TSTP Solution File: SWB043+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB043+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 18:59:25 EDT 2022

% Result   : Theorem 227.64s 30.33s
% Output   : CNFRefutation 227.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :   25 (   3 avg)
%            Number of connectives :  151 (  62   ~;  63   |;  19   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   64 (   6 sgn  30   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_chain_001,axiom,
    ! [X2,X12,X33] :
      ( ( iext(uri_rdf_first,X12,X33)
        & iext(uri_rdf_rest,X12,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X2,X12)
      <=> ( ip(X2)
          & ip(X33)
          & ! [X36,X27] :
              ( iext(X33,X36,X27)
             => iext(X2,X36,X27) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_chain_001) ).

fof(premise_rdfbased_sem_chain_subprop,axiom,
    ? [X42] :
      ( iext(uri_owl_propertyChainAxiom,uri_ex_p,X42)
      & iext(uri_rdf_first,X42,uri_ex_p1)
      & iext(uri_rdf_rest,X42,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_chain_subprop) ).

fof(owl_prop_propertychainaxiom_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_propertyChainAxiom,X4,X7)
     => ( ip(X4)
        & icext(uri_rdf_List,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_propertychainaxiom_ext) ).

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(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(conclusion_rdfbased_sem_chain_subprop,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_chain_subprop) ).

fof(c_0_6,plain,
    ! [X982,X983,X984,X985,X986] :
      ( ( ip(X982)
        | ~ iext(uri_owl_propertyChainAxiom,X982,X983)
        | ~ iext(uri_rdf_first,X983,X984)
        | ~ iext(uri_rdf_rest,X983,uri_rdf_nil) )
      & ( ip(X984)
        | ~ iext(uri_owl_propertyChainAxiom,X982,X983)
        | ~ iext(uri_rdf_first,X983,X984)
        | ~ iext(uri_rdf_rest,X983,uri_rdf_nil) )
      & ( ~ iext(X984,X985,X986)
        | iext(X982,X985,X986)
        | ~ iext(uri_owl_propertyChainAxiom,X982,X983)
        | ~ iext(uri_rdf_first,X983,X984)
        | ~ iext(uri_rdf_rest,X983,uri_rdf_nil) )
      & ( iext(X984,esk150_3(X982,X983,X984),esk151_3(X982,X983,X984))
        | ~ ip(X982)
        | ~ ip(X984)
        | iext(uri_owl_propertyChainAxiom,X982,X983)
        | ~ iext(uri_rdf_first,X983,X984)
        | ~ iext(uri_rdf_rest,X983,uri_rdf_nil) )
      & ( ~ iext(X982,esk150_3(X982,X983,X984),esk151_3(X982,X983,X984))
        | ~ ip(X982)
        | ~ ip(X984)
        | iext(uri_owl_propertyChainAxiom,X982,X983)
        | ~ iext(uri_rdf_first,X983,X984)
        | ~ iext(uri_rdf_rest,X983,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_001])])])])]) ).

fof(c_0_7,plain,
    ( iext(uri_owl_propertyChainAxiom,uri_ex_p,esk192_0)
    & iext(uri_rdf_first,esk192_0,uri_ex_p1)
    & iext(uri_rdf_rest,esk192_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_chain_subprop])]) ).

cnf(c_0_8,plain,
    ( iext(X4,X2,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X4,X5)
    | ~ iext(uri_rdf_first,X5,X1)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    iext(uri_rdf_rest,esk192_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X223,X224] :
      ( ( ip(X223)
        | ~ iext(uri_owl_propertyChainAxiom,X223,X224) )
      & ( icext(uri_rdf_List,X224)
        | ~ iext(uri_owl_propertyChainAxiom,X223,X224) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_propertychainaxiom_ext])])]) ).

cnf(c_0_11,plain,
    ( ip(X1)
    | ~ iext(uri_owl_propertyChainAxiom,X2,X3)
    | ~ iext(uri_rdf_first,X3,X1)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_12,plain,
    ! [X774,X775,X776,X777,X778,X779] :
      ( ( ip(X774)
        | ~ iext(uri_rdfs_subPropertyOf,X774,X775) )
      & ( ip(X775)
        | ~ iext(uri_rdfs_subPropertyOf,X774,X775) )
      & ( ~ iext(X774,X776,X777)
        | iext(X775,X776,X777)
        | ~ iext(uri_rdfs_subPropertyOf,X774,X775) )
      & ( iext(X778,esk110_2(X778,X779),esk111_2(X778,X779))
        | ~ ip(X778)
        | ~ ip(X779)
        | iext(uri_rdfs_subPropertyOf,X778,X779) )
      & ( ~ iext(X779,esk110_2(X778,X779),esk111_2(X778,X779))
        | ~ ip(X778)
        | ~ ip(X779)
        | iext(uri_rdfs_subPropertyOf,X778,X779) ) ),
    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_subpropertyof])])])])])]) ).

fof(c_0_13,plain,
    ! [X43,X44,X45] :
      ( ~ iext(X44,X43,X45)
      | ip(X44) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).

cnf(c_0_14,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk192_0,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk192_0)
    | ~ iext(X4,X2,X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_first,esk192_0,uri_ex_p1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( ip(X1)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_p,esk192_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,plain,
    ( ip(X1)
    | ~ iext(uri_rdf_first,esk192_0,X1)
    | ~ iext(uri_owl_propertyChainAxiom,X2,esk192_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_9]) ).

fof(c_0_19,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_chain_subprop]) ).

cnf(c_0_20,plain,
    ( iext(uri_rdfs_subPropertyOf,X2,X1)
    | ~ iext(X1,esk110_2(X2,X1),esk111_2(X2,X1))
    | ~ ip(X2)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk192_0)
    | ~ iext(uri_ex_p1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_23,plain,
    ( iext(X1,esk110_2(X1,X2),esk111_2(X1,X2))
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X1)
    | ~ ip(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,plain,
    ( ip(uri_ex_p1)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk192_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_15]) ).

fof(c_0_26,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X1)
    | ~ iext(X2,esk110_2(X1,X2),esk111_2(X1,X2)) ),
    inference(csr,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,plain,
    ( iext(uri_ex_p,X1,X2)
    | ~ iext(uri_ex_p1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_17]) ).

cnf(c_0_29,plain,
    ( iext(X1,esk110_2(X1,uri_ex_p),esk111_2(X1,uri_ex_p))
    | iext(uri_rdfs_subPropertyOf,X1,uri_ex_p)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    ip(uri_ex_p1),
    inference(spm,[status(thm)],[c_0_25,c_0_17]) ).

cnf(c_0_31,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_ex_p)
    | ~ ip(X1)
    | ~ iext(uri_ex_p1,esk110_2(X1,uri_ex_p),esk111_2(X1,uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,plain,
    iext(uri_ex_p1,esk110_2(uri_ex_p1,uri_ex_p),esk111_2(uri_ex_p1,uri_ex_p)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_30])]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB043+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun  1 07:49:53 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 227.64/30.33  # ENIGMATIC: Solved by autoschedule:
% 227.64/30.33  # No SInE strategy applied
% 227.64/30.33  # Trying AutoSched0 for 150 seconds
% 227.64/30.33  # AutoSched0-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 227.64/30.33  # and selection function SelectComplexExceptUniqMaxHorn.
% 227.64/30.33  #
% 227.64/30.33  # Preprocessing time       : 0.089 s
% 227.64/30.33  # Presaturation interreduction done
% 227.64/30.33  
% 227.64/30.33  # Proof found!
% 227.64/30.33  # SZS status Theorem
% 227.64/30.33  # SZS output start CNFRefutation
% See solution above
% 227.64/30.33  # Training examples: 0 positive, 0 negative
% 227.64/30.33  
% 227.64/30.33  # -------------------------------------------------
% 227.64/30.33  # User time                : 26.859 s
% 227.64/30.33  # System time              : 0.725 s
% 227.64/30.33  # Total time               : 27.584 s
% 227.64/30.33  # Maximum resident set size: 7116 pages
% 227.64/30.33  
%------------------------------------------------------------------------------