               : 0.013 s
% 0.23/1.41  # Maximum resident set size: 2772 pages
% 0.23/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.014 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 23
% 0.23/1.41  # Proof object clause steps            : 13
% 0.23/1.41  # Proof object formula steps           : 10
% 0.23/1.41  # Proof object conjectures             : 5
% 0.23/1.41  # Proof object clause conjectures      : 2
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 7
% 0.23/1.41  # Proof object initial formulas used   : 5
% 0.23/1.41  # Proof object generating inferences   : 4
% 0.23/1.41  # Proof object simplifying inferences  : 4
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 5
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 14
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 14
% 0.23/1.41  # Processed clauses                    : 22
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 22
% 0.23/1.41  # Other redundant clauses eliminated   : 1
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 2
% 0.23/1.41  # Backward-rewritten                   : 3
% 0.23/1.41  # Generated clauses                    : 16
% 0.23/1.41  # ...of the previous two non-trivial   : 13
% 0.23/1.41  # Contextual simplify-reflections      : 1
% 0.23/1.41  # Paramodulations                      : 15
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 1
% 0.23/1.41  # Current number of processed clauses  : 16
% 0.23/1.41  #    Positive orientable unit clauses  : 5
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 0
% 0.23/1.41  #    Non-unit-clauses                  : 11
% 0.23/1.41  # Current number of unprocessed clauses: 4
% 0.23/1.41  # ...number of literals in the above   : 12
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 5
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 24
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 19
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 3
% 0.23/1.41  # Unit Clause-clause subsumption calls : 11
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 4
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 900
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.015 s
% 0.23/1.41  # System time              : 0.000 s
% 0.23/1.41  # Total time               : 0.015 s
% 0.23/1.41  # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------