TSTP Solution File: CSR071+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR071+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/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 : n012.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 10:36:11 EDT 2023

% Result   : Theorem 4.72s 2.08s
% Output   : CNFRefutation 4.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   49
% Syntax   : Number of formulae    :   73 (  17 unt;  41 typ;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  17   ~;  12   |;   2   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  22   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  19 con; 0-1 aty)
%            Number of variables   :   11 (;  11   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ relationallinstance > natargument > tptpofobject > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpquantity > thing > predicate > partiallytangible > navypersonnel > mtvisible > militaryperson > microtheory > collection > binarypredicate > #nlpp > f_tptpquantityfn_6 > n_414 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpquantityfn_6 > c_tptpofobject > c_tptpnavypersonnel_3 > c_tptp_spindleheadmt > c_tptp_spindlecollectormt > c_tptp_member698_mt > c_tptp_member3993_mt > c_tptp_member1672_mt > c_navypersonnel > c_militaryperson > c_genlmt > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > 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(tptpofobject,type,
    tptpofobject: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(c_tptp_member3993_mt,type,
    c_tptp_member3993_mt: $i ).

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

tff(n_414,type,
    n_414: $i ).

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

tff(c_tptp_member1672_mt,type,
    c_tptp_member1672_mt: $i ).

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

tff(c_tptpnavypersonnel_3,type,
    c_tptpnavypersonnel_3: $i ).

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

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

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

tff(n_1,type,
    n_1: $i ).

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

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

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

tff(f_tptpquantityfn_6,type,
    f_tptpquantityfn_6: $i > $i ).

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

tff(c_tptpquantityfn_6,type,
    c_tptpquantityfn_6: $i ).

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

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

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

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

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

tff(c_tptp_member698_mt,type,
    c_tptp_member698_mt: $i ).

tff(f_73,axiom,
    ( mtvisible(c_tptp_member1672_mt)
   => navypersonnel(c_tptpnavypersonnel_3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

tff(f_332,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query71) ).

tff(f_55,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

tff(f_235,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).

tff(f_39,axiom,
    ! [OBJ] :
      ( navypersonnel(OBJ)
     => militaryperson(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

tff(f_69,axiom,
    ( mtvisible(c_tptp_member698_mt)
   => relationallinstance(c_tptpofobject,c_militaryperson,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

tff(f_53,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

tff(f_66,axiom,
    ! [INS] :
      ( ( mtvisible(c_tptp_member698_mt)
        & militaryperson(INS) )
     => tptpofobject(INS,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

tff(c_30,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ mtvisible(c_tptp_member1672_mt) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_150,plain,
    ~ mtvisible(c_tptp_member1672_mt),
    inference(splitLeft,[status(thm)],[c_30]) ).

tff(c_146,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnfTransformation,[status(thm)],[f_332]) ).

tff(c_20,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_343,plain,
    ! [GENLMT_168,SPECMT_169] :
      ( mtvisible(GENLMT_168)
      | ~ genlmt(SPECMT_169,GENLMT_168)
      | ~ mtvisible(SPECMT_169) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_358,plain,
    ( mtvisible(c_tptp_member1672_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_20,c_343]) ).

tff(c_383,plain,
    mtvisible(c_tptp_member1672_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_358]) ).

tff(c_385,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_150,c_383]) ).

tff(c_386,plain,
    navypersonnel(c_tptpnavypersonnel_3),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_4,plain,
    ! [OBJ_1] :
      ( militaryperson(OBJ_1)
      | ~ navypersonnel(OBJ_1) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_391,plain,
    militaryperson(c_tptpnavypersonnel_3),
    inference(resolution,[status(thm)],[c_386,c_4]) ).

tff(c_28,plain,
    ( relationallinstance(c_tptpofobject,c_militaryperson,f_tptpquantityfn_6(n_414))
    | ~ mtvisible(c_tptp_member698_mt) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_587,plain,
    ~ mtvisible(c_tptp_member698_mt),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_18,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_588,plain,
    ! [GENLMT_224,SPECMT_225] :
      ( mtvisible(GENLMT_224)
      | ~ genlmt(SPECMT_225,GENLMT_224)
      | ~ mtvisible(SPECMT_225) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_600,plain,
    ( mtvisible(c_tptp_member698_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_18,c_588]) ).

tff(c_625,plain,
    mtvisible(c_tptp_member698_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_600]) ).

tff(c_638,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_587,c_625]) ).

tff(c_640,plain,
    mtvisible(c_tptp_member698_mt),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_26,plain,
    ! [INS_2] :
      ( tptpofobject(INS_2,f_tptpquantityfn_6(n_414))
      | ~ militaryperson(INS_2)
      | ~ mtvisible(c_tptp_member698_mt) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_706,plain,
    ! [INS_228] :
      ( tptpofobject(INS_228,f_tptpquantityfn_6(n_414))
      | ~ militaryperson(INS_228) ),
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_26]) ).

tff(c_144,plain,
    ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
    inference(cnfTransformation,[status(thm)],[f_332]) ).

tff(c_715,plain,
    ~ militaryperson(c_tptpnavypersonnel_3),
    inference(resolution,[status(thm)],[c_706,c_144]) ).

tff(c_722,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_391,c_715]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR071+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/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
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 20:47:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 4.72/2.08  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.72/2.08  
% 4.72/2.08  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.72/2.11  
% 4.72/2.11  Inference rules
% 4.72/2.11  ----------------------
% 4.72/2.11  #Ref     : 0
% 4.72/2.11  #Sup     : 109
% 4.72/2.11  #Fact    : 0
% 4.72/2.11  #Define  : 0
% 4.72/2.11  #Split   : 6
% 4.72/2.11  #Chain   : 0
% 4.72/2.11  #Close   : 0
% 4.72/2.11  
% 4.72/2.11  Ordering : KBO
% 4.72/2.11  
% 4.72/2.11  Simplification rules
% 4.72/2.11  ----------------------
% 4.72/2.11  #Subsume      : 23
% 4.72/2.11  #Demod        : 41
% 4.72/2.11  #Tautology    : 50
% 4.72/2.11  #SimpNegUnit  : 7
% 4.72/2.11  #BackRed      : 5
% 4.72/2.11  
% 4.72/2.11  #Partial instantiations: 0
% 4.72/2.11  #Strategies tried      : 1
% 4.72/2.11  
% 4.72/2.11  Timing (in seconds)
% 4.72/2.11  ----------------------
% 4.72/2.12  Preprocessing        : 0.58
% 4.72/2.12  Parsing              : 0.32
% 4.72/2.12  CNF conversion       : 0.04
% 4.72/2.12  Main loop            : 0.46
% 4.72/2.12  Inferencing          : 0.18
% 4.72/2.12  Reduction            : 0.13
% 4.72/2.12  Demodulation         : 0.09
% 4.72/2.12  BG Simplification    : 0.03
% 4.72/2.12  Subsumption          : 0.08
% 4.72/2.12  Abstraction          : 0.02
% 4.72/2.12  MUC search           : 0.00
% 4.72/2.12  Cooper               : 0.00
% 4.72/2.12  Total                : 1.09
% 4.72/2.12  Index Insertion      : 0.00
% 4.72/2.12  Index Deletion       : 0.00
% 4.72/2.12  Index Matching       : 0.00
% 4.72/2.12  BG Taut test         : 0.00
%------------------------------------------------------------------------------