TSTP Solution File: SWB032+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n009.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 : Tue Aug 22 11:00:32 EDT 2023

% Result   : Theorem 3.98s 2.08s
% Output   : CNFRefutation 3.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   59 (  15 unt;  14 typ;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   97 (  40   ~;  42   |;   7   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   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   :   34 (;  34   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > idc > ic > #nlpp > uri_xsd_string > uri_xsd_integer > uri_xsd_decimal > uri_rdfs_subClassOf > uri_rdf_PlainLiteral > uri_owl_real > uri_owl_rational > uri_owl_disjointWith > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(uri_xsd_integer,type,
    uri_xsd_integer: $i ).

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

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

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

tff(uri_xsd_string,type,
    uri_xsd_string: $i ).

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

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

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

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

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

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

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

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(f_79,negated_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/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).

tff(f_25,axiom,
    idc(uri_xsd_string),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).

tff(f_52,axiom,
    ! [X] :
      ( idc(X)
     => ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

tff(f_26,axiom,
    idc(uri_xsd_decimal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).

tff(f_75,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ~ ( icext(C1,X)
              & icext(C2,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

tff(f_44,axiom,
    ! [X] :
      ( icext(uri_xsd_decimal,X)
     => icext(uri_owl_rational,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).

tff(f_40,axiom,
    ! [X] :
      ( icext(uri_owl_rational,X)
     => icext(uri_owl_real,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).

tff(f_36,axiom,
    ! [X] :
      ( icext(uri_xsd_string,X)
     => icext(uri_rdf_PlainLiteral,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).

tff(f_32,axiom,
    ! [X] :
      ~ ( icext(uri_rdf_PlainLiteral,X)
        & icext(uri_owl_real,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

tff(f_27,axiom,
    idc(uri_xsd_integer),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).

tff(f_63,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ( icext(C1,X)
           => icext(C2,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

tff(f_48,axiom,
    ! [X] :
      ( icext(uri_xsd_integer,X)
     => icext(uri_xsd_decimal,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).

tff(c_40,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_56,plain,
    ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    inference(splitLeft,[status(thm)],[c_40]) ).

tff(c_2,plain,
    idc(uri_xsd_string),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_41,plain,
    ! [X_17] :
      ( ic(X_17)
      | ~ idc(X_17) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_51,plain,
    ic(uri_xsd_string),
    inference(resolution,[status(thm)],[c_2,c_41]) ).

tff(c_4,plain,
    idc(uri_xsd_decimal),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_52,plain,
    ic(uri_xsd_decimal),
    inference(resolution,[status(thm)],[c_4,c_41]) ).

tff(c_114,plain,
    ! [C1_43,C2_44] :
      ( icext(C1_43,'#skF_2'(C1_43,C2_44))
      | iext(uri_owl_disjointWith,C1_43,C2_44)
      | ~ ic(C2_44)
      | ~ ic(C1_43) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_14,plain,
    ! [X_4] :
      ( icext(uri_owl_rational,X_4)
      | ~ icext(uri_xsd_decimal,X_4) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_136,plain,
    ! [C2_44] :
      ( icext(uri_owl_rational,'#skF_2'(uri_xsd_decimal,C2_44))
      | iext(uri_owl_disjointWith,uri_xsd_decimal,C2_44)
      | ~ ic(C2_44)
      | ~ ic(uri_xsd_decimal) ),
    inference(resolution,[status(thm)],[c_114,c_14]) ).

tff(c_149,plain,
    ! [C2_44] :
      ( icext(uri_owl_rational,'#skF_2'(uri_xsd_decimal,C2_44))
      | iext(uri_owl_disjointWith,uri_xsd_decimal,C2_44)
      | ~ ic(C2_44) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_136]) ).

tff(c_12,plain,
    ! [X_3] :
      ( icext(uri_owl_real,X_3)
      | ~ icext(uri_owl_rational,X_3) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_224,plain,
    ! [C2_51,C1_52] :
      ( icext(C2_51,'#skF_2'(C1_52,C2_51))
      | iext(uri_owl_disjointWith,C1_52,C2_51)
      | ~ ic(C2_51)
      | ~ ic(C1_52) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_10,plain,
    ! [X_2] :
      ( icext(uri_rdf_PlainLiteral,X_2)
      | ~ icext(uri_xsd_string,X_2) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_242,plain,
    ! [C1_52] :
      ( icext(uri_rdf_PlainLiteral,'#skF_2'(C1_52,uri_xsd_string))
      | iext(uri_owl_disjointWith,C1_52,uri_xsd_string)
      | ~ ic(uri_xsd_string)
      | ~ ic(C1_52) ),
    inference(resolution,[status(thm)],[c_224,c_10]) ).

tff(c_324,plain,
    ! [C1_57] :
      ( icext(uri_rdf_PlainLiteral,'#skF_2'(C1_57,uri_xsd_string))
      | iext(uri_owl_disjointWith,C1_57,uri_xsd_string)
      | ~ ic(C1_57) ),
    inference(demodulation,[status(thm),theory(equality)],[c_51,c_242]) ).

tff(c_8,plain,
    ! [X_1] :
      ( ~ icext(uri_owl_real,X_1)
      | ~ icext(uri_rdf_PlainLiteral,X_1) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_372,plain,
    ! [C1_61] :
      ( ~ icext(uri_owl_real,'#skF_2'(C1_61,uri_xsd_string))
      | iext(uri_owl_disjointWith,C1_61,uri_xsd_string)
      | ~ ic(C1_61) ),
    inference(resolution,[status(thm)],[c_324,c_8]) ).

tff(c_424,plain,
    ! [C1_65] :
      ( iext(uri_owl_disjointWith,C1_65,uri_xsd_string)
      | ~ ic(C1_65)
      | ~ icext(uri_owl_rational,'#skF_2'(C1_65,uri_xsd_string)) ),
    inference(resolution,[status(thm)],[c_12,c_372]) ).

tff(c_432,plain,
    ( ~ ic(uri_xsd_decimal)
    | iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ ic(uri_xsd_string) ),
    inference(resolution,[status(thm)],[c_149,c_424]) ).

tff(c_442,plain,
    iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    inference(demodulation,[status(thm),theory(equality)],[c_51,c_52,c_432]) ).

tff(c_444,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_56,c_442]) ).

tff(c_445,plain,
    ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(splitRight,[status(thm)],[c_40]) ).

tff(c_6,plain,
    idc(uri_xsd_integer),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_53,plain,
    ic(uri_xsd_integer),
    inference(resolution,[status(thm)],[c_6,c_41]) ).

tff(c_573,plain,
    ! [C1_95,C2_96] :
      ( icext(C1_95,'#skF_1'(C1_95,C2_96))
      | iext(uri_rdfs_subClassOf,C1_95,C2_96)
      | ~ ic(C2_96)
      | ~ ic(C1_95) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_16,plain,
    ! [X_5] :
      ( icext(uri_xsd_decimal,X_5)
      | ~ icext(uri_xsd_integer,X_5) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_591,plain,
    ! [C2_96] :
      ( icext(uri_xsd_decimal,'#skF_1'(uri_xsd_integer,C2_96))
      | iext(uri_rdfs_subClassOf,uri_xsd_integer,C2_96)
      | ~ ic(C2_96)
      | ~ ic(uri_xsd_integer) ),
    inference(resolution,[status(thm)],[c_573,c_16]) ).

tff(c_627,plain,
    ! [C2_98] :
      ( icext(uri_xsd_decimal,'#skF_1'(uri_xsd_integer,C2_98))
      | iext(uri_rdfs_subClassOf,uri_xsd_integer,C2_98)
      | ~ ic(C2_98) ),
    inference(demodulation,[status(thm),theory(equality)],[c_53,c_591]) ).

tff(c_26,plain,
    ! [C2_8,C1_7] :
      ( ~ icext(C2_8,'#skF_1'(C1_7,C2_8))
      | iext(uri_rdfs_subClassOf,C1_7,C2_8)
      | ~ ic(C2_8)
      | ~ ic(C1_7) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_631,plain,
    ( ~ ic(uri_xsd_integer)
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ ic(uri_xsd_decimal) ),
    inference(resolution,[status(thm)],[c_627,c_26]) ).

tff(c_643,plain,
    iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_53,c_631]) ).

tff(c_645,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_445,c_643]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB032+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.18/0.34  % Computer : n009.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Thu Aug  3 18:19:53 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 3.98/2.08  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/2.09  
% 3.98/2.09  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.98/2.12  
% 3.98/2.12  Inference rules
% 3.98/2.12  ----------------------
% 3.98/2.12  #Ref     : 0
% 3.98/2.12  #Sup     : 132
% 3.98/2.12  #Fact    : 0
% 3.98/2.12  #Define  : 0
% 3.98/2.12  #Split   : 6
% 3.98/2.12  #Chain   : 0
% 3.98/2.12  #Close   : 0
% 3.98/2.12  
% 3.98/2.12  Ordering : KBO
% 3.98/2.12  
% 3.98/2.12  Simplification rules
% 3.98/2.12  ----------------------
% 3.98/2.12  #Subsume      : 6
% 3.98/2.12  #Demod        : 32
% 3.98/2.12  #Tautology    : 8
% 3.98/2.12  #SimpNegUnit  : 2
% 3.98/2.12  #BackRed      : 0
% 3.98/2.12  
% 3.98/2.12  #Partial instantiations: 0
% 3.98/2.12  #Strategies tried      : 1
% 3.98/2.12  
% 3.98/2.12  Timing (in seconds)
% 3.98/2.12  ----------------------
% 3.98/2.13  Preprocessing        : 0.49
% 3.98/2.13  Parsing              : 0.27
% 3.98/2.13  CNF conversion       : 0.03
% 3.98/2.13  Main loop            : 0.48
% 3.98/2.13  Inferencing          : 0.20
% 3.98/2.13  Reduction            : 0.11
% 3.98/2.13  Demodulation         : 0.07
% 3.98/2.13  BG Simplification    : 0.03
% 3.98/2.13  Subsumption          : 0.10
% 3.98/2.13  Abstraction          : 0.02
% 3.98/2.13  MUC search           : 0.00
% 3.98/2.13  Cooper               : 0.00
% 3.98/2.13  Total                : 1.03
% 3.98/2.13  Index Insertion      : 0.00
% 3.98/2.13  Index Deletion       : 0.00
% 3.98/2.13  Index Matching       : 0.00
% 3.98/2.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------