TSTP Solution File: SWB065+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB065+1 : 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 19:02:12 EDT 2022

% Result   : Theorem 0.24s 1.43s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   84 (  15 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :   98 (  40   ~;  39   |;  14   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   40 (   5 sgn  21   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
    ! [X11,X12,X21] :
      ( ( iext(uri_rdf_first,X12,X21)
        & iext(uri_rdf_rest,X12,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X11,X12)
      <=> ( ic(X11)
          & ! [X4] :
              ( icext(X11,X4)
            <=> X4 = X21 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(premise_rdfbased_sem_eqdis_sameas_ext,axiom,
    ? [X42,X37] :
      ( iext(uri_rdf_first,X42,uri_ex_u)
      & iext(uri_rdf_rest,X42,uri_rdf_nil)
      & iext(uri_owl_oneOf,X37,X42)
      & iext(uri_rdf_type,uri_ex_w,X37) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_rdfbased_sem_eqdis_sameas_ext) ).

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

fof(conclusion_rdfbased_sem_eqdis_sameas_ext,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

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

fof(c_0_5,plain,
    ! [X22,X23,X24,X25,X25] :
      ( ( ic(X22)
        | ~ iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( ~ icext(X22,X25)
        | X25 = X24
        | ~ iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( X25 != X24
        | icext(X22,X25)
        | ~ iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( ~ icext(X22,esk4_3(X22,X23,X24))
        | esk4_3(X22,X23,X24) != X24
        | ~ ic(X22)
        | iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( icext(X22,esk4_3(X22,X23,X24))
        | esk4_3(X22,X23,X24) = X24
        | ~ ic(X22)
        | iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,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_enum_class_001])])])])])])]) ).

fof(c_0_6,plain,
    ( iext(uri_rdf_first,esk1_0,uri_ex_u)
    & iext(uri_rdf_rest,esk1_0,uri_rdf_nil)
    & iext(uri_owl_oneOf,esk2_0,esk1_0)
    & iext(uri_rdf_type,uri_ex_w,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_sameas_ext])]) ).

cnf(c_0_7,plain,
    ( X4 = X2
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_owl_oneOf,X3,X1)
    | ~ icext(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    iext(uri_rdf_rest,esk1_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( X1 = X2
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk1_0,X1)
    | ~ iext(uri_owl_oneOf,X3,esk1_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_first,esk1_0,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,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])])])]) ).

cnf(c_0_12,plain,
    ( uri_ex_u = X1
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk1_0) ),
    inference(spm,[status(thm)],[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,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_sameas_ext]) ).

cnf(c_0_15,plain,
    ( uri_ex_u = X1
    | ~ iext(uri_owl_oneOf,X2,esk1_0)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    iext(uri_owl_oneOf,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_17,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_18,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( uri_ex_u = X1
    | ~ iext(uri_rdf_type,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    iext(uri_rdf_type,uri_ex_w,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    uri_ex_u = uri_ex_w,
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWB065+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  1 10:07:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.24/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.43  # Preprocessing time       : 0.033 s
% 0.24/1.43  
% 0.24/1.43  # Proof found!
% 0.24/1.43  # SZS status Theorem
% 0.24/1.43  # SZS output start CNFRefutation
% See solution above
% 0.24/1.43  # Proof object total steps             : 26
% 0.24/1.43  # Proof object clause steps            : 15
% 0.24/1.43  # Proof object formula steps           : 11
% 0.24/1.43  # Proof object conjectures             : 5
% 0.24/1.43  # Proof object clause conjectures      : 2
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 8
% 0.24/1.43  # Proof object initial formulas used   : 5
% 0.24/1.43  # Proof object generating inferences   : 5
% 0.24/1.43  # Proof object simplifying inferences  : 4
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 560
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 500
% 0.24/1.43  # Initial clauses                      : 109
% 0.24/1.43  # Removed in clause preprocessing      : 15
% 0.24/1.43  # Initial clauses in saturation        : 94
% 0.24/1.43  # Processed clauses                    : 327
% 0.24/1.43  # ...of these trivial                  : 27
% 0.24/1.43  # ...subsumed                          : 60
% 0.24/1.43  # ...remaining for further processing  : 240
% 0.24/1.43  # Other redundant clauses eliminated   : 11
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 1
% 0.24/1.43  # Backward-rewritten                   : 32
% 0.24/1.43  # Generated clauses                    : 562
% 0.24/1.43  # ...of the previous two non-trivial   : 385
% 0.24/1.43  # Contextual simplify-reflections      : 13
% 0.24/1.43  # Paramodulations                      : 551
% 0.24/1.43  # Factorizations                       : 0
% 0.24/1.43  # Equation resolutions                 : 11
% 0.24/1.43  # Current number of processed clauses  : 196
% 0.24/1.43  #    Positive orientable unit clauses  : 83
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 4
% 0.24/1.43  #    Non-unit-clauses                  : 109
% 0.24/1.43  # Current number of unprocessed clauses: 137
% 0.24/1.43  # ...number of literals in the above   : 686
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 34
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 4990
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 1689
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 58
% 0.24/1.43  # Unit Clause-clause subsumption calls : 252
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 14
% 0.24/1.43  # BW rewrite match successes           : 1
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 19947
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.049 s
% 0.24/1.43  # System time              : 0.004 s
% 0.24/1.43  # Total time               : 0.052 s
% 0.24/1.43  # Maximum resident set size: 4668 pages
% 0.24/23.46  eprover: CPU time limit exceeded, terminating
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
% 0.24/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52  eprover: No such file or directory
% 0.24/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52  eprover: No such file or directory
%------------------------------------------------------------------------------