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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : CSR037+1 : TPTP v9.0.0. Released v3.4.0.
% 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 : n004.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 : Wed Apr  9 05:53:32 PM UTC 2025

% Result   : Theorem 4.66s 2.07s
% Output   : CNFRefutation 4.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   8   ~;   5   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  14 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ isa > geographicalsubregions > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > thing > predicate > physicalorderingpredicate > orderingpredicate > mtvisible > microtheory > geographicalregion > collection > binarypredicate > #nlpp > c_worldgeographymt > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpgeo_spindleheadmt > c_tptpgeo_member7_mt > c_physicalorderingpredicate > c_orderingpredicate > c_georegion_l4_x45_y72 > c_georegion_l3_x15_y24 > c_georegion_l2_x5_y8 > 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(geographicalregion,type,
    geographicalregion: $i > $o ).

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

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

tff(c_georegion_l4_x45_y72,type,
    c_georegion_l4_x45_y72: $i ).

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

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

tff(c_tptpgeo_member7_mt,type,
    c_tptpgeo_member7_mt: $i ).

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

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

tff(c_georegion_l3_x15_y24,type,
    c_georegion_l3_x15_y24: $i ).

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

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

tff(c_georegion_l2_x5_y8,type,
    c_georegion_l2_x5_y8: $i ).

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

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

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

tff(physicalorderingpredicate,type,
    physicalorderingpredicate: $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_physicalorderingpredicate,type,
    c_physicalorderingpredicate: $i ).

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

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

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

tff(f_316,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query37) ).

tff(f_63,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

tff(f_67,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

tff(f_174,axiom,
    ! [X,Y,Z] :
      ( ( geographicalsubregions(X,Y)
        & geographicalsubregions(Y,Z) )
     => geographicalsubregions(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

tff(c_134,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_24,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_138,plain,
    geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_24]) ).

tff(c_26,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_136,plain,
    geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_26]) ).

tff(c_374,plain,
    ! [X_153,Z_154,Y_155] :
      ( geographicalsubregions(X_153,Z_154)
      | ~ geographicalsubregions(Y_155,Z_154)
      | ~ geographicalsubregions(X_153,Y_155) ),
    inference(cnfTransformation,[status(thm)],[f_174]) ).

tff(c_421,plain,
    ! [X_162] :
      ( geographicalsubregions(X_162,c_georegion_l4_x45_y72)
      | ~ geographicalsubregions(X_162,c_georegion_l3_x15_y24) ),
    inference(resolution,[status(thm)],[c_136,c_374]) ).

tff(c_132,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_432,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(resolution,[status(thm)],[c_421,c_132]) ).

tff(c_440,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_432]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR037+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.13  % 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 : n004.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 : Mon Apr  7 16:43:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 4.66/2.07  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.66/2.07  
% 4.66/2.07  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------