↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB053+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 19:02:10 EDT 2022

% Result   : Theorem 0.25s 1.44s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   60 (  26   ~;  22   |;   8   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   6 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_class_nothing_ext,axiom,
    ! [X4] : ~ icext(uri_owl_Nothing,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_ext) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(owl_class_classowl_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Class,X4)
    <=> ic(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_classowl_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(owl_class_nothing_type,axiom,
    ic(uri_owl_Nothing),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_type) ).

fof(conclusion_rdfbased_sem_class_nothing_term,conjecture,
    iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conclusion_rdfbased_sem_class_nothing_term) ).

fof(premise_rdfbased_sem_class_nothing_term,axiom,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_rdfbased_sem_class_nothing_term) ).

fof(c_0_7,plain,
    ! [X5] : ~ icext(uri_owl_Nothing,X5),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[owl_class_nothing_ext])]) ).

fof(c_0_8,plain,
    ! [X16,X17,X18,X16,X17] :
      ( ( ic(X16)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ic(X17)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ~ icext(X16,X18)
        | icext(X17,X18)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( icext(X16,esk1_2(X16,X17))
        | ~ ic(X16)
        | ~ ic(X17)
        | iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ~ icext(X17,esk1_2(X16,X17))
        | ~ ic(X16)
        | ~ ic(X17)
        | iext(uri_rdfs_subClassOf,X16,X17) ) ),
    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_rdfsext_subclassof])])])])])])]) ).

fof(c_0_9,plain,
    ! [X5,X5] :
      ( ( ~ icext(uri_owl_Class,X5)
        | ic(X5) )
      & ( ~ ic(X5)
        | icext(uri_owl_Class,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_classowl_ext])])])]) ).

fof(c_0_10,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_11,plain,
    ~ icext(uri_owl_Nothing,X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ic(uri_owl_Nothing),
    inference(split_conjunct,[status(thm)],[owl_class_nothing_type]) ).

cnf(c_0_14,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_class_nothing_term]) ).

cnf(c_0_17,plain,
    ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,X1)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_18,plain,
    ( ic(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_Class) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_19,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_Class) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_class_nothing_term]) ).

cnf(c_0_22,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB053+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.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 08:57:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.25/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44  # Preprocessing time       : 0.028 s
% 0.25/1.44  
% 0.25/1.44  # Proof found!
% 0.25/1.44  # SZS status Theorem
% 0.25/1.44  # SZS output start CNFRefutation
% See solution above
% 0.25/1.44  # Proof object total steps             : 24
% 0.25/1.44  # Proof object clause steps            : 11
% 0.25/1.44  # Proof object formula steps           : 13
% 0.25/1.44  # Proof object conjectures             : 4
% 0.25/1.44  # Proof object clause conjectures      : 1
% 0.25/1.44  # Proof object formula conjectures     : 3
% 0.25/1.44  # Proof object initial clauses used    : 7
% 0.25/1.44  # Proof object initial formulas used   : 7
% 0.25/1.44  # Proof object generating inferences   : 4
% 0.25/1.44  # Proof object simplifying inferences  : 3
% 0.25/1.44  # Training examples: 0 positive, 0 negative
% 0.25/1.44  # Parsed axioms                        : 560
% 0.25/1.44  # Removed by relevancy pruning/SinE    : 508
% 0.25/1.44  # Initial clauses                      : 78
% 0.25/1.44  # Removed in clause preprocessing      : 12
% 0.25/1.44  # Initial clauses in saturation        : 66
% 0.25/1.44  # Processed clauses                    : 153
% 0.25/1.44  # ...of these trivial                  : 29
% 0.25/1.44  # ...subsumed                          : 13
% 0.25/1.44  # ...remaining for further processing  : 111
% 0.25/1.44  # Other redundant clauses eliminated   : 0
% 0.25/1.44  # Clauses deleted for lack of memory   : 0
% 0.25/1.44  # Backward-subsumed                    : 0
% 0.25/1.44  # Backward-rewritten                   : 0
% 0.25/1.44  # Generated clauses                    : 271
% 0.25/1.44  # ...of the previous two non-trivial   : 157
% 0.25/1.44  # Contextual simplify-reflections      : 0
% 0.25/1.44  # Paramodulations                      : 271
% 0.25/1.44  # Factorizations                       : 0
% 0.25/1.44  # Equation resolutions                 : 0
% 0.25/1.44  # Current number of processed clauses  : 111
% 0.25/1.44  #    Positive orientable unit clauses  : 56
% 0.25/1.44  #    Positive unorientable unit clauses: 0
% 0.25/1.44  #    Negative unit clauses             : 3
% 0.25/1.44  #    Non-unit-clauses                  : 52
% 0.25/1.44  # Current number of unprocessed clauses: 70
% 0.25/1.44  # ...number of literals in the above   : 219
% 0.25/1.44  # Current number of archived formulas  : 0
% 0.25/1.44  # Current number of archived clauses   : 1
% 0.25/1.44  # Clause-clause subsumption calls (NU) : 275
% 0.25/1.44  # Rec. Clause-clause subsumption calls : 237
% 0.25/1.44  # Non-unit clause-clause subsumptions  : 13
% 0.25/1.44  # Unit Clause-clause subsumption calls : 63
% 0.25/1.44  # Rewrite failures with RHS unbound    : 0
% 0.25/1.44  # BW rewrite match attempts            : 28
% 0.25/1.44  # BW rewrite match successes           : 0
% 0.25/1.44  # Condensation attempts                : 0
% 0.25/1.44  # Condensation successes               : 0
% 0.25/1.44  # Termbank termtop insertions          : 12223
% 0.25/1.44  
% 0.25/1.44  # -------------------------------------------------
% 0.25/1.44  # User time                : 0.031 s
% 0.25/1.44  # System time              : 0.003 s
% 0.25/1.44  # Total time               : 0.034 s
% 0.25/1.44  # Maximum resident set size: 4000 pages
%------------------------------------------------------------------------------