TSTP Solution File: SWB030+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWB030+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 : n021.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 11:00:31 EDT 2023

% Result   : Unsatisfiable 3.05s 1.78s
% Output   : CNFRefutation 3.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  12 unt;  14 typ;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   62 (  27   ~;  23   |;   7   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   41 (;  40   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > ic > literal_typed > #nlpp > uri_xsd_boolean > uri_rdf_type > uri_owl_onProperty > uri_owl_hasSelf > uri_owl_complementOf > uri_owl_Restriction > uri_owl_Class > uri_ex_c > dat_str_true > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

tff(literal_typed,type,
    literal_typed: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

tff(f_59,axiom,
    ? [BNODE_x] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
      & iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
      & iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
      & iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

tff(f_49,axiom,
    ! [Z,C] :
      ( iext(uri_owl_complementOf,Z,C)
     => ( ic(Z)
        & ic(C)
        & ! [X] :
            ( icext(Z,X)
          <=> ~ icext(C,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

tff(f_28,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

tff(f_37,axiom,
    ! [Z,P,V] :
      ( ( iext(uri_owl_hasSelf,Z,V)
        & iext(uri_owl_onProperty,Z,P) )
     => ! [X] :
          ( icext(Z,X)
        <=> iext(P,X,X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).

tff(c_24,plain,
    iext(uri_owl_complementOf,uri_ex_c,'#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_59,plain,
    ! [Z_24,X_25,C_26] :
      ( icext(Z_24,X_25)
      | icext(C_26,X_25)
      | ~ iext(uri_owl_complementOf,Z_24,C_26) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_62,plain,
    ! [X_25] :
      ( icext(uri_ex_c,X_25)
      | icext('#skF_1',X_25) ),
    inference(resolution,[status(thm)],[c_24,c_59]) ).

tff(c_20,plain,
    iext(uri_owl_onProperty,'#skF_1',uri_rdf_type),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_4,plain,
    ! [X_1,C_2] :
      ( iext(uri_rdf_type,X_1,C_2)
      | ~ icext(C_2,X_1) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_78,plain,
    ! [Z_31,X_32,P_33,V_34] :
      ( icext(Z_31,X_32)
      | ~ iext(P_33,X_32,X_32)
      | ~ iext(uri_owl_onProperty,Z_31,P_33)
      | ~ iext(uri_owl_hasSelf,Z_31,V_34) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_100,plain,
    ! [Z_41,C_42,V_43] :
      ( icext(Z_41,C_42)
      | ~ iext(uri_owl_onProperty,Z_41,uri_rdf_type)
      | ~ iext(uri_owl_hasSelf,Z_41,V_43)
      | ~ icext(C_42,C_42) ),
    inference(resolution,[status(thm)],[c_4,c_78]) ).

tff(c_103,plain,
    ! [C_42,V_43] :
      ( icext('#skF_1',C_42)
      | ~ iext(uri_owl_hasSelf,'#skF_1',V_43)
      | ~ icext(C_42,C_42) ),
    inference(resolution,[status(thm)],[c_20,c_100]) ).

tff(c_104,plain,
    ! [V_43] : ~ iext(uri_owl_hasSelf,'#skF_1',V_43),
    inference(splitLeft,[status(thm)],[c_103]) ).

tff(c_18,plain,
    iext(uri_owl_hasSelf,'#skF_1',literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_106,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_18]) ).

tff(c_108,plain,
    ! [C_44] :
      ( icext('#skF_1',C_44)
      | ~ icext(C_44,C_44) ),
    inference(splitRight,[status(thm)],[c_103]) ).

tff(c_112,plain,
    icext('#skF_1',uri_ex_c),
    inference(resolution,[status(thm)],[c_62,c_108]) ).

tff(c_10,plain,
    ! [C_9,X_11,Z_8] :
      ( ~ icext(C_9,X_11)
      | ~ icext(Z_8,X_11)
      | ~ iext(uri_owl_complementOf,Z_8,C_9) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_125,plain,
    ! [Z_46] :
      ( ~ icext(Z_46,uri_ex_c)
      | ~ iext(uri_owl_complementOf,Z_46,'#skF_1') ),
    inference(resolution,[status(thm)],[c_112,c_10]) ).

tff(c_129,plain,
    ~ icext(uri_ex_c,uri_ex_c),
    inference(resolution,[status(thm)],[c_24,c_125]) ).

tff(c_6,plain,
    ! [P_4,X_7,Z_3,V_5] :
      ( iext(P_4,X_7,X_7)
      | ~ icext(Z_3,X_7)
      | ~ iext(uri_owl_onProperty,Z_3,P_4)
      | ~ iext(uri_owl_hasSelf,Z_3,V_5) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_120,plain,
    ! [P_4,V_5] :
      ( iext(P_4,uri_ex_c,uri_ex_c)
      | ~ iext(uri_owl_onProperty,'#skF_1',P_4)
      | ~ iext(uri_owl_hasSelf,'#skF_1',V_5) ),
    inference(resolution,[status(thm)],[c_112,c_6]) ).

tff(c_135,plain,
    ! [V_5] : ~ iext(uri_owl_hasSelf,'#skF_1',V_5),
    inference(splitLeft,[status(thm)],[c_120]) ).

tff(c_137,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_135,c_18]) ).

tff(c_139,plain,
    ! [P_47] :
      ( iext(P_47,uri_ex_c,uri_ex_c)
      | ~ iext(uri_owl_onProperty,'#skF_1',P_47) ),
    inference(splitRight,[status(thm)],[c_120]) ).

tff(c_142,plain,
    iext(uri_rdf_type,uri_ex_c,uri_ex_c),
    inference(resolution,[status(thm)],[c_20,c_139]) ).

tff(c_2,plain,
    ! [C_2,X_1] :
      ( icext(C_2,X_1)
      | ~ iext(uri_rdf_type,X_1,C_2) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_147,plain,
    icext(uri_ex_c,uri_ex_c),
    inference(resolution,[status(thm)],[c_142,c_2]) ).

tff(c_152,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_129,c_147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB030+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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug  3 18:23:36 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 3.05/1.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/1.78  
% 3.05/1.78  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.28/1.81  
% 3.28/1.81  Inference rules
% 3.28/1.81  ----------------------
% 3.28/1.81  #Ref     : 0
% 3.28/1.81  #Sup     : 26
% 3.28/1.81  #Fact    : 0
% 3.28/1.82  #Define  : 0
% 3.28/1.82  #Split   : 8
% 3.28/1.82  #Chain   : 0
% 3.28/1.82  #Close   : 0
% 3.28/1.82  
% 3.28/1.82  Ordering : KBO
% 3.28/1.82  
% 3.28/1.82  Simplification rules
% 3.28/1.82  ----------------------
% 3.28/1.82  #Subsume      : 0
% 3.28/1.82  #Demod        : 2
% 3.28/1.82  #Tautology    : 3
% 3.28/1.82  #SimpNegUnit  : 3
% 3.28/1.82  #BackRed      : 2
% 3.28/1.82  
% 3.28/1.82  #Partial instantiations: 0
% 3.28/1.82  #Strategies tried      : 1
% 3.28/1.82  
% 3.28/1.82  Timing (in seconds)
% 3.28/1.82  ----------------------
% 3.28/1.82  Preprocessing        : 0.44
% 3.28/1.82  Parsing              : 0.25
% 3.28/1.82  CNF conversion       : 0.03
% 3.28/1.82  Main loop            : 0.32
% 3.28/1.82  Inferencing          : 0.14
% 3.28/1.82  Reduction            : 0.08
% 3.28/1.82  Demodulation         : 0.05
% 3.28/1.82  BG Simplification    : 0.01
% 3.28/1.82  Subsumption          : 0.07
% 3.28/1.82  Abstraction          : 0.01
% 3.28/1.82  MUC search           : 0.00
% 3.28/1.82  Cooper               : 0.00
% 3.28/1.82  Total                : 0.82
% 3.28/1.82  Index Insertion      : 0.00
% 3.28/1.82  Index Deletion       : 0.00
% 3.28/1.82  Index Matching       : 0.00
% 3.28/1.82  BG Taut test         : 0.00
%------------------------------------------------------------------------------