TSTP Solution File: SWB049+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB049+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 19:02:09 EDT 2022

% Result   : Theorem 0.26s 1.44s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  13 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :   89 (  35   ~;  34   |;  14   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   55 (  16 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_prop_topobjectproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_topObjectProperty,X4,X7)
    <=> ( ir(X4)
        & ir(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_topobjectproperty_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(owl_char_reflexive,axiom,
    ! [X2] :
      ( icext(uri_owl_ReflexiveProperty,X2)
    <=> ( ip(X2)
        & ! [X4] : iext(X2,X4,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_reflexive) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(owl_eqdis_equivalentproperty,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_equivalentProperty,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ( iext(X33,X4,X7)
          <=> iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentproperty) ).

fof(premise_rdfbased_sem_char_reflexive_ext,axiom,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_rdfbased_sem_char_reflexive_ext) ).

fof(conclusion_rdfbased_sem_char_reflexive_ext,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conclusion_rdfbased_sem_char_reflexive_ext) ).

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(c_0_8,plain,
    ! [X8,X9,X8,X9] :
      ( ( ir(X8)
        | ~ iext(uri_owl_topObjectProperty,X8,X9) )
      & ( ir(X9)
        | ~ iext(uri_owl_topObjectProperty,X8,X9) )
      & ( ~ ir(X8)
        | ~ ir(X9)
        | iext(uri_owl_topObjectProperty,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_topobjectproperty_ext])])])])]) ).

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

fof(c_0_10,plain,
    ! [X5,X6,X5] :
      ( ( ip(X5)
        | ~ icext(uri_owl_ReflexiveProperty,X5) )
      & ( iext(X5,X6,X6)
        | ~ icext(uri_owl_ReflexiveProperty,X5) )
      & ( ~ ip(X5)
        | ~ iext(X5,esk1_1(X5),esk1_1(X5))
        | icext(uri_owl_ReflexiveProperty,X5) ) ),
    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_reflexive])])])])])])]) ).

fof(c_0_11,plain,
    ! [X4,X5,X6] :
      ( ~ iext(X5,X4,X6)
      | ip(X5) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])])])]) ).

fof(c_0_12,plain,
    ! [X35,X36,X37,X38,X37,X38,X35,X36] :
      ( ( ip(X35)
        | ~ iext(uri_owl_equivalentProperty,X35,X36) )
      & ( ip(X36)
        | ~ iext(uri_owl_equivalentProperty,X35,X36) )
      & ( ~ iext(X35,X37,X38)
        | iext(X36,X37,X38)
        | ~ iext(uri_owl_equivalentProperty,X35,X36) )
      & ( ~ iext(X36,X37,X38)
        | iext(X35,X37,X38)
        | ~ iext(uri_owl_equivalentProperty,X35,X36) )
      & ( ~ iext(X35,esk2_2(X35,X36),esk3_2(X35,X36))
        | ~ iext(X36,esk2_2(X35,X36),esk3_2(X35,X36))
        | ~ ip(X35)
        | ~ ip(X36)
        | iext(uri_owl_equivalentProperty,X35,X36) )
      & ( iext(X35,esk2_2(X35,X36),esk3_2(X35,X36))
        | iext(X36,esk2_2(X35,X36),esk3_2(X35,X36))
        | ~ ip(X35)
        | ~ ip(X36)
        | iext(uri_owl_equivalentProperty,X35,X36) ) ),
    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_eqdis_equivalentproperty])])])])])])]) ).

cnf(c_0_13,plain,
    ( iext(uri_owl_topObjectProperty,X1,X2)
    | ~ ir(X2)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( icext(uri_owl_ReflexiveProperty,X1)
    | ~ iext(X1,esk1_1(X1),esk1_1(X1))
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( iext(X1,X3,X4)
    | ~ iext(uri_owl_equivalentProperty,X1,X2)
    | ~ iext(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_reflexive_ext]) ).

cnf(c_0_19,plain,
    iext(uri_owl_topObjectProperty,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14])]) ).

fof(c_0_20,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_reflexive_ext]) ).

fof(c_0_21,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_22,plain,
    ( icext(uri_owl_ReflexiveProperty,X1)
    | ~ iext(X1,esk1_1(X1),esk1_1(X1)) ),
    inference(csr,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,plain,
    iext(uri_ex_p,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

fof(c_0_24,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    icext(uri_owl_ReflexiveProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB049+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12  % 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 05:30:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.26/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.44  # Preprocessing time       : 0.028 s
% 0.26/1.44  
% 0.26/1.44  # Proof found!
% 0.26/1.44  # SZS status Theorem
% 0.26/1.44  # SZS output start CNFRefutation
% See solution above
% 0.26/1.44  # Proof object total steps             : 29
% 0.26/1.44  # Proof object clause steps            : 13
% 0.26/1.44  # Proof object formula steps           : 16
% 0.26/1.44  # Proof object conjectures             : 4
% 0.26/1.44  # Proof object clause conjectures      : 1
% 0.26/1.44  # Proof object formula conjectures     : 3
% 0.26/1.44  # Proof object initial clauses used    : 8
% 0.26/1.44  # Proof object initial formulas used   : 8
% 0.26/1.44  # Proof object generating inferences   : 3
% 0.26/1.44  # Proof object simplifying inferences  : 7
% 0.26/1.44  # Training examples: 0 positive, 0 negative
% 0.26/1.44  # Parsed axioms                        : 560
% 0.26/1.44  # Removed by relevancy pruning/SinE    : 517
% 0.26/1.44  # Initial clauses                      : 69
% 0.26/1.44  # Removed in clause preprocessing      : 14
% 0.26/1.44  # Initial clauses in saturation        : 55
% 0.26/1.44  # Processed clauses                    : 88
% 0.26/1.44  # ...of these trivial                  : 14
% 0.26/1.44  # ...subsumed                          : 9
% 0.26/1.44  # ...remaining for further processing  : 65
% 0.26/1.44  # Other redundant clauses eliminated   : 0
% 0.26/1.44  # Clauses deleted for lack of memory   : 0
% 0.26/1.44  # Backward-subsumed                    : 0
% 0.26/1.44  # Backward-rewritten                   : 0
% 0.26/1.44  # Generated clauses                    : 100
% 0.26/1.44  # ...of the previous two non-trivial   : 75
% 0.26/1.44  # Contextual simplify-reflections      : 3
% 0.26/1.44  # Paramodulations                      : 100
% 0.26/1.44  # Factorizations                       : 0
% 0.26/1.44  # Equation resolutions                 : 0
% 0.26/1.44  # Current number of processed clauses  : 65
% 0.26/1.44  #    Positive orientable unit clauses  : 32
% 0.26/1.44  #    Positive unorientable unit clauses: 0
% 0.26/1.44  #    Negative unit clauses             : 1
% 0.26/1.44  #    Non-unit-clauses                  : 32
% 0.26/1.44  # Current number of unprocessed clauses: 42
% 0.26/1.44  # ...number of literals in the above   : 150
% 0.26/1.44  # Current number of archived formulas  : 0
% 0.26/1.44  # Current number of archived clauses   : 1
% 0.26/1.44  # Clause-clause subsumption calls (NU) : 169
% 0.26/1.44  # Rec. Clause-clause subsumption calls : 124
% 0.26/1.44  # Non-unit clause-clause subsumptions  : 12
% 0.26/1.44  # Unit Clause-clause subsumption calls : 20
% 0.26/1.44  # Rewrite failures with RHS unbound    : 0
% 0.26/1.44  # BW rewrite match attempts            : 5
% 0.26/1.44  # BW rewrite match successes           : 0
% 0.26/1.44  # Condensation attempts                : 0
% 0.26/1.44  # Condensation successes               : 0
% 0.26/1.44  # Termbank termtop insertions          : 10869
% 0.26/1.44  
% 0.26/1.44  # -------------------------------------------------
% 0.26/1.44  # User time                : 0.030 s
% 0.26/1.44  # System time              : 0.001 s
% 0.26/1.44  # Total time               : 0.031 s
% 0.26/1.44  # Maximum resident set size: 4000 pages
% 0.27/4.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.22  eprover: No such file or directory
% 0.27/4.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.22  eprover: No such file or directory
% 0.27/4.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.23  eprover: No such file or directory
% 0.27/4.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.24  eprover: No such file or directory
% 0.27/4.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.24  eprover: No such file or directory
% 0.27/4.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.25  eprover: No such file or directory
% 0.27/4.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.25  eprover: No such file or directory
% 0.27/4.26  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.26  eprover: No such file or directory
% 0.27/4.26  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.26  eprover: No such file or directory
% 0.27/4.27  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.27  eprover: No such file or directory
% 0.27/4.28  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.27/4.28  eprover: No such file or directory
%------------------------------------------------------------------------------