TSTP Solution File: SWB008+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB008+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.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 0.29s 3.46s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   57 (  10 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   56 (  21   ~;  20   |;  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   :   31 (   5 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(owl_char_inversefunctional,axiom,
    ! [X2] :
      ( icext(uri_owl_InverseFunctionalProperty,X2)
    <=> ( ip(X2)
        & ! [X37,X38,X7] :
            ( ( iext(X2,X37,X7)
              & iext(X2,X38,X7) )
           => X37 = X38 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).

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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(owl_eqdis_sameas,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_sameAs,X4,X7)
    <=> X4 = X7 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).

fof(c_0_5,plain,
    ! [X6,X7,X6,X7] :
      ( ( ~ iext(uri_rdf_type,X6,X7)
        | icext(X7,X6) )
      & ( ~ icext(X7,X6)
        | iext(uri_rdf_type,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])])]) ).

fof(c_0_6,plain,
    ! [X39,X40,X41,X42,X39] :
      ( ( ip(X39)
        | ~ icext(uri_owl_InverseFunctionalProperty,X39) )
      & ( ~ iext(X39,X40,X42)
        | ~ iext(X39,X41,X42)
        | X40 = X41
        | ~ icext(uri_owl_InverseFunctionalProperty,X39) )
      & ( iext(X39,esk166_1(X39),esk168_1(X39))
        | ~ ip(X39)
        | icext(uri_owl_InverseFunctionalProperty,X39) )
      & ( iext(X39,esk167_1(X39),esk168_1(X39))
        | ~ ip(X39)
        | icext(uri_owl_InverseFunctionalProperty,X39) )
      & ( esk166_1(X39) != esk167_1(X39)
        | ~ ip(X39)
        | icext(uri_owl_InverseFunctionalProperty,X39) ) ),
    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])])])])])])]) ).

cnf(c_0_7,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,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_9,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_10,plain,
    ( X2 = X3
    | ~ icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ iext(X1,X3,X4)
    | ~ iext(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,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]) ).

cnf(c_0_12,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_13,plain,
    ! [X8,X9,X8,X9] :
      ( ( ~ iext(uri_owl_sameAs,X8,X9)
        | X8 = X9 )
      & ( X8 != X9
        | iext(uri_owl_sameAs,X8,X9) ) ),
    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_14,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( X1 = uri_ex_robert
    | ~ iext(uri_foaf_mbox_sha1sum,X1,literal_plain(dat_str_xyz)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_16,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_17,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    uri_ex_robert = uri_ex_bob,
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB008+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 07:53:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.29/3.46  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.29/3.46  # Preprocessing time       : 0.088 s
% 0.29/3.46  
% 0.29/3.46  # Proof found!
% 0.29/3.46  # SZS status Theorem
% 0.29/3.46  # SZS output start CNFRefutation
% See solution above
% 0.29/3.46  # Proof object total steps             : 22
% 0.29/3.46  # Proof object clause steps            : 12
% 0.29/3.46  # Proof object formula steps           : 10
% 0.29/3.46  # Proof object conjectures             : 5
% 0.29/3.46  # Proof object clause conjectures      : 2
% 0.29/3.46  # Proof object formula conjectures     : 3
% 0.29/3.46  # Proof object initial clauses used    : 7
% 0.29/3.46  # Proof object initial formulas used   : 5
% 0.29/3.46  # Proof object generating inferences   : 3
% 0.29/3.46  # Proof object simplifying inferences  : 6
% 0.29/3.46  # Training examples: 0 positive, 0 negative
% 0.29/3.46  # Parsed axioms                        : 560
% 0.29/3.46  # Removed by relevancy pruning/SinE    : 0
% 0.29/3.46  # Initial clauses                      : 1271
% 0.29/3.46  # Removed in clause preprocessing      : 111
% 0.29/3.46  # Initial clauses in saturation        : 1160
% 0.29/3.46  # Processed clauses                    : 4870
% 0.29/3.46  # ...of these trivial                  : 189
% 0.29/3.46  # ...subsumed                          : 1281
% 0.29/3.46  # ...remaining for further processing  : 3400
% 0.29/3.46  # Other redundant clauses eliminated   : 28
% 0.29/3.46  # Clauses deleted for lack of memory   : 57483
% 0.29/3.46  # Backward-subsumed                    : 62
% 0.29/3.46  # Backward-rewritten                   : 119
% 0.29/3.46  # Generated clauses                    : 147704
% 0.29/3.46  # ...of the previous two non-trivial   : 145242
% 0.29/3.46  # Contextual simplify-reflections      : 246
% 0.29/3.46  # Paramodulations                      : 147654
% 0.29/3.46  # Factorizations                       : 12
% 0.29/3.46  # Equation resolutions                 : 28
% 0.29/3.46  # Current number of processed clauses  : 3199
% 0.29/3.46  #    Positive orientable unit clauses  : 391
% 0.29/3.46  #    Positive unorientable unit clauses: 0
% 0.29/3.46  #    Negative unit clauses             : 26
% 0.29/3.46  #    Non-unit-clauses                  : 2782
% 0.29/3.46  # Current number of unprocessed clauses: 77915
% 0.29/3.46  # ...number of literals in the above   : 436187
% 0.29/3.46  # Current number of archived formulas  : 0
% 0.29/3.46  # Current number of archived clauses   : 182
% 0.29/3.46  # Clause-clause subsumption calls (NU) : 1252408
% 0.29/3.46  # Rec. Clause-clause subsumption calls : 613153
% 0.29/3.46  # Non-unit clause-clause subsumptions  : 1194
% 0.29/3.46  # Unit Clause-clause subsumption calls : 38692
% 0.29/3.46  # Rewrite failures with RHS unbound    : 0
% 0.29/3.46  # BW rewrite match attempts            : 22
% 0.29/3.46  # BW rewrite match successes           : 8
% 0.29/3.46  # Condensation attempts                : 0
% 0.29/3.46  # Condensation successes               : 0
% 0.29/3.46  # Termbank termtop insertions          : 3375600
% 0.29/3.46  
% 0.29/3.46  # -------------------------------------------------
% 0.29/3.46  # User time                : 2.300 s
% 0.29/3.46  # System time              : 0.073 s
% 0.29/3.46  # Total time               : 2.373 s
% 0.29/3.46  # Maximum resident set size: 133384 pages
%------------------------------------------------------------------------------