TSTP Solution File: SWB032+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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  : 300s
% DateTime : Thu Aug 31 20:02:11 EDT 2023

% Result   : Theorem 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   61 (  12 unt;  14 typ;   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 types       :    2 (   0 usr)
%            Number of type conns  :   11 (   6   >;   5   *;   0   +;   0  <<)
%            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 (   0 sgn;  28   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    uri_xsd_string: $i ).

tff(decl_23,type,
    idc: $i > $o ).

tff(decl_24,type,
    uri_xsd_decimal: $i ).

tff(decl_25,type,
    uri_xsd_integer: $i ).

tff(decl_26,type,
    uri_rdf_PlainLiteral: $i ).

tff(decl_27,type,
    icext: ( $i * $i ) > $o ).

tff(decl_28,type,
    uri_owl_real: $i ).

tff(decl_29,type,
    uri_owl_rational: $i ).

tff(decl_30,type,
    ic: $i > $o ).

tff(decl_31,type,
    uri_rdfs_subClassOf: $i ).

tff(decl_32,type,
    iext: ( $i * $i * $i ) > $o ).

tff(decl_33,type,
    uri_owl_disjointWith: $i ).

tff(decl_34,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_35,type,
    esk2_2: ( $i * $i ) > $i ).

fof(owl_dat_dtype_relation_subtype_rational_real,axiom,
    ! [X1] :
      ( icext(uri_owl_rational,X1)
     => icext(uri_owl_real,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(owl_parts_idc_cond_set,axiom,
    ! [X1] :
      ( idc(X1)
     => ic(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,
    ! [X1] :
      ~ ( icext(uri_rdf_PlainLiteral,X1)
        & icext(uri_owl_real,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,
    ! [X1] :
      ( icext(uri_xsd_integer,X1)
     => icext(uri_xsd_decimal,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(owl_dat_dtype_integer_type,axiom,
    idc(uri_xsd_integer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).

fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,
    ! [X1] :
      ( icext(uri_xsd_string,X1)
     => icext(uri_rdf_PlainLiteral,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).

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/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).

fof(owl_dat_dtype_decimal_type,axiom,
    idc(uri_xsd_decimal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).

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/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(owl_dat_dtype_string_type,axiom,
    idc(uri_xsd_string),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).

fof(c_0_12,plain,
    ! [X6] :
      ( ~ icext(uri_owl_rational,X6)
      | icext(uri_owl_real,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_rational_real])]) ).

fof(c_0_13,plain,
    ! [X7] :
      ( ~ icext(uri_xsd_decimal,X7)
      | icext(uri_owl_rational,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_decimal_rational])]) ).

fof(c_0_14,plain,
    ! [X9] :
      ( ~ idc(X9)
      | ic(X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_idc_cond_set])]) ).

fof(c_0_15,plain,
    ! [X4] :
      ( ~ icext(uri_rdf_PlainLiteral,X4)
      | ~ icext(uri_owl_real,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_disjoint_plainliteral_real])]) ).

cnf(c_0_16,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_owl_rational,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( icext(uri_owl_rational,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X8] :
      ( ~ icext(uri_xsd_integer,X8)
      | icext(uri_xsd_decimal,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_integer_decimal])]) ).

fof(c_0_19,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ( ic(X10)
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( ic(X11)
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( ~ icext(X10,X12)
        | icext(X11,X12)
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( icext(X13,esk1_2(X13,X14))
        | ~ ic(X13)
        | ~ ic(X14)
        | iext(uri_rdfs_subClassOf,X13,X14) )
      & ( ~ icext(X14,esk1_2(X13,X14))
        | ~ ic(X13)
        | ~ ic(X14)
        | iext(uri_rdfs_subClassOf,X13,X14) ) ),
    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_20,plain,
    ( ic(X1)
    | ~ idc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    idc(uri_xsd_integer),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_integer_type]) ).

cnf(c_0_22,plain,
    ( ~ icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_owl_real,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_24,plain,
    ! [X5] :
      ( ~ icext(uri_xsd_string,X5)
      | icext(uri_rdf_PlainLiteral,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_string_plainliteral])]) ).

fof(c_0_25,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_26,plain,
    ( icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_integer,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( icext(X1,esk1_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ic(uri_xsd_integer),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,plain,
    idc(uri_xsd_decimal),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_decimal_type]) ).

cnf(c_0_30,plain,
    ( ~ icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,plain,
    ( icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_32,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ( ic(X16)
        | ~ iext(uri_owl_disjointWith,X16,X17) )
      & ( ic(X17)
        | ~ iext(uri_owl_disjointWith,X16,X17) )
      & ( ~ icext(X16,X18)
        | ~ icext(X17,X18)
        | ~ iext(uri_owl_disjointWith,X16,X17) )
      & ( icext(X19,esk2_2(X19,X20))
        | ~ ic(X19)
        | ~ ic(X20)
        | iext(uri_owl_disjointWith,X19,X20) )
      & ( icext(X20,esk2_2(X19,X20))
        | ~ ic(X19)
        | ~ ic(X20)
        | iext(uri_owl_disjointWith,X19,X20) ) ),
    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_eqdis_disjointwith])])])])])]) ).

cnf(c_0_33,plain,
    idc(uri_xsd_string),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_string_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_25]) ).

cnf(c_0_35,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk1_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_36,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_26,c_0_27]),c_0_28])]) ).

cnf(c_0_37,plain,
    ic(uri_xsd_decimal),
    inference(spm,[status(thm)],[c_0_20,c_0_29]) ).

cnf(c_0_38,plain,
    ( ~ icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,plain,
    ( icext(X1,esk2_2(X2,X1))
    | iext(uri_owl_disjointWith,X2,X1)
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ic(uri_xsd_string),
    inference(spm,[status(thm)],[c_0_20,c_0_33]) ).

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

cnf(c_0_42,plain,
    iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28]),c_0_37])]) ).

cnf(c_0_43,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_38,c_0_39]),c_0_40])]) ).

cnf(c_0_44,plain,
    ( icext(X1,esk2_2(X1,X2))
    | iext(uri_owl_disjointWith,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_45,negated_conjecture,
    ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    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
% 0.12/0.13  % Problem    : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n007.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    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 06:38:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.009000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.011000 s
%------------------------------------------------------------------------------