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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : CSR031+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 : n007.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 05:53:27 PM UTC 2025

% Result   : Theorem 3.67s 1.84s
% Output   : CNFRefutation 3.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   2   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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  :   17 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ isa > genls > genlpreds > genlmt > genlinverse > disjointwith > arg2isa > transitivebinarypredicate > thing > relation > predicate > mtvisible > microtheory > individual > collection > binarypredicate > #nlpp > c_universalvocabularymt > c_transitivebinarypredicate > c_tptptptpcol_16_8398 > c_tptpcol_16_18488 > c_logicaltruthmt > c_individual > c_genlmt > c_disjointwith > c_corecyclmt > c_collection > c_basekb

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(c_tptptptpcol_16_8398,type,
    c_tptptptpcol_16_8398: $i ).

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

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

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

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

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

tff(arg2isa,type,
    arg2isa: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(c_tptpcol_16_18488,type,
    c_tptpcol_16_18488: $i ).

tff(f_48,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

tff(f_45,axiom,
    ! [OBJ] :
      ~ ( collection(OBJ)
        & individual(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

tff(f_280,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query31) ).

tff(f_186,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

tff(c_12,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_113,plain,
    ! [OBJ_93] :
      ( ~ individual(OBJ_93)
      | ~ collection(OBJ_93) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_117,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[c_12,c_113]) ).

tff(c_112,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_118,plain,
    ! [INS_94,ARG2_95] :
      ( collection(INS_94)
      | ~ disjointwith(INS_94,ARG2_95) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_121,plain,
    collection(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[c_112,c_118]) ).

tff(c_128,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_117,c_121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR031+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/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
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr  7 16:39:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 3.67/1.84  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/1.84  
% 3.67/1.84  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------