TSTP Solution File: SWB032+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB032+2 : 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 19:02:07 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   47 (  12 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  134 (  57   ~;  53   |;  16   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   47 (   4 sgn  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_dat_dtype_relation_subtype_rational_real,axiom,
    ! [X1] :
      ( icext(uri_owl_rational,X1)
     => icext(uri_owl_real,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_relation_subtype_rational_real) ).

fof(owl_dat_dtype_relation_subtype_decimal_rational,axiom,
    ! [X1] :
      ( icext(uri_xsd_decimal,X1)
     => icext(uri_owl_rational,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,
    ! [X1] :
      ~ ( icext(uri_rdf_PlainLiteral,X1)
        & icext(uri_owl_real,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,
    ! [X1] :
      ( icext(uri_xsd_string,X1)
     => icext(uri_rdf_PlainLiteral,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_relation_subtype_string_plainliteral) ).

fof(owl_parts_idc_cond_set,axiom,
    ! [X1] :
      ( idc(X1)
     => ic(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_parts_idc_cond_set) ).

fof(owl_eqdis_disjointwith,axiom,
    ! [X2,X3] :
      ( iext(uri_owl_disjointWith,X2,X3)
    <=> ( ic(X2)
        & ic(X3)
        & ! [X1] :
            ~ ( icext(X2,X1)
              & icext(X3,X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_eqdis_disjointwith) ).

fof(owl_dat_dtype_string_type,axiom,
    idc(uri_xsd_string),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_string_type) ).

fof(testcase_conclusion_fullish_032_Datatype_Relationships,conjecture,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_032_Datatype_Relationships) ).

fof(owl_dat_dtype_decimal_type,axiom,
    idc(uri_xsd_decimal),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_decimal_type) ).

fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,
    ! [X1] :
      ( icext(uri_xsd_integer,X1)
     => icext(uri_xsd_decimal,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_relation_subtype_integer_decimal) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X2,X3] :
      ( iext(uri_rdfs_subClassOf,X2,X3)
    <=> ( ic(X2)
        & ic(X3)
        & ! [X1] :
            ( icext(X2,X1)
           => icext(X3,X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_rdfsext_subclassof) ).

fof(owl_dat_dtype_integer_type,axiom,
    idc(uri_xsd_integer),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owl_dat_dtype_integer_type) ).

fof(c_0_12,plain,
    ! [X2] :
      ( ~ icext(uri_owl_rational,X2)
      | icext(uri_owl_real,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_rational_real])]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_decimal,X2)
      | icext(uri_owl_rational,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_decimal_rational])]) ).

fof(c_0_14,plain,
    ! [X2] :
      ( ~ icext(uri_rdf_PlainLiteral,X2)
      | ~ icext(uri_owl_real,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_disjoint_plainliteral_real])]) ).

cnf(c_0_15,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_owl_rational,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( icext(uri_owl_rational,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( ~ icext(uri_owl_real,X1)
    | ~ icext(uri_rdf_PlainLiteral,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_string,X2)
      | icext(uri_rdf_PlainLiteral,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_string_plainliteral])]) ).

fof(c_0_20,plain,
    ! [X2] :
      ( ~ idc(X2)
      | ic(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_idc_cond_set])]) ).

cnf(c_0_21,plain,
    ( ~ icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    ( icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_23,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ic(X4)
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( ic(X5)
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( ~ icext(X4,X6)
        | ~ icext(X5,X6)
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( icext(X4,esk2_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_owl_disjointWith,X4,X5) )
      & ( icext(X5,esk2_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_owl_disjointWith,X4,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_eqdis_disjointwith])])])])])])]) ).

cnf(c_0_24,plain,
    ( ic(X1)
    | ~ idc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    idc(uri_xsd_string),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_string_type]) ).

fof(c_0_26,negated_conjecture,
    ~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
      & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_032_Datatype_Relationships]) ).

cnf(c_0_27,plain,
    ( ~ icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( iext(uri_owl_disjointWith,X1,X2)
    | icext(X2,esk2_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ic(uri_xsd_string),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    idc(uri_xsd_decimal),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_decimal_type]) ).

fof(c_0_31,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_integer,X2)
      | icext(uri_xsd_decimal,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_integer_decimal])]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ic(X4)
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ic(X5)
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ~ icext(X4,X6)
        | icext(X5,X6)
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( icext(X4,esk1_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ~ icext(X5,esk1_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_rdfs_subClassOf,X4,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_rdfsext_subclassof])])])])])])]) ).

cnf(c_0_33,plain,
    idc(uri_xsd_integer),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_integer_type]) ).

fof(c_0_34,negated_conjecture,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(fof_nnf,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    ( iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ ic(X1)
    | ~ icext(uri_xsd_decimal,esk2_2(X1,uri_xsd_string)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_36,plain,
    ( iext(uri_owl_disjointWith,X1,X2)
    | icext(X1,esk2_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_37,plain,
    ic(uri_xsd_decimal),
    inference(spm,[status(thm)],[c_0_24,c_0_30]) ).

cnf(c_0_38,plain,
    ( icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_integer,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ic(uri_xsd_integer),
    inference(spm,[status(thm)],[c_0_24,c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,plain,
    iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_29])]) ).

cnf(c_0_43,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | icext(uri_xsd_decimal,esk1_2(uri_xsd_integer,X1))
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_45,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).

cnf(c_0_46,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_37]),c_0_40])]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n026.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 06:13:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.015 s
% 0.23/1.41  
% 0.23/1.41  # Failure: Out of unprocessed clauses!
% 0.23/1.41  # OLD status GaveUp
% 0.23/1.41  # Parsed axioms                        : 12
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 4
% 0.23/1.41  # Initial clauses                      : 16
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 16
% 0.23/1.41  # Processed clauses                    : 24
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 1
% 0.23/1.41  # ...remaining for further processing  : 23
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 1
% 0.23/1.41  # Generated clauses                    : 12
% 0.23/1.41  # ...of the previous two non-trivial   : 8
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 12
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 22
% 0.23/1.41  #    Positive orientable unit clauses  : 7
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 14
% 0.23/1.41  # Current number of unprocessed clauses: 0
% 0.23/1.41  # ...number of literals in the above   : 0
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 1
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 14
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 12
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.23/1.41  # Unit Clause-clause subsumption calls : 11
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 1
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 1004
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.014 s
% 0.23/1.41  # System time              : 0.001 s
% 0.23/1.41  # Total time               : 0.015 s
% 0.23/1.41  # Maximum resident set size: 2776 pages
% 0.23/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.014 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 47
% 0.23/1.41  # Proof object clause steps            : 25
% 0.23/1.41  # Proof object formula steps           : 22
% 0.23/1.41  # Proof object conjectures             : 5
% 0.23/1.41  # Proof object clause conjectures      : 2
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 14
% 0.23/1.41  # Proof object initial formulas used   : 12
% 0.23/1.41  # Proof object generating inferences   : 10
% 0.23/1.41  # Proof object simplifying inferences  : 13
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 12
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 20
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 20
% 0.23/1.41  # Processed clauses                    : 45
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 4
% 0.23/1.41  # ...remaining for further processing  : 41
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 1
% 0.23/1.41  # Generated clauses                    : 52
% 0.23/1.41  # ...of the previous two non-trivial   : 38
% 0.23/1.41  # Contextual simplify-reflections      : 2
% 0.23/1.41  # Paramodulations                      : 52
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 40
% 0.23/1.41  #    Positive orientable unit clauses  : 8
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 31
% 0.23/1.41  # Current number of unprocessed clauses: 13
% 0.23/1.41  # ...number of literals in the above   : 52
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 1
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 148
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 125
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 6
% 0.23/1.41  # Unit Clause-clause subsumption calls : 10
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 2
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 1727
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.014 s
% 0.23/1.41  # System time              : 0.003 s
% 0.23/1.41  # Total time               : 0.017 s
% 0.23/1.41  # Maximum resident set size: 2780 pages
%------------------------------------------------------------------------------