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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : CSR059+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/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 : n008.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 05:53:48 PM UTC 2025

% Result   : Theorem 3.78s 1.89s
% Output   : CNFRefutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   8   ~;   5   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 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  :   15 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ isa > genls > genlpreds > genlmt > genlinverse > disjointwith > borderson > thing > predicate > mtvisible > microtheory > geographicalregion > collection > binarypredicate > #nlpp > c_universalvocabularymt > c_tptpgeo_spindlecollectormt > c_tptpgeo_member5_mt > c_georegion_l4_x57_y47 > c_georegion_l4_x56_y47 > 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(borderson,type,
    borderson: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

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

tff(c_georegion_l4_x57_y47,type,
    c_georegion_l4_x57_y47: $i ).

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

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

tff(c_georegion_l4_x56_y47,type,
    c_georegion_l4_x56_y47: $i ).

tff(c_tptpgeo_member5_mt,type,
    c_tptpgeo_member5_mt: $i ).

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

tff(f_215,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query59) ).

tff(f_39,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

tff(f_35,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

tff(f_179,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

tff(f_169,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

tff(c_80,plain,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_4,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_103,plain,
    ~ mtvisible(c_tptpgeo_member5_mt),
    inference(splitLeft,[status(thm)],[c_4]) ).

tff(c_82,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_2,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_125,plain,
    ! [GENLMT_106,SPECMT_107] :
      ( mtvisible(GENLMT_106)
      | ~ genlmt(SPECMT_107,GENLMT_106)
      | ~ mtvisible(SPECMT_107) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_131,plain,
    ( mtvisible(c_tptpgeo_member5_mt)
    | ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_2,c_125]) ).

tff(c_135,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_131]) ).

tff(c_137,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_103,c_135]) ).

tff(c_138,plain,
    borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
    inference(splitRight,[status(thm)],[c_4]) ).

tff(c_168,plain,
    ! [Y_115,X_116] :
      ( borderson(Y_115,X_116)
      | ~ borderson(X_116,Y_115) ),
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_170,plain,
    borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(resolution,[status(thm)],[c_138,c_168]) ).

tff(c_174,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_80,c_170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : CSR059+1 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12  % 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
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr  7 17:01:48 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 3.78/1.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.78/1.89  
% 3.78/1.89  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------