TSTP Solution File: CSR065+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR065+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 : n023.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 10:36:07 EDT 2023

% Result   : Theorem 3.93s 2.04s
% Output   : CNFRefutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   75 (  22 unt;  38 typ;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  19   ~;  13   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  21   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  17 con; 0-1 aty)
%            Number of variables   :    9 (;   9   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ relationallinstance > natargument > tptpofobject > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpquantity > thing > ridgeline_topographical > predicate > partiallytangible > mtvisible > microtheory > collection > binarypredicate > #nlpp > f_tptpquantityfn_13 > n_468 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpridgeline_topographical > c_tptpquantityfn_13 > c_tptpofobject > c_tptp_spindleheadmt > c_tptp_spindlecollectormt > c_tptp_member3993_mt > c_tptp_member235_mt > c_ridgeline_topographical > c_genlmt > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > c_basekb

%Foreground sorts:

%Background operators:

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

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

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

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

tff(n_468,type,
    n_468: $i ).

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

tff(f_tptpquantityfn_13,type,
    f_tptpquantityfn_13: $i > $i ).

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

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

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

tff(natfunction,type,
    natfunction: ( $i * $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(c_tptpridgeline_topographical,type,
    c_tptpridgeline_topographical: $i ).

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

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

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

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

tff(c_tptpquantityfn_13,type,
    c_tptpquantityfn_13: $i ).

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

tff(c_tptp_member235_mt,type,
    c_tptp_member235_mt: $i ).

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(f_53,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

tff(f_43,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

tff(f_234,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

tff(f_270,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query65) ).

tff(f_49,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

tff(f_47,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

tff(f_63,axiom,
    ( mtvisible(c_tptp_member235_mt)
   => relationallinstance(c_tptpofobject,c_ridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

tff(f_45,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

tff(f_60,axiom,
    ! [INS] :
      ( ( mtvisible(c_tptp_member235_mt)
        & ridgeline_topographical(INS) )
     => tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

tff(c_18,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_118,plain,
    ~ mtvisible(c_cyclistsmt),
    inference(splitLeft,[status(thm)],[c_18]) ).

tff(c_10,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_310,plain,
    ! [GENLMT_139,SPECMT_140] :
      ( mtvisible(GENLMT_139)
      | ~ genlmt(SPECMT_140,GENLMT_139)
      | ~ mtvisible(SPECMT_140) ),
    inference(cnfTransformation,[status(thm)],[f_234]) ).

tff(c_325,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[status(thm)],[c_10,c_310]) ).

tff(c_345,plain,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(negUnitSimplification,[status(thm)],[c_118,c_325]) ).

tff(c_116,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnfTransformation,[status(thm)],[f_270]) ).

tff(c_16,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_319,plain,
    ( mtvisible(c_tptp_member3993_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_16,c_310]) ).

tff(c_339,plain,
    mtvisible(c_tptp_member3993_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_319]) ).

tff(c_14,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_336,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3993_mt) ),
    inference(resolution,[status(thm)],[c_14,c_310]) ).

tff(c_351,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(demodulation,[status(thm),theory(equality)],[c_339,c_336]) ).

tff(c_352,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_345,c_351]) ).

tff(c_353,plain,
    ridgeline_topographical(c_tptpridgeline_topographical),
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_22,plain,
    ( relationallinstance(c_tptpofobject,c_ridgeline_topographical,f_tptpquantityfn_13(n_468))
    | ~ mtvisible(c_tptp_member235_mt) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_538,plain,
    ~ mtvisible(c_tptp_member235_mt),
    inference(splitLeft,[status(thm)],[c_22]) ).

tff(c_12,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_497,plain,
    ! [GENLMT_186,SPECMT_187] :
      ( mtvisible(GENLMT_186)
      | ~ genlmt(SPECMT_187,GENLMT_186)
      | ~ mtvisible(SPECMT_187) ),
    inference(cnfTransformation,[status(thm)],[f_234]) ).

tff(c_509,plain,
    ( mtvisible(c_tptp_member235_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_12,c_497]) ).

tff(c_529,plain,
    mtvisible(c_tptp_member235_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_509]) ).

tff(c_539,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_538,c_529]) ).

tff(c_541,plain,
    mtvisible(c_tptp_member235_mt),
    inference(splitRight,[status(thm)],[c_22]) ).

tff(c_20,plain,
    ! [INS_1] :
      ( tptpofobject(INS_1,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(INS_1)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_544,plain,
    ! [INS_188] :
      ( tptpofobject(INS_188,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(INS_188) ),
    inference(demodulation,[status(thm),theory(equality)],[c_541,c_20]) ).

tff(c_114,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(cnfTransformation,[status(thm)],[f_270]) ).

tff(c_553,plain,
    ~ ridgeline_topographical(c_tptpridgeline_topographical),
    inference(resolution,[status(thm)],[c_544,c_114]) ).

tff(c_560,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_353,c_553]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 20:55:07 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.93/2.04  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.34/2.04  
% 4.34/2.04  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.34/2.07  
% 4.34/2.07  Inference rules
% 4.34/2.07  ----------------------
% 4.34/2.07  #Ref     : 0
% 4.34/2.07  #Sup     : 80
% 4.34/2.07  #Fact    : 0
% 4.34/2.07  #Define  : 0
% 4.34/2.07  #Split   : 7
% 4.34/2.07  #Chain   : 0
% 4.34/2.07  #Close   : 0
% 4.34/2.07  
% 4.34/2.07  Ordering : KBO
% 4.34/2.07  
% 4.34/2.07  Simplification rules
% 4.34/2.07  ----------------------
% 4.34/2.07  #Subsume      : 14
% 4.34/2.07  #Demod        : 27
% 4.34/2.07  #Tautology    : 32
% 4.34/2.07  #SimpNegUnit  : 11
% 4.34/2.07  #BackRed      : 7
% 4.34/2.07  
% 4.34/2.07  #Partial instantiations: 0
% 4.34/2.07  #Strategies tried      : 1
% 4.34/2.07  
% 4.34/2.07  Timing (in seconds)
% 4.34/2.07  ----------------------
% 4.34/2.08  Preprocessing        : 0.55
% 4.34/2.08  Parsing              : 0.31
% 4.34/2.08  CNF conversion       : 0.04
% 4.34/2.08  Main loop            : 0.41
% 4.34/2.08  Inferencing          : 0.16
% 4.34/2.08  Reduction            : 0.12
% 4.34/2.08  Demodulation         : 0.08
% 4.34/2.08  BG Simplification    : 0.02
% 4.34/2.08  Subsumption          : 0.07
% 4.34/2.08  Abstraction          : 0.01
% 4.34/2.08  MUC search           : 0.00
% 4.34/2.08  Cooper               : 0.00
% 4.34/2.08  Total                : 1.01
% 4.34/2.08  Index Insertion      : 0.00
% 4.34/2.08  Index Deletion       : 0.00
% 4.34/2.08  Index Matching       : 0.00
% 4.34/2.08  BG Taut test         : 0.00
%------------------------------------------------------------------------------