TSTP Solution File: SWB054+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB054+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 0.28s 1.46s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  13 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   66 (  27   ~;  25   |;   9   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (   8 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_class_thing_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Thing,X4)
    <=> ir(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_thing_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

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_thing_type,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_thing_type) ).

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

fof(premise_rdfbased_sem_class_thing_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_thing_term) ).

fof(c_0_8,plain,
    ! [X5,X5] :
      ( ( ~ icext(uri_owl_Thing,X5)
        | ir(X5) )
      & ( ~ ir(X5)
        | icext(uri_owl_Thing,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])])])]) ).

fof(c_0_9,plain,
    ! [X5] : ir(X5),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_10,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])])])])])])]) ).

cnf(c_0_11,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,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_14,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_15,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_17,plain,
    ic(uri_owl_Thing),
    inference(split_conjunct,[status(thm)],[owl_class_thing_type]) ).

cnf(c_0_18,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_class_thing_term]) ).

cnf(c_0_21,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_Thing)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_22,plain,
    ( ic(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_Class) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_23,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_Thing)
    | ~ iext(uri_rdf_type,X1,uri_owl_Class) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_class_thing_term]) ).

cnf(c_0_26,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWB054+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n026.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 14:20:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.28/1.46  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.46  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.46  # Preprocessing time       : 0.030 s
% 0.28/1.46  
% 0.28/1.46  # Proof found!
% 0.28/1.46  # SZS status Theorem
% 0.28/1.46  # SZS output start CNFRefutation
% See solution above
% 0.28/1.46  # Proof object total steps             : 28
% 0.28/1.46  # Proof object clause steps            : 13
% 0.28/1.46  # Proof object formula steps           : 15
% 0.28/1.46  # Proof object conjectures             : 4
% 0.28/1.46  # Proof object clause conjectures      : 1
% 0.28/1.46  # Proof object formula conjectures     : 3
% 0.28/1.46  # Proof object initial clauses used    : 8
% 0.28/1.46  # Proof object initial formulas used   : 8
% 0.28/1.46  # Proof object generating inferences   : 4
% 0.28/1.46  # Proof object simplifying inferences  : 5
% 0.28/1.46  # Training examples: 0 positive, 0 negative
% 0.28/1.46  # Parsed axioms                        : 560
% 0.28/1.46  # Removed by relevancy pruning/SinE    : 506
% 0.28/1.46  # Initial clauses                      : 81
% 0.28/1.46  # Removed in clause preprocessing      : 13
% 0.28/1.46  # Initial clauses in saturation        : 68
% 0.28/1.46  # Processed clauses                    : 184
% 0.28/1.46  # ...of these trivial                  : 29
% 0.28/1.46  # ...subsumed                          : 20
% 0.28/1.46  # ...remaining for further processing  : 135
% 0.28/1.46  # Other redundant clauses eliminated   : 0
% 0.28/1.46  # Clauses deleted for lack of memory   : 0
% 0.28/1.46  # Backward-subsumed                    : 0
% 0.28/1.46  # Backward-rewritten                   : 0
% 0.28/1.46  # Generated clauses                    : 330
% 0.28/1.46  # ...of the previous two non-trivial   : 173
% 0.28/1.46  # Contextual simplify-reflections      : 0
% 0.28/1.46  # Paramodulations                      : 330
% 0.28/1.46  # Factorizations                       : 0
% 0.28/1.46  # Equation resolutions                 : 0
% 0.28/1.46  # Current number of processed clauses  : 135
% 0.28/1.46  #    Positive orientable unit clauses  : 71
% 0.28/1.46  #    Positive unorientable unit clauses: 0
% 0.28/1.46  #    Negative unit clauses             : 2
% 0.28/1.46  #    Non-unit-clauses                  : 62
% 0.28/1.46  # Current number of unprocessed clauses: 57
% 0.28/1.46  # ...number of literals in the above   : 188
% 0.28/1.46  # Current number of archived formulas  : 0
% 0.28/1.46  # Current number of archived clauses   : 1
% 0.28/1.46  # Clause-clause subsumption calls (NU) : 491
% 0.28/1.46  # Rec. Clause-clause subsumption calls : 448
% 0.28/1.46  # Non-unit clause-clause subsumptions  : 20
% 0.28/1.46  # Unit Clause-clause subsumption calls : 87
% 0.28/1.46  # Rewrite failures with RHS unbound    : 0
% 0.28/1.46  # BW rewrite match attempts            : 43
% 0.28/1.46  # BW rewrite match successes           : 0
% 0.28/1.46  # Condensation attempts                : 0
% 0.28/1.46  # Condensation successes               : 0
% 0.28/1.46  # Termbank termtop insertions          : 12804
% 0.28/1.46  
% 0.28/1.46  # -------------------------------------------------
% 0.28/1.46  # User time                : 0.031 s
% 0.28/1.46  # System time              : 0.006 s
% 0.28/1.46  # Total time               : 0.037 s
% 0.28/1.46  # Maximum resident set size: 4268 pages
%------------------------------------------------------------------------------