TSTP Solution File: CSR033+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR033+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 : n020.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 10:35:42 EDT 2023

% Result   : Theorem 5.34s 2.29s
% Output   : CNFRefutation 5.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   50
% Syntax   : Number of formulae    :   93 (  28 unt;  36 typ;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (  34   ~;  24   |;   4   &)
%                                         (   0 <=>;  10  =>;   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    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :   28 (;  28   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ isa > inregion > geographicalsubregions > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > thing > spatialthing_nonsituational > predicate > mtvisible > microtheory > geolevel_1 > geographicalregion > collection > binarypredicate > #nlpp > c_worldgeographymt > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpgeo_spindleheadmt > c_tptpgeo_spindlecollectormt > c_tptpgeo_member8_mt > c_tptpgeo_member2_mt > c_inregion > c_georegion_l4_x76_y23 > c_georegion_l3_x25_y7 > c_georegion_l2_x8_y2 > c_georegion_l1_x2_y0 > c_geolocation_x76_y23 > c_geolevel_1 > c_geographymt > c_geographicalsubregions > c_genlmt > c_basekb

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c_geolevel_1,type,
    c_geolevel_1: $i ).

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

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

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

tff(c_georegion_l3_x25_y7,type,
    c_georegion_l3_x25_y7: $i ).

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

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

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

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

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

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(geolevel_1,type,
    geolevel_1: $i > $o ).

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

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_geolocation_x76_y23,type,
    c_geolocation_x76_y23: $i ).

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

tff(c_tptpgeo_member2_mt,type,
    c_tptpgeo_member2_mt: $i ).

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

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

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

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

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

tff(c_georegion_l2_x8_y2,type,
    c_georegion_l2_x8_y2: $i ).

tff(c_georegion_l4_x76_y23,type,
    c_georegion_l4_x76_y23: $i ).

tff(c_georegion_l1_x2_y0,type,
    c_georegion_l1_x2_y0: $i ).

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

tff(c_tptpgeo_member8_mt,type,
    c_tptpgeo_member8_mt: $i ).

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

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

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

tff(f_73,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

tff(f_295,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
        & geolevel_1(c_georegion_l1_x2_y0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query33) ).

tff(f_53,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

tff(f_257,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).

tff(f_65,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

tff(f_69,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

tff(f_172,axiom,
    ! [X,Y,Z] :
      ( ( geographicalsubregions(X,Y)
        & geographicalsubregions(Y,Z) )
     => geographicalsubregions(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

tff(f_77,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

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

tff(f_221,axiom,
    ! [X,Y,Z] :
      ( ( inregion(X,Y)
        & inregion(Y,Z) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).

tff(f_61,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_1(c_georegion_l1_x2_y0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

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

tff(f_57,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

tff(f_55,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

tff(c_30,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_653,plain,
    ~ mtvisible(c_tptpgeo_member2_mt),
    inference(splitLeft,[status(thm)],[c_30]) ).

tff(c_126,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_18,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_824,plain,
    ! [GENLMT_233,SPECMT_234] :
      ( mtvisible(GENLMT_233)
      | ~ genlmt(SPECMT_234,GENLMT_233)
      | ~ mtvisible(SPECMT_234) ),
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_833,plain,
    ( mtvisible(c_tptpgeo_member2_mt)
    | ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_18,c_824]) ).

tff(c_854,plain,
    mtvisible(c_tptpgeo_member2_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_833]) ).

tff(c_856,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_653,c_854]) ).

tff(c_858,plain,
    mtvisible(c_tptpgeo_member2_mt),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_26,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_987,plain,
    geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
    inference(demodulation,[status(thm),theory(equality)],[c_858,c_26]) ).

tff(c_28,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_869,plain,
    geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
    inference(demodulation,[status(thm),theory(equality)],[c_858,c_28]) ).

tff(c_1146,plain,
    ! [X_280,Z_281,Y_282] :
      ( geographicalsubregions(X_280,Z_281)
      | ~ geographicalsubregions(Y_282,Z_281)
      | ~ geographicalsubregions(X_280,Y_282) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_1156,plain,
    ! [X_280] :
      ( geographicalsubregions(X_280,c_georegion_l3_x25_y7)
      | ~ geographicalsubregions(X_280,c_georegion_l2_x8_y2) ),
    inference(resolution,[status(thm)],[c_869,c_1146]) ).

tff(c_857,plain,
    geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_1157,plain,
    ! [X_280] :
      ( geographicalsubregions(X_280,c_georegion_l4_x76_y23)
      | ~ geographicalsubregions(X_280,c_georegion_l3_x25_y7) ),
    inference(resolution,[status(thm)],[c_857,c_1146]) ).

tff(c_32,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_911,plain,
    inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
    inference(demodulation,[status(thm),theory(equality)],[c_858,c_32]) ).

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_1245,plain,
    ! [X_295,Z_296,Y_297] :
      ( inregion(X_295,Z_296)
      | ~ inregion(Y_297,Z_296)
      | ~ inregion(X_295,Y_297) ),
    inference(cnfTransformation,[status(thm)],[f_221]) ).

tff(c_1549,plain,
    ! [X_324,ARG1_325,ARG2_326] :
      ( inregion(X_324,ARG1_325)
      | ~ inregion(X_324,ARG2_326)
      | ~ geographicalsubregions(ARG1_325,ARG2_326) ),
    inference(resolution,[status(thm)],[c_10,c_1245]) ).

tff(c_1604,plain,
    ! [ARG1_327] :
      ( inregion(c_geolocation_x76_y23,ARG1_327)
      | ~ geographicalsubregions(ARG1_327,c_georegion_l4_x76_y23) ),
    inference(resolution,[status(thm)],[c_911,c_1549]) ).

tff(c_124,plain,
    ( ~ geolevel_1(c_georegion_l1_x2_y0)
    | ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_127,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
    inference(splitLeft,[status(thm)],[c_124]) ).

tff(c_1623,plain,
    ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l4_x76_y23),
    inference(resolution,[status(thm)],[c_1604,c_127]) ).

tff(c_1627,plain,
    ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l3_x25_y7),
    inference(resolution,[status(thm)],[c_1157,c_1623]) ).

tff(c_1630,plain,
    ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
    inference(resolution,[status(thm)],[c_1156,c_1627]) ).

tff(c_1634,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_987,c_1630]) ).

tff(c_1635,plain,
    ~ geolevel_1(c_georegion_l1_x2_y0),
    inference(splitRight,[status(thm)],[c_124]) ).

tff(c_24,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_1637,plain,
    ~ mtvisible(c_worldgeographymt),
    inference(negUnitSimplification,[status(thm)],[c_1635,c_24]) ).

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

tff(c_2047,plain,
    ! [GENLMT_410,SPECMT_411] :
      ( mtvisible(GENLMT_410)
      | ~ genlmt(SPECMT_411,GENLMT_410)
      | ~ mtvisible(SPECMT_411) ),
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_2053,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[c_16,c_2047]) ).

tff(c_2075,plain,
    ~ mtvisible(c_tptpgeo_spindleheadmt),
    inference(negUnitSimplification,[status(thm)],[c_1637,c_2053]) ).

tff(c_22,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_2062,plain,
    ( mtvisible(c_tptpgeo_member8_mt)
    | ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_22,c_2047]) ).

tff(c_2082,plain,
    mtvisible(c_tptpgeo_member8_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_2062]) ).

tff(c_20,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_2079,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member8_mt) ),
    inference(resolution,[status(thm)],[c_20,c_2047]) ).

tff(c_2090,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(demodulation,[status(thm),theory(equality)],[c_2082,c_2079]) ).

tff(c_2091,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2075,c_2090]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 21:09:07 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 5.34/2.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.34/2.30  
% 5.34/2.30  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.95/2.33  
% 5.95/2.33  Inference rules
% 5.95/2.33  ----------------------
% 5.95/2.33  #Ref     : 0
% 5.95/2.33  #Sup     : 393
% 5.95/2.33  #Fact    : 0
% 5.95/2.33  #Define  : 0
% 5.95/2.33  #Split   : 18
% 5.95/2.33  #Chain   : 0
% 5.95/2.33  #Close   : 0
% 5.95/2.33  
% 5.95/2.33  Ordering : KBO
% 5.95/2.33  
% 5.95/2.33  Simplification rules
% 5.95/2.33  ----------------------
% 5.95/2.33  #Subsume      : 55
% 5.95/2.33  #Demod        : 140
% 5.95/2.33  #Tautology    : 165
% 5.95/2.33  #SimpNegUnit  : 34
% 5.95/2.33  #BackRed      : 22
% 5.95/2.33  
% 5.95/2.33  #Partial instantiations: 0
% 5.95/2.33  #Strategies tried      : 1
% 5.95/2.33  
% 5.95/2.33  Timing (in seconds)
% 5.95/2.33  ----------------------
% 5.95/2.34  Preprocessing        : 0.54
% 5.95/2.34  Parsing              : 0.30
% 5.95/2.34  CNF conversion       : 0.04
% 5.95/2.34  Main loop            : 0.71
% 5.95/2.34  Inferencing          : 0.29
% 5.95/2.34  Reduction            : 0.17
% 5.95/2.34  Demodulation         : 0.12
% 5.95/2.34  BG Simplification    : 0.03
% 5.95/2.34  Subsumption          : 0.14
% 5.95/2.34  Abstraction          : 0.02
% 5.95/2.34  MUC search           : 0.00
% 5.95/2.34  Cooper               : 0.00
% 5.95/2.34  Total                : 1.30
% 5.95/2.34  Index Insertion      : 0.00
% 5.95/2.34  Index Deletion       : 0.00
% 5.95/2.34  Index Matching       : 0.00
% 5.95/2.34  BG Taut test         : 0.00
%------------------------------------------------------------------------------