TSTP Solution File: SWB031+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWB031+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n010.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 3.88s 1.98s
% Output   : CNFRefutation 3.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   53 (  21 unt;  18 typ;   0 def)
%            Number of atoms       :   68 (  14 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   58 (  25   ~;  20   |;   7   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (   8   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :   45 (;  43   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > ir > ic > #nlpp > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_owl_oneOf > uri_owl_equivalentClass > uri_owl_Thing > uri_owl_Nothing > uri_ex_w > #skF_1 > #skF_3 > #skF_5 > #skF_6 > #skF_2 > #skF_4

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

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

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

tff('#skF_5',type,
    '#skF_5': $i ).

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

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

tff('#skF_6',type,
    '#skF_6': $i ).

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

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

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

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

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff(f_65,axiom,
    ? [BNODE_x,BNODE_l] :
      ( iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x)
      & iext(uri_owl_oneOf,BNODE_x,BNODE_l)
      & iext(uri_rdf_first,BNODE_l,uri_ex_w)
      & iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).

tff(f_26,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

tff(f_30,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

tff(f_57,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ( icext(C1,X)
          <=> icext(C2,X) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

tff(f_46,axiom,
    ! [Z,S1,A1] :
      ( ( iext(uri_rdf_first,S1,A1)
        & iext(uri_rdf_rest,S1,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ic(Z)
          & ! [X] :
              ( icext(Z,X)
            <=> ( X = A1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).

tff(f_33,axiom,
    ! [X] : ~ icext(uri_owl_Nothing,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).

tff(c_46,plain,
    iext(uri_owl_equivalentClass,uri_owl_Thing,'#skF_5'),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

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

tff(c_6,plain,
    ! [X_2] :
      ( icext(uri_owl_Thing,X_2)
      | ~ ir(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_48,plain,
    ! [X_2] : icext(uri_owl_Thing,X_2),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_6]) ).

tff(c_63,plain,
    ! [C2_22,X_23,C1_24] :
      ( icext(C2_22,X_23)
      | ~ icext(C1_24,X_23)
      | ~ iext(uri_owl_equivalentClass,C1_24,C2_22) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_67,plain,
    ! [C2_25,X_26] :
      ( icext(C2_25,X_26)
      | ~ iext(uri_owl_equivalentClass,uri_owl_Thing,C2_25) ),
    inference(resolution,[status(thm)],[c_48,c_63]) ).

tff(c_70,plain,
    ! [X_26] : icext('#skF_5',X_26),
    inference(resolution,[status(thm)],[c_46,c_67]) ).

tff(c_42,plain,
    iext(uri_rdf_first,'#skF_6',uri_ex_w),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_44,plain,
    iext(uri_owl_oneOf,'#skF_5','#skF_6'),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_40,plain,
    iext(uri_rdf_rest,'#skF_6',uri_rdf_nil),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_101,plain,
    ! [X_43,A1_44,Z_45,S1_46] :
      ( ( X_43 = A1_44 )
      | ~ icext(Z_45,X_43)
      | ~ iext(uri_owl_oneOf,Z_45,S1_46)
      | ~ iext(uri_rdf_rest,S1_46,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1_46,A1_44) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_113,plain,
    ! [X_50,A1_51,S1_52] :
      ( ( X_50 = A1_51 )
      | ~ iext(uri_owl_oneOf,'#skF_5',S1_52)
      | ~ iext(uri_rdf_rest,S1_52,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1_52,A1_51) ),
    inference(resolution,[status(thm)],[c_70,c_101]) ).

tff(c_115,plain,
    ! [X_50,A1_51] :
      ( ( X_50 = A1_51 )
      | ~ iext(uri_owl_oneOf,'#skF_5','#skF_6')
      | ~ iext(uri_rdf_first,'#skF_6',A1_51) ),
    inference(resolution,[status(thm)],[c_40,c_113]) ).

tff(c_134,plain,
    ! [X_55,A1_56] :
      ( ( X_55 = A1_56 )
      | ~ iext(uri_rdf_first,'#skF_6',A1_56) ),
    inference(demodulation,[status(thm),theory(equality)],[c_44,c_115]) ).

tff(c_142,plain,
    uri_ex_w = '#skF_5',
    inference(resolution,[status(thm)],[c_42,c_134]) ).

tff(c_137,plain,
    ! [X_55] : ( uri_ex_w = X_55 ),
    inference(resolution,[status(thm)],[c_42,c_134]) ).

tff(c_326,plain,
    ! [X_687] : ( X_687 = '#skF_5' ),
    inference(superposition,[status(thm),theory(equality)],[c_142,c_137]) ).

tff(c_108,plain,
    ! [X_47,A1_48,S1_49] :
      ( ( X_47 = A1_48 )
      | ~ iext(uri_owl_oneOf,uri_owl_Thing,S1_49)
      | ~ iext(uri_rdf_rest,S1_49,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1_49,A1_48) ),
    inference(resolution,[status(thm)],[c_48,c_101]) ).

tff(c_111,plain,
    ! [X_47,A1_48] :
      ( ( X_47 = A1_48 )
      | ~ iext(uri_owl_oneOf,uri_owl_Thing,'#skF_6')
      | ~ iext(uri_rdf_first,'#skF_6',A1_48) ),
    inference(resolution,[status(thm)],[c_40,c_108]) ).

tff(c_112,plain,
    ~ iext(uri_owl_oneOf,uri_owl_Thing,'#skF_6'),
    inference(splitLeft,[status(thm)],[c_111]) ).

tff(c_347,plain,
    ~ iext(uri_owl_oneOf,'#skF_5','#skF_6'),
    inference(superposition,[status(thm),theory(equality)],[c_326,c_112]) ).

tff(c_413,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_44,c_347]) ).

tff(c_426,plain,
    ! [X_1018,A1_1019] :
      ( ( X_1018 = A1_1019 )
      | ~ iext(uri_rdf_first,'#skF_6',A1_1019) ),
    inference(splitRight,[status(thm)],[c_111]) ).

tff(c_434,plain,
    uri_ex_w = '#skF_5',
    inference(resolution,[status(thm)],[c_42,c_426]) ).

tff(c_429,plain,
    ! [X_1018] : ( uri_ex_w = X_1018 ),
    inference(resolution,[status(thm)],[c_42,c_426]) ).

tff(c_609,plain,
    ! [X_1604] : ( X_1604 = '#skF_5' ),
    inference(superposition,[status(thm),theory(equality)],[c_434,c_429]) ).

tff(c_8,plain,
    ! [X_3] : ~ icext(uri_owl_Nothing,X_3),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_684,plain,
    ! [X_3] : ~ icext('#skF_5',X_3),
    inference(superposition,[status(thm),theory(equality)],[c_609,c_8]) ).

tff(c_696,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_70,c_684]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.15/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n010.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 18:10:44 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 3.88/1.98  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.88/1.98  
% 3.88/1.98  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.88/2.01  
% 3.88/2.01  Inference rules
% 3.88/2.01  ----------------------
% 3.88/2.01  #Ref     : 0
% 3.88/2.01  #Sup     : 259
% 3.88/2.01  #Fact    : 0
% 3.88/2.01  #Define  : 0
% 3.88/2.01  #Split   : 1
% 3.88/2.01  #Chain   : 0
% 3.88/2.01  #Close   : 0
% 3.88/2.01  
% 3.88/2.01  Ordering : KBO
% 3.88/2.01  
% 3.88/2.01  Simplification rules
% 3.88/2.01  ----------------------
% 3.88/2.01  #Subsume      : 8
% 3.88/2.01  #Demod        : 23
% 3.88/2.01  #Tautology    : 13
% 3.88/2.01  #SimpNegUnit  : 0
% 3.88/2.01  #BackRed      : 0
% 3.88/2.01  
% 3.88/2.01  #Partial instantiations: 183
% 3.88/2.01  #Strategies tried      : 1
% 3.88/2.01  
% 3.88/2.01  Timing (in seconds)
% 3.88/2.01  ----------------------
% 3.88/2.01  Preprocessing        : 0.48
% 3.88/2.01  Parsing              : 0.25
% 3.88/2.02  CNF conversion       : 0.04
% 3.88/2.02  Main loop            : 0.47
% 3.88/2.02  Inferencing          : 0.21
% 3.88/2.02  Reduction            : 0.11
% 3.88/2.02  Demodulation         : 0.08
% 3.88/2.02  BG Simplification    : 0.03
% 3.88/2.02  Subsumption          : 0.09
% 3.88/2.02  Abstraction          : 0.02
% 3.88/2.02  MUC search           : 0.00
% 3.88/2.02  Cooper               : 0.00
% 3.88/2.02  Total                : 1.00
% 3.88/2.02  Index Insertion      : 0.00
% 3.88/2.02  Index Deletion       : 0.00
% 3.88/2.02  Index Matching       : 0.00
% 3.88/2.02  BG Taut test         : 0.00
%------------------------------------------------------------------------------