TSTP Solution File: SWB075+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB075+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 19:02:13 EDT 2022

% Result   : Theorem 0.28s 1.47s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :  104 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  111 (  45   ~;  46   |;  12   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   61 (  11 sgn  35   !;   0   ?)

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

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

fof(owl_parts_iodp_cond_inst,axiom,
    ! [X4] :
      ( iodp(X4)
     => ! [X7,X11] :
          ( iext(X4,X7,X11)
         => ( ir(X7)
            & lv(X11) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_inst) ).

fof(owl_rdfsext_subpropertyof,axiom,
    ! [X33,X34] :
      ( iext(uri_rdfs_subPropertyOf,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_rdfsext_subpropertyof) ).

fof(owl_parts_iodp_cond_set,axiom,
    ! [X4] :
      ( iodp(X4)
     => ip(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_set) ).

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_prop_topdataproperty_type,axiom,
    iodp(uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_type) ).

fof(owl_parts_iodp_def,axiom,
    ! [X4] :
      ( iodp(X4)
    <=> iext(uri_rdf_type,X4,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_def) ).

fof(conclusion_rdfbased_sem_prop_topdataproperty_term,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conclusion_rdfbased_sem_prop_topdataproperty_term) ).

fof(premise_rdfbased_sem_prop_topdataproperty_term,axiom,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_rdfbased_sem_prop_topdataproperty_term) ).

fof(c_0_10,plain,
    ! [X8,X9,X8,X9] :
      ( ( ir(X8)
        | ~ iext(uri_owl_topDataProperty,X8,X9) )
      & ( lv(X9)
        | ~ iext(uri_owl_topDataProperty,X8,X9) )
      & ( ~ ir(X8)
        | ~ lv(X9)
        | iext(uri_owl_topDataProperty,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_topdataproperty_ext])])])])]) ).

fof(c_0_11,plain,
    ! [X5] : ir(X5),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_12,plain,
    ! [X12,X13,X14] :
      ( ( ir(X13)
        | ~ iext(X12,X13,X14)
        | ~ iodp(X12) )
      & ( lv(X14)
        | ~ iext(X12,X13,X14)
        | ~ iodp(X12) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_inst])])])])])]) ).

fof(c_0_13,plain,
    ! [X35,X36,X37,X38,X35,X36] :
      ( ( ip(X35)
        | ~ iext(uri_rdfs_subPropertyOf,X35,X36) )
      & ( ip(X36)
        | ~ iext(uri_rdfs_subPropertyOf,X35,X36) )
      & ( ~ iext(X35,X37,X38)
        | iext(X36,X37,X38)
        | ~ iext(uri_rdfs_subPropertyOf,X35,X36) )
      & ( iext(X35,esk1_2(X35,X36),esk2_2(X35,X36))
        | ~ ip(X35)
        | ~ ip(X36)
        | iext(uri_rdfs_subPropertyOf,X35,X36) )
      & ( ~ iext(X36,esk1_2(X35,X36),esk2_2(X35,X36))
        | ~ ip(X35)
        | ~ ip(X36)
        | iext(uri_rdfs_subPropertyOf,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_rdfsext_subpropertyof])])])])])])]) ).

fof(c_0_14,plain,
    ! [X5] :
      ( ~ iodp(X5)
      | ip(X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_set])]) ).

fof(c_0_15,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])])])]) ).

cnf(c_0_16,plain,
    ( iext(uri_owl_topDataProperty,X1,X2)
    | ~ lv(X2)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( lv(X3)
    | ~ iodp(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | iext(X1,esk1_2(X1,X2),esk2_2(X1,X2))
    | ~ ip(X2)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( ip(X1)
    | ~ iodp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X2)
    | ~ ip(X1)
    | ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( iext(uri_owl_topDataProperty,X1,X2)
    | ~ lv(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_24,plain,
    ( lv(esk2_2(X1,X2))
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ iodp(X1)
    | ~ ip(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_25,plain,
    iodp(uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[owl_prop_topdataproperty_type]) ).

cnf(c_0_26,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X1)
    | ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2)) ),
    inference(csr,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    ( iext(uri_owl_topDataProperty,X1,esk2_2(X2,X3))
    | iext(uri_rdfs_subPropertyOf,X2,X3)
    | ~ iodp(X2)
    | ~ ip(X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    ip(uri_owl_topDataProperty),
    inference(spm,[status(thm)],[c_0_20,c_0_25]) ).

fof(c_0_29,plain,
    ! [X5,X5] :
      ( ( ~ iodp(X5)
        | iext(uri_rdf_type,X5,uri_owl_DatatypeProperty) )
      & ( ~ iext(uri_rdf_type,X5,uri_owl_DatatypeProperty)
        | iodp(X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_def])])])]) ).

fof(c_0_30,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_prop_topdataproperty_term]) ).

cnf(c_0_31,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ iodp(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_20]) ).

cnf(c_0_32,plain,
    ( iodp(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_33,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_prop_topdataproperty_term]) ).

cnf(c_0_36,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWB075+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 03:23:56 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.28/1.47  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.47  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.47  # Preprocessing time       : 0.028 s
% 0.28/1.47  
% 0.28/1.47  # Proof found!
% 0.28/1.47  # SZS status Theorem
% 0.28/1.47  # SZS output start CNFRefutation
% See solution above
% 0.28/1.47  # Proof object total steps             : 38
% 0.28/1.47  # Proof object clause steps            : 19
% 0.28/1.47  # Proof object formula steps           : 19
% 0.28/1.47  # Proof object conjectures             : 4
% 0.28/1.47  # Proof object clause conjectures      : 1
% 0.28/1.47  # Proof object formula conjectures     : 3
% 0.28/1.47  # Proof object initial clauses used    : 11
% 0.28/1.47  # Proof object initial formulas used   : 10
% 0.28/1.47  # Proof object generating inferences   : 6
% 0.28/1.47  # Proof object simplifying inferences  : 8
% 0.28/1.47  # Training examples: 0 positive, 0 negative
% 0.28/1.47  # Parsed axioms                        : 560
% 0.28/1.47  # Removed by relevancy pruning/SinE    : 511
% 0.28/1.47  # Initial clauses                      : 76
% 0.28/1.47  # Removed in clause preprocessing      : 14
% 0.28/1.47  # Initial clauses in saturation        : 62
% 0.28/1.47  # Processed clauses                    : 394
% 0.28/1.47  # ...of these trivial                  : 50
% 0.28/1.47  # ...subsumed                          : 81
% 0.28/1.47  # ...remaining for further processing  : 263
% 0.28/1.47  # Other redundant clauses eliminated   : 0
% 0.28/1.47  # Clauses deleted for lack of memory   : 0
% 0.28/1.47  # Backward-subsumed                    : 0
% 0.28/1.47  # Backward-rewritten                   : 0
% 0.28/1.47  # Generated clauses                    : 703
% 0.28/1.47  # ...of the previous two non-trivial   : 467
% 0.28/1.47  # Contextual simplify-reflections      : 10
% 0.28/1.47  # Paramodulations                      : 703
% 0.28/1.47  # Factorizations                       : 0
% 0.28/1.47  # Equation resolutions                 : 0
% 0.28/1.47  # Current number of processed clauses  : 263
% 0.28/1.47  #    Positive orientable unit clauses  : 76
% 0.28/1.47  #    Positive unorientable unit clauses: 0
% 0.28/1.47  #    Negative unit clauses             : 1
% 0.28/1.47  #    Non-unit-clauses                  : 186
% 0.28/1.47  # Current number of unprocessed clauses: 135
% 0.28/1.47  # ...number of literals in the above   : 503
% 0.28/1.47  # Current number of archived formulas  : 0
% 0.28/1.47  # Current number of archived clauses   : 1
% 0.28/1.47  # Clause-clause subsumption calls (NU) : 2788
% 0.28/1.47  # Rec. Clause-clause subsumption calls : 1921
% 0.28/1.47  # Non-unit clause-clause subsumptions  : 91
% 0.28/1.47  # Unit Clause-clause subsumption calls : 43
% 0.28/1.47  # Rewrite failures with RHS unbound    : 0
% 0.28/1.47  # BW rewrite match attempts            : 13
% 0.28/1.47  # BW rewrite match successes           : 0
% 0.28/1.47  # Condensation attempts                : 0
% 0.28/1.47  # Condensation successes               : 0
% 0.28/1.47  # Termbank termtop insertions          : 17288
% 0.28/1.47  
% 0.28/1.47  # -------------------------------------------------
% 0.28/1.47  # User time                : 0.041 s
% 0.28/1.47  # System time              : 0.005 s
% 0.28/1.47  # Total time               : 0.046 s
% 0.28/1.47  # Maximum resident set size: 4544 pages
%------------------------------------------------------------------------------