TSTP Solution File: CSR029+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n016.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 10:35:39 EDT 2023

% Result   : Theorem 4.97s 2.09s
% Output   : CNFRefutation 4.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   65 (  15 unt;  32 typ;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  21   ~;  14   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  18   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  14 con; 0-0 aty)
%            Number of variables   :   18 (;  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ isa > inregion > geographicalsubregions > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > thing > spatialthing_nonsituational > predicate > mtvisible > microtheory > geolevel_3 > geographicalregion > collection > binarypredicate > #nlpp > c_worldgeographymt > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpgeo_spindleheadmt > c_tptpgeo_member3_mt > c_inregion > c_georegion_l4_x14_y39 > c_georegion_l3_x4_y13 > c_geolocation_x14_y39 > c_geolevel_3 > c_geographymt > c_geographicalsubregions > c_genlmt > c_basekb

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(mtvisible,type,
    mtvisible: $i > $o ).

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

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

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

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

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

tff(c_geolocation_x14_y39,type,
    c_geolocation_x14_y39: $i ).

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

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

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

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

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

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

tff(c_geolevel_3,type,
    c_geolevel_3: $i ).

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

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

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

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

tff(c_georegion_l3_x4_y13,type,
    c_georegion_l3_x4_y13: $i ).

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

tff(c_georegion_l4_x14_y39,type,
    c_georegion_l4_x14_y39: $i ).

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

tff(geolevel_3,type,
    geolevel_3: $i > $o ).

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

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

tff(c_tptpgeo_member3_mt,type,
    c_tptpgeo_member3_mt: $i ).

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

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

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

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

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

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

tff(f_283,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
        & geolevel_3(c_georegion_l3_x4_y13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query29) ).

tff(f_53,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

tff(f_245,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).

tff(f_61,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

tff(f_65,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

tff(f_45,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

tff(f_209,axiom,
    ! [X,Y,Z] :
      ( ( inregion(X,Y)
        & inregion(Y,Z) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

tff(f_57,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

tff(f_51,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

tff(c_118,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_18,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_1141,plain,
    ! [GENLMT_289,SPECMT_290] :
      ( mtvisible(GENLMT_289)
      | ~ genlmt(SPECMT_290,GENLMT_289)
      | ~ mtvisible(SPECMT_290) ),
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_1147,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(resolution,[status(thm)],[c_18,c_1141]) ).

tff(c_1163,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_1147]) ).

tff(c_22,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_122,plain,
    geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_22]) ).

tff(c_24,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_120,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_24]) ).

tff(c_10,plain,
    ! [ARG2_2,ARG1_1] :
      ( inregion(ARG2_2,ARG1_1)
      | ~ geographicalsubregions(ARG1_1,ARG2_2) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_617,plain,
    ! [X_207,Z_208,Y_209] :
      ( inregion(X_207,Z_208)
      | ~ inregion(Y_209,Z_208)
      | ~ inregion(X_207,Y_209) ),
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_896,plain,
    ! [X_236,ARG1_237,ARG2_238] :
      ( inregion(X_236,ARG1_237)
      | ~ inregion(X_236,ARG2_238)
      | ~ geographicalsubregions(ARG1_237,ARG2_238) ),
    inference(resolution,[status(thm)],[c_10,c_617]) ).

tff(c_909,plain,
    ! [ARG1_239] :
      ( inregion(c_geolocation_x14_y39,ARG1_239)
      | ~ geographicalsubregions(ARG1_239,c_georegion_l4_x14_y39) ),
    inference(resolution,[status(thm)],[c_120,c_896]) ).

tff(c_116,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_123,plain,
    ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
    inference(splitLeft,[status(thm)],[c_116]) ).

tff(c_922,plain,
    ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
    inference(resolution,[status(thm)],[c_909,c_123]) ).

tff(c_931,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_922]) ).

tff(c_932,plain,
    ~ geolevel_3(c_georegion_l3_x4_y13),
    inference(splitRight,[status(thm)],[c_116]) ).

tff(c_20,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_934,plain,
    ~ mtvisible(c_worldgeographymt),
    inference(negUnitSimplification,[status(thm)],[c_932,c_20]) ).

tff(c_16,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_1153,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[c_16,c_1141]) ).

tff(c_1169,plain,
    ~ mtvisible(c_tptpgeo_spindleheadmt),
    inference(negUnitSimplification,[status(thm)],[c_934,c_1153]) ).

tff(c_1174,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1163,c_1169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % 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
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug  3 21:29:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 4.97/2.09  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.97/2.10  
% 4.97/2.10  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.97/2.12  
% 4.97/2.12  Inference rules
% 4.97/2.12  ----------------------
% 4.97/2.12  #Ref     : 0
% 4.97/2.12  #Sup     : 212
% 4.97/2.12  #Fact    : 0
% 4.97/2.12  #Define  : 0
% 4.97/2.12  #Split   : 9
% 4.97/2.12  #Chain   : 0
% 4.97/2.12  #Close   : 0
% 4.97/2.12  
% 4.97/2.12  Ordering : KBO
% 4.97/2.12  
% 4.97/2.12  Simplification rules
% 4.97/2.12  ----------------------
% 4.97/2.12  #Subsume      : 33
% 4.97/2.12  #Demod        : 72
% 4.97/2.12  #Tautology    : 91
% 4.97/2.12  #SimpNegUnit  : 14
% 4.97/2.12  #BackRed      : 11
% 4.97/2.12  
% 4.97/2.12  #Partial instantiations: 0
% 4.97/2.12  #Strategies tried      : 1
% 4.97/2.12  
% 4.97/2.12  Timing (in seconds)
% 4.97/2.12  ----------------------
% 5.08/2.13  Preprocessing        : 0.53
% 5.08/2.13  Parsing              : 0.30
% 5.08/2.13  CNF conversion       : 0.04
% 5.08/2.13  Main loop            : 0.55
% 5.08/2.13  Inferencing          : 0.22
% 5.08/2.13  Reduction            : 0.15
% 5.08/2.13  Demodulation         : 0.10
% 5.08/2.13  BG Simplification    : 0.03
% 5.08/2.13  Subsumption          : 0.10
% 5.08/2.13  Abstraction          : 0.02
% 5.08/2.13  MUC search           : 0.00
% 5.08/2.13  Cooper               : 0.00
% 5.08/2.13  Total                : 1.13
% 5.08/2.13  Index Insertion      : 0.00
% 5.08/2.13  Index Deletion       : 0.00
% 5.08/2.13  Index Matching       : 0.00
% 5.08/2.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------