TSTP Solution File: SWB005+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWB005+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 : 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 : Tue Aug 22 11:00:14 EDT 2023

% Result   : Theorem 2.26s 1.73s
% Output   : CNFRefutation 3.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   65 (  32 unt;  12 typ;   0 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  108 (  60   ~;  35   |;   7   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   24 (;  24   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > ir > ip > #nlpp > uri_rdfs_Resource > uri_rdf_type > uri_rdf_Property > uri_owl_Thing > uri_owl_ObjectProperty > uri_ex_s > uri_ex_p > uri_ex_o

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_67,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

tff(f_30,axiom,
    ! [S,P,O] :
      ( iext(P,S,O)
     => ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

tff(f_34,axiom,
    ! [P] :
      ( iext(uri_rdf_type,P,uri_rdf_Property)
    <=> ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

tff(f_26,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

tff(f_46,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

tff(f_38,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

tff(f_50,axiom,
    ! [X] :
      ( icext(uri_owl_ObjectProperty,X)
    <=> ip(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

tff(f_42,axiom,
    ! [X] :
      ( ir(X)
    <=> icext(uri_rdfs_Resource,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).

tff(f_66,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

tff(c_28,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_50,plain,
    ! [P_18,S_19,O_20] :
      ( ip(P_18)
      | ~ iext(P_18,S_19,O_20) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_58,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[c_28,c_50]) ).

tff(c_8,plain,
    ! [P_5] :
      ( iext(uri_rdf_type,P_5,uri_rdf_Property)
      | ~ ip(P_5) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2,plain,
    ! [X_1] : ir(X_1),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_20,plain,
    ! [X_9] :
      ( icext(uri_owl_Thing,X_9)
      | ~ ir(X_9) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_32,plain,
    ! [X_9] : icext(uri_owl_Thing,X_9),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_20]) ).

tff(c_12,plain,
    ! [X_6,C_7] :
      ( iext(uri_rdf_type,X_6,C_7)
      | ~ icext(C_7,X_6) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_24,plain,
    ! [X_10] :
      ( icext(uri_owl_ObjectProperty,X_10)
      | ~ ip(X_10) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_14,plain,
    ! [X_8] :
      ( icext(uri_rdfs_Resource,X_8)
      | ~ ir(X_8) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_30,plain,
    ! [X_8] : icext(uri_rdfs_Resource,X_8),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14]) ).

tff(c_73,plain,
    ! [X_24,C_25] :
      ( iext(uri_rdf_type,X_24,C_25)
      | ~ icext(C_25,X_24) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_26,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_59,plain,
    ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
    inference(splitLeft,[status(thm)],[c_26]) ).

tff(c_79,plain,
    ~ icext(uri_rdfs_Resource,uri_ex_s),
    inference(resolution,[status(thm)],[c_73,c_59]) ).

tff(c_91,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_79]) ).

tff(c_92,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(splitRight,[status(thm)],[c_26]) ).

tff(c_125,plain,
    ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing),
    inference(splitLeft,[status(thm)],[c_92]) ).

tff(c_128,plain,
    ~ icext(uri_owl_Thing,uri_ex_o),
    inference(resolution,[status(thm)],[c_12,c_125]) ).

tff(c_132,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_128]) ).

tff(c_133,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(splitRight,[status(thm)],[c_92]) ).

tff(c_150,plain,
    ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing),
    inference(splitLeft,[status(thm)],[c_133]) ).

tff(c_153,plain,
    ~ icext(uri_owl_Thing,uri_ex_s),
    inference(resolution,[status(thm)],[c_12,c_150]) ).

tff(c_157,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_153]) ).

tff(c_158,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(splitRight,[status(thm)],[c_133]) ).

tff(c_170,plain,
    ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource),
    inference(splitLeft,[status(thm)],[c_158]) ).

tff(c_173,plain,
    ~ icext(uri_rdfs_Resource,uri_ex_o),
    inference(resolution,[status(thm)],[c_12,c_170]) ).

tff(c_177,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_173]) ).

tff(c_178,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
    inference(splitRight,[status(thm)],[c_158]) ).

tff(c_190,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource),
    inference(splitLeft,[status(thm)],[c_178]) ).

tff(c_193,plain,
    ~ icext(uri_rdfs_Resource,uri_ex_p),
    inference(resolution,[status(thm)],[c_12,c_190]) ).

tff(c_197,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_193]) ).

tff(c_198,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(splitRight,[status(thm)],[c_178]) ).

tff(c_210,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(splitLeft,[status(thm)],[c_198]) ).

tff(c_214,plain,
    ~ icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(resolution,[status(thm)],[c_12,c_210]) ).

tff(c_217,plain,
    ~ ip(uri_ex_p),
    inference(resolution,[status(thm)],[c_24,c_214]) ).

tff(c_221,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_217]) ).

tff(c_222,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    inference(splitRight,[status(thm)],[c_198]) ).

tff(c_238,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing),
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_241,plain,
    ~ icext(uri_owl_Thing,uri_ex_p),
    inference(resolution,[status(thm)],[c_12,c_238]) ).

tff(c_245,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_241]) ).

tff(c_246,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_253,plain,
    ~ ip(uri_ex_p),
    inference(resolution,[status(thm)],[c_8,c_246]) ).

tff(c_258,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 18:12:38 EDT 2023
% 0.22/0.36  % CPUTime  : 
% 2.26/1.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.73  
% 2.73/1.73  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.07/1.77  
% 3.07/1.77  Inference rules
% 3.07/1.77  ----------------------
% 3.07/1.77  #Ref     : 0
% 3.07/1.77  #Sup     : 36
% 3.07/1.77  #Fact    : 0
% 3.07/1.77  #Define  : 0
% 3.07/1.77  #Split   : 8
% 3.07/1.77  #Chain   : 0
% 3.07/1.77  #Close   : 0
% 3.07/1.77  
% 3.07/1.77  Ordering : KBO
% 3.07/1.77  
% 3.07/1.77  Simplification rules
% 3.07/1.77  ----------------------
% 3.07/1.77  #Subsume      : 2
% 3.07/1.77  #Demod        : 25
% 3.07/1.77  #Tautology    : 20
% 3.07/1.77  #SimpNegUnit  : 4
% 3.07/1.77  #BackRed      : 4
% 3.07/1.77  
% 3.07/1.77  #Partial instantiations: 0
% 3.07/1.77  #Strategies tried      : 1
% 3.07/1.77  
% 3.07/1.77  Timing (in seconds)
% 3.07/1.77  ----------------------
% 3.07/1.77  Preprocessing        : 0.42
% 3.07/1.77  Parsing              : 0.23
% 3.07/1.77  CNF conversion       : 0.02
% 3.07/1.77  Main loop            : 0.29
% 3.07/1.77  Inferencing          : 0.12
% 3.07/1.77  Reduction            : 0.08
% 3.07/1.77  Demodulation         : 0.06
% 3.07/1.77  BG Simplification    : 0.02
% 3.07/1.77  Subsumption          : 0.05
% 3.07/1.77  Abstraction          : 0.01
% 3.07/1.77  MUC search           : 0.00
% 3.07/1.77  Cooper               : 0.00
% 3.07/1.77  Total                : 0.76
% 3.07/1.77  Index Insertion      : 0.00
% 3.07/1.77  Index Deletion       : 0.00
% 3.07/1.77  Index Matching       : 0.00
% 3.07/1.77  BG Taut test         : 0.00
%------------------------------------------------------------------------------