TSTP Solution File: SWB086+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB086+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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 18:59:30 EDT 2022

% Result   : Theorem 15.16s 3.67s
% Output   : CNFRefutation 15.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  15 unt;   0 def)
%            Number of atoms       :  120 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  130 (  52   ~;  52   |;  18   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   61 (   3 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_restrict_hasself,axiom,
    ! [X11,X2,X31] :
      ( ( iext(uri_owl_hasSelf,X11,X31)
        & iext(uri_owl_onProperty,X11,X2) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> iext(X2,X4,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_hasself) ).

fof(premise_rdfbased_sem_restrict_hasself_cmp_prop,axiom,
    ( iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2)
    & iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1)
    & iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_hasself_cmp_prop) ).

fof(rdfs_subpropertyof_main,axiom,
    ! [X2,X9] :
      ( iext(uri_rdfs_subPropertyOf,X2,X9)
     => ( ip(X2)
        & ip(X9)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => iext(X9,X4,X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_subpropertyof_main) ).

fof(owl_prop_hasself_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_hasSelf,X4,X7)
     => ( icext(uri_owl_Restriction,X4)
        & ir(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_hasself_ext) ).

fof(owl_class_restriction_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Restriction,X4)
     => ic(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_restriction_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/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(conclusion_rdfbased_sem_restrict_hasself_cmp_prop,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_hasself_cmp_prop) ).

fof(c_0_7,plain,
    ! [X531,X532,X533,X534] :
      ( ( ~ icext(X531,X534)
        | iext(X532,X534,X534)
        | ~ iext(uri_owl_hasSelf,X531,X533)
        | ~ iext(uri_owl_onProperty,X531,X532) )
      & ( ~ iext(X532,X534,X534)
        | icext(X531,X534)
        | ~ iext(uri_owl_hasSelf,X531,X533)
        | ~ iext(uri_owl_onProperty,X531,X532) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasself])])])]) ).

cnf(c_0_8,plain,
    ( icext(X3,X2)
    | ~ iext(X1,X2,X2)
    | ~ iext(uri_owl_hasSelf,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_9,plain,
    iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

fof(c_0_10,plain,
    ! [X71,X72,X73,X74] :
      ( ( ip(X71)
        | ~ iext(uri_rdfs_subPropertyOf,X71,X72) )
      & ( ip(X72)
        | ~ iext(uri_rdfs_subPropertyOf,X71,X72) )
      & ( ~ iext(X71,X73,X74)
        | iext(X72,X73,X74)
        | ~ iext(uri_rdfs_subPropertyOf,X71,X72) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main])])])]) ).

fof(c_0_11,plain,
    ! [X184,X185] :
      ( ( icext(uri_owl_Restriction,X184)
        | ~ iext(uri_owl_hasSelf,X184,X185) )
      & ( ir(X185)
        | ~ iext(uri_owl_hasSelf,X184,X185) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_hasself_ext])])]) ).

cnf(c_0_12,plain,
    ( icext(uri_ex_x2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X2)
    | ~ iext(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_14,plain,
    ( iext(X4,X2,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_16,plain,
    ( iext(X3,X2,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_hasSelf,X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,plain,
    iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

fof(c_0_18,plain,
    ! [X140] :
      ( ~ icext(uri_owl_Restriction,X140)
      | ic(X140) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])]) ).

cnf(c_0_19,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_hasSelf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( icext(uri_ex_x2,X1)
    | ~ iext(uri_ex_p2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_21,plain,
    ( iext(uri_ex_p2,X1,X2)
    | ~ iext(uri_ex_p1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,plain,
    ( iext(X1,X2,X2)
    | ~ icext(uri_ex_x1,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_x1,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

fof(c_0_24,plain,
    ! [X767,X768,X769,X770,X771] :
      ( ( ic(X767)
        | ~ iext(uri_rdfs_subClassOf,X767,X768) )
      & ( ic(X768)
        | ~ iext(uri_rdfs_subClassOf,X767,X768) )
      & ( ~ icext(X767,X769)
        | icext(X768,X769)
        | ~ iext(uri_rdfs_subClassOf,X767,X768) )
      & ( icext(X770,esk109_2(X770,X771))
        | ~ ic(X770)
        | ~ ic(X771)
        | iext(uri_rdfs_subClassOf,X770,X771) )
      & ( ~ icext(X771,esk109_2(X770,X771))
        | ~ ic(X770)
        | ~ ic(X771)
        | iext(uri_rdfs_subClassOf,X770,X771) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])]) ).

cnf(c_0_25,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(spm,[status(thm)],[c_0_19,c_0_9]) ).

fof(c_0_27,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_28,plain,
    ( icext(uri_ex_x2,X1)
    | ~ iext(uri_ex_p1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,plain,
    ( iext(uri_ex_p1,X1,X1)
    | ~ icext(uri_ex_x1,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,plain,
    ( icext(X1,esk109_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    ic(uri_ex_x2),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

fof(c_0_33,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk109_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    ( icext(uri_ex_x2,X1)
    | ~ icext(uri_ex_x1,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,plain,
    ( icext(X1,esk109_2(X1,uri_ex_x2))
    | iext(uri_rdfs_subClassOf,X1,uri_ex_x2)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_37,plain,
    ic(uri_ex_x1),
    inference(spm,[status(thm)],[c_0_25,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_39,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_ex_x2)
    | ~ ic(X1)
    | ~ icext(uri_ex_x1,esk109_2(X1,uri_ex_x2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31])]) ).

cnf(c_0_40,plain,
    icext(uri_ex_x1,esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_41,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37])]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWB086+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n019.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 11:51:12 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.22/0.47  # ENIGMATIC: Selected SinE mode:
% 0.22/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.16/3.67  # ENIGMATIC: Solved by autoschedule:
% 15.16/3.67  # No SInE strategy applied
% 15.16/3.67  # Trying AutoSched0 for 150 seconds
% 15.16/3.67  # AutoSched0-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 15.16/3.67  # and selection function SelectComplexExceptUniqMaxHorn.
% 15.16/3.67  #
% 15.16/3.67  # Preprocessing time       : 0.072 s
% 15.16/3.67  # Presaturation interreduction done
% 15.16/3.67  
% 15.16/3.67  # Proof found!
% 15.16/3.67  # SZS status Theorem
% 15.16/3.67  # SZS output start CNFRefutation
% See solution above
% 15.16/3.67  # Training examples: 0 positive, 0 negative
% 15.16/3.67  
% 15.16/3.67  # -------------------------------------------------
% 15.16/3.67  # User time                : 0.828 s
% 15.16/3.67  # System time              : 0.039 s
% 15.16/3.67  # Total time               : 0.867 s
% 15.16/3.67  # Maximum resident set size: 7116 pages
% 15.16/3.67  
%------------------------------------------------------------------------------