TSTP Solution File: SWB023+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 19:02:03 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    :   32 (  10 unt;   0 def)
%            Number of atoms       :  107 (  17 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  125 (  50   ~;  48   |;  22   &)
%                                         (   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    :   14 (  14 usr;  13 con; 0-3 aty)
%            Number of variables   :   47 (   6 sgn  21   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
    ! [X3,X4,X5] :
      ( ( iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X4,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X3,X4)
      <=> ( ic(X3)
          & ! [X1] :
              ( icext(X3,X1)
            <=> X1 = X5 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_enum_class_001) ).

fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
    ? [X10,X11] :
      ( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
      & iext(uri_rdf_type,uri_ex_w,X10)
      & iext(uri_rdf_type,X10,uri_owl_Class)
      & iext(uri_owl_oneOf,X10,X11)
      & iext(uri_rdf_first,X11,uri_ex_u)
      & iext(uri_rdf_first,X11,uri_ex_v)
      & iext(uri_rdf_rest,X11,uri_rdf_nil) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_023_Unique_List_Components) ).

fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_023_Unique_List_Components) ).

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(owl_eqdis_sameas,axiom,
    ! [X1,X9] :
      ( iext(uri_owl_sameAs,X1,X9)
    <=> X1 = X9 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_eqdis_sameas) ).

fof(c_0_5,plain,
    ! [X6,X7,X8,X9,X9] :
      ( ( ic(X6)
        | ~ iext(uri_owl_oneOf,X6,X7)
        | ~ iext(uri_rdf_first,X7,X8)
        | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) )
      & ( ~ icext(X6,X9)
        | X9 = X8
        | ~ iext(uri_owl_oneOf,X6,X7)
        | ~ iext(uri_rdf_first,X7,X8)
        | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) )
      & ( X9 != X8
        | icext(X6,X9)
        | ~ iext(uri_owl_oneOf,X6,X7)
        | ~ iext(uri_rdf_first,X7,X8)
        | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) )
      & ( ~ icext(X6,esk1_3(X6,X7,X8))
        | esk1_3(X6,X7,X8) != X8
        | ~ ic(X6)
        | iext(uri_owl_oneOf,X6,X7)
        | ~ iext(uri_rdf_first,X7,X8)
        | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) )
      & ( icext(X6,esk1_3(X6,X7,X8))
        | esk1_3(X6,X7,X8) = X8
        | ~ ic(X6)
        | iext(uri_owl_oneOf,X6,X7)
        | ~ iext(uri_rdf_first,X7,X8)
        | ~ iext(uri_rdf_rest,X7,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_type,uri_rdf_first,uri_owl_FunctionalProperty)
    & iext(uri_rdf_type,uri_ex_w,esk5_0)
    & iext(uri_rdf_type,esk5_0,uri_owl_Class)
    & iext(uri_owl_oneOf,esk5_0,esk6_0)
    & iext(uri_rdf_first,esk6_0,uri_ex_u)
    & iext(uri_rdf_first,esk6_0,uri_ex_v)
    & iext(uri_rdf_rest,esk6_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_023_Unique_List_Components])]) ).

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

cnf(c_0_8,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_9,plain,
    iext(uri_rdf_first,esk6_0,uri_ex_v),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ iext(uri_owl_oneOf,X1,X3) ),
    inference(er,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    iext(uri_rdf_first,esk6_0,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_13,negated_conjecture,
    ~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
      & iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).

cnf(c_0_14,plain,
    ( uri_ex_v = X1
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk6_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_15,plain,
    ( icext(X1,uri_ex_u)
    | ~ iext(uri_owl_oneOf,X1,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10])]) ).

fof(c_0_16,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])])])]) ).

fof(c_0_17,negated_conjecture,
    ( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    | ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
    inference(fof_nnf,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( uri_ex_v = uri_ex_u
    | ~ iext(uri_owl_oneOf,X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    iext(uri_owl_oneOf,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ( uri_ex_u = X1
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_10])]) ).

cnf(c_0_21,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X10,X11,X10,X11] :
      ( ( ~ iext(uri_owl_sameAs,X10,X11)
        | X10 = X11 )
      & ( X10 != X11
        | iext(uri_owl_sameAs,X10,X11) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
    | ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    uri_ex_v = uri_ex_u,
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    ( uri_ex_u = X1
    | ~ iext(uri_owl_oneOf,X2,esk6_0)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,plain,
    iext(uri_rdf_type,uri_ex_w,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_27,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_29,plain,
    uri_ex_u = uri_ex_w,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19])]) ).

cnf(c_0_30,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 03:29:29 EDT 2022
% 0.13/0.35  % 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       : 0.013 s
% 0.24/1.43  
% 0.24/1.43  # Failure: Out of unprocessed clauses!
% 0.24/1.43  # OLD status GaveUp
% 0.24/1.43  # Parsed axioms                        : 6
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 4
% 0.24/1.43  # Initial clauses                      : 3
% 0.24/1.43  # Removed in clause preprocessing      : 0
% 0.24/1.43  # Initial clauses in saturation        : 3
% 0.24/1.43  # Processed clauses                    : 4
% 0.24/1.43  # ...of these trivial                  : 0
% 0.24/1.43  # ...subsumed                          : 0
% 0.24/1.43  # ...remaining for further processing  : 4
% 0.24/1.43  # Other redundant clauses eliminated   : 1
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 0
% 0.24/1.43  # Backward-rewritten                   : 0
% 0.24/1.43  # Generated clauses                    : 1
% 0.24/1.43  # ...of the previous two non-trivial   : 1
% 0.24/1.43  # Contextual simplify-reflections      : 0
% 0.24/1.43  # Paramodulations                      : 0
% 0.24/1.43  # Factorizations                       : 0
% 0.24/1.43  # Equation resolutions                 : 1
% 0.24/1.43  # Current number of processed clauses  : 3
% 0.24/1.43  #    Positive orientable unit clauses  : 1
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 0
% 0.24/1.43  #    Non-unit-clauses                  : 2
% 0.24/1.43  # Current number of unprocessed clauses: 0
% 0.24/1.43  # ...number of literals in the above   : 0
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 0
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 0
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 0
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.43  # Unit Clause-clause subsumption calls : 0
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 3
% 0.24/1.43  # BW rewrite match successes           : 0
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 230
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.011 s
% 0.24/1.43  # System time              : 0.002 s
% 0.24/1.43  # Total time               : 0.013 s
% 0.24/1.43  # Maximum resident set size: 2780 pages
% 0.24/1.43  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.43  # Preprocessing time       : 0.016 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             : 32
% 0.24/1.43  # Proof object clause steps            : 21
% 0.24/1.43  # Proof object formula steps           : 11
% 0.24/1.43  # Proof object conjectures             : 6
% 0.24/1.43  # Proof object clause conjectures      : 3
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 10
% 0.24/1.43  # Proof object initial formulas used   : 5
% 0.24/1.43  # Proof object generating inferences   : 7
% 0.24/1.43  # Proof object simplifying inferences  : 15
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 6
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.43  # Initial clauses                      : 22
% 0.24/1.43  # Removed in clause preprocessing      : 0
% 0.24/1.43  # Initial clauses in saturation        : 22
% 0.24/1.43  # Processed clauses                    : 48
% 0.24/1.43  # ...of these trivial                  : 0
% 0.24/1.43  # ...subsumed                          : 4
% 0.24/1.43  # ...remaining for further processing  : 44
% 0.24/1.43  # Other redundant clauses eliminated   : 2
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 2
% 0.24/1.43  # Backward-rewritten                   : 14
% 0.24/1.43  # Generated clauses                    : 51
% 0.24/1.43  # ...of the previous two non-trivial   : 55
% 0.24/1.43  # Contextual simplify-reflections      : 1
% 0.24/1.43  # Paramodulations                      : 49
% 0.24/1.43  # Factorizations                       : 0
% 0.24/1.43  # Equation resolutions                 : 2
% 0.24/1.43  # Current number of processed clauses  : 26
% 0.24/1.43  #    Positive orientable unit clauses  : 7
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 0
% 0.24/1.43  #    Non-unit-clauses                  : 19
% 0.24/1.43  # Current number of unprocessed clauses: 16
% 0.24/1.43  # ...number of literals in the above   : 77
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 16
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 316
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 59
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 7
% 0.24/1.43  # Unit Clause-clause subsumption calls : 40
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 6
% 0.24/1.43  # BW rewrite match successes           : 2
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 2185
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.013 s
% 0.24/1.43  # System time              : 0.006 s
% 0.24/1.43  # Total time               : 0.019 s
% 0.24/1.43  # Maximum resident set size: 2868 pages
%------------------------------------------------------------------------------