TSTP Solution File: CSR056+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR056+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 : n026.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 10:36:01 EDT 2023

% Result   : Theorem 4.46s 2.17s
% Output   : CNFRefutation 4.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   76 (  21 unt;  38 typ;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  22   ~;  15   |;   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    :   17 (  17 usr;  16 con; 0-1 aty)
%            Number of variables   :   15 (;  14   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ relationallinstance > natargument > tptpofobject > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpquantity > thing > supplies > predicate > partiallytangible > mtvisible > microtheory > collection > binarypredicate > artsupplies > #nlpp > f_tptpquantityfn_14 > n_232 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpquantityfn_14 > c_tptpofobject > c_tptpartsupplies > c_tptp_spindleheadmt > c_tptp_member3717_mt > c_supplies > c_genlmt > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > c_basekb > c_artsupplies

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

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

tff(n_232,type,
    n_232: $i ).

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(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_artsupplies,type,
    c_artsupplies: $i ).

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

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

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

tff(c_tptp_member3717_mt,type,
    c_tptp_member3717_mt: $i ).

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

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

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

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

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

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

tff(f_tptpquantityfn_14,type,
    f_tptpquantityfn_14: $i > $i ).

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

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

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

tff(c_tptpquantityfn_14,type,
    c_tptpquantityfn_14: $i ).

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

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

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

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

tff(f_67,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

tff(f_63,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => relationallinstance(c_tptpofobject,c_supplies,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

tff(f_327,negated_conjecture,
    ~ ? [QUANTITY] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query56) ).

tff(f_53,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

tff(f_229,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).

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

tff(f_39,axiom,
    ! [OBJ] :
      ( artsupplies(OBJ)
     => supplies(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

tff(f_60,axiom,
    ! [INS] :
      ( ( mtvisible(c_tptp_spindleheadmt)
        & supplies(INS) )
     => tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

tff(c_24,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_143,plain,
    ~ mtvisible(c_cyclistsmt),
    inference(splitLeft,[status(thm)],[c_24]) ).

tff(c_22,plain,
    ( relationallinstance(c_tptpofobject,c_supplies,f_tptpquantityfn_14(n_232))
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_308,plain,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(splitLeft,[status(thm)],[c_22]) ).

tff(c_138,plain,
    mtvisible(c_tptp_member3717_mt),
    inference(cnfTransformation,[status(thm)],[f_327]) ).

tff(c_18,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_309,plain,
    ! [GENLMT_168,SPECMT_169] :
      ( mtvisible(GENLMT_168)
      | ~ genlmt(SPECMT_169,GENLMT_168)
      | ~ mtvisible(SPECMT_169) ),
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_315,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(resolution,[status(thm)],[c_18,c_309]) ).

tff(c_334,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_315]) ).

tff(c_336,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_308,c_334]) ).

tff(c_338,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(splitRight,[status(thm)],[c_22]) ).

tff(c_16,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_352,plain,
    ! [GENLMT_170,SPECMT_171] :
      ( mtvisible(GENLMT_170)
      | ~ genlmt(SPECMT_171,GENLMT_170)
      | ~ mtvisible(SPECMT_171) ),
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_364,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[status(thm)],[c_16,c_352]) ).

tff(c_382,plain,
    mtvisible(c_cyclistsmt),
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_364]) ).

tff(c_384,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_143,c_382]) ).

tff(c_385,plain,
    artsupplies(c_tptpartsupplies),
    inference(splitRight,[status(thm)],[c_24]) ).

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

tff(c_567,plain,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(splitLeft,[status(thm)],[c_22]) ).

tff(c_568,plain,
    ! [GENLMT_229,SPECMT_230] :
      ( mtvisible(GENLMT_229)
      | ~ genlmt(SPECMT_230,GENLMT_229)
      | ~ mtvisible(SPECMT_230) ),
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_574,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(resolution,[status(thm)],[c_18,c_568]) ).

tff(c_593,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_574]) ).

tff(c_595,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_567,c_593]) ).

tff(c_597,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(splitRight,[status(thm)],[c_22]) ).

tff(c_20,plain,
    ! [INS_2] :
      ( tptpofobject(INS_2,f_tptpquantityfn_14(n_232))
      | ~ supplies(INS_2)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_651,plain,
    ! [INS_233] :
      ( tptpofobject(INS_233,f_tptpquantityfn_14(n_232))
      | ~ supplies(INS_233) ),
    inference(demodulation,[status(thm),theory(equality)],[c_597,c_20]) ).

tff(c_140,plain,
    ! [QUANTITY_111] : ~ tptpofobject(c_tptpartsupplies,QUANTITY_111),
    inference(cnfTransformation,[status(thm)],[f_327]) ).

tff(c_665,plain,
    ~ supplies(c_tptpartsupplies),
    inference(resolution,[status(thm)],[c_651,c_140]) ).

tff(c_668,plain,
    ~ artsupplies(c_tptpartsupplies),
    inference(resolution,[status(thm)],[c_4,c_665]) ).

tff(c_672,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_385,c_668]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR056+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % 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
% 0.13/0.35  % Computer : n026.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 20:57:17 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 4.46/2.17  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.46/2.18  
% 4.46/2.18  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.46/2.21  
% 4.46/2.21  Inference rules
% 4.46/2.21  ----------------------
% 4.46/2.21  #Ref     : 0
% 4.46/2.21  #Sup     : 100
% 4.46/2.21  #Fact    : 0
% 4.46/2.21  #Define  : 0
% 4.46/2.21  #Split   : 6
% 4.46/2.21  #Chain   : 0
% 4.46/2.21  #Close   : 0
% 4.46/2.21  
% 4.46/2.21  Ordering : KBO
% 4.46/2.21  
% 4.46/2.21  Simplification rules
% 4.46/2.21  ----------------------
% 4.46/2.21  #Subsume      : 19
% 4.46/2.21  #Demod        : 34
% 4.46/2.21  #Tautology    : 47
% 4.46/2.21  #SimpNegUnit  : 7
% 4.46/2.21  #BackRed      : 4
% 4.46/2.21  
% 4.46/2.21  #Partial instantiations: 0
% 4.46/2.21  #Strategies tried      : 1
% 4.46/2.21  
% 4.46/2.21  Timing (in seconds)
% 4.46/2.21  ----------------------
% 4.46/2.21  Preprocessing        : 0.61
% 4.46/2.21  Parsing              : 0.35
% 4.46/2.21  CNF conversion       : 0.04
% 4.46/2.21  Main loop            : 0.46
% 4.46/2.22  Inferencing          : 0.18
% 4.46/2.22  Reduction            : 0.13
% 4.46/2.22  Demodulation         : 0.09
% 4.46/2.22  BG Simplification    : 0.03
% 4.46/2.22  Subsumption          : 0.08
% 4.46/2.22  Abstraction          : 0.02
% 4.46/2.22  MUC search           : 0.00
% 4.46/2.22  Cooper               : 0.00
% 4.46/2.22  Total                : 1.13
% 4.46/2.22  Index Insertion      : 0.00
% 4.46/2.22  Index Deletion       : 0.00
% 4.46/2.22  Index Matching       : 0.00
% 4.46/2.22  BG Taut test         : 0.00
%------------------------------------------------------------------------------