TSTP Solution File: CSR070+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR070+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 : n010.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 4.27s 2.00s
% Output   : CNFRefutation 4.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   61
% Syntax   : Number of formulae    :   78 (  11 unt;  53 typ;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  10   ~;   8   |;   1   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  28   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   28 (  27 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  25 con; 0-3 aty)
%            Number of variables   :   20 (;  20   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ natargument > tptptypes_9_824 > tptptypes_8_823 > tptptypes_7_819 > tptptypes_6_818 > tptptypes_5_802 > orientation > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpcol_16_8886 > thing > subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible > spatialthing_localized > predicate > partiallytangible > orientationvector > mtvisible > microtheory > firstordercollection > collection > binarypredicate > f_subcollectionofwithrelationfromtypefn > #nlpp > n_3 > n_2 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptptypes_9_824 > c_tptptypes_8_823 > c_tptptypes_7_819 > c_tptptypes_6_818 > c_tptptypes_5_802 > c_tptpcol_16_8886 > c_tptp_spindleheadmt > c_tptp_spindlecollectormt > c_tptp_member3993_mt > c_tptp_member2668_mt > c_subcollectionofwithrelationfromtypefn > c_partiallytangible > c_orientationvector > c_orientation > c_genlpreds > c_genlmt > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > c_basekb

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(tptptypes_6_818,type,
    tptptypes_6_818: ( $i * $i ) > $o ).

tff(tptptypes_5_802,type,
    tptptypes_5_802: ( $i * $i ) > $o ).

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

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

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

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

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

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

tff(c_tptptypes_5_802,type,
    c_tptptypes_5_802: $i ).

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

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

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

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

tff(f_subcollectionofwithrelationfromtypefn,type,
    f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).

tff(spatialthing_localized,type,
    spatialthing_localized: $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(orientationvector,type,
    orientationvector: $i > $o ).

tff(n_2,type,
    n_2: $i ).

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

tff(orientation,type,
    orientation: ( $i * $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_tptptypes_8_823,type,
    c_tptptypes_8_823: $i ).

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

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

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

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

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

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

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

tff(c_tptptypes_7_819,type,
    c_tptptypes_7_819: $i ).

tff(c_tptpcol_16_8886,type,
    c_tptpcol_16_8886: $i ).

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

tff(tptptypes_9_824,type,
    tptptypes_9_824: ( $i * $i ) > $o ).

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

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

tff(tptptypes_7_819,type,
    tptptypes_7_819: ( $i * $i ) > $o ).

tff(n_3,type,
    n_3: $i ).

tff(c_tptp_member2668_mt,type,
    c_tptp_member2668_mt: $i ).

tff(c_tptptypes_6_818,type,
    c_tptptypes_6_818: $i ).

tff(c_tptptypes_9_824,type,
    c_tptptypes_9_824: $i ).

tff(tptptypes_8_823,type,
    tptptypes_8_823: ( $i * $i ) > $o ).

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

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

tff(tptpcol_16_8886,type,
    tptpcol_16_8886: $i > $o ).

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

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

tff(f_351,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query70) ).

tff(f_73,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).

tff(f_252,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).

tff(f_81,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

tff(f_69,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

tff(f_63,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

tff(f_57,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

tff(f_51,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

tff(c_160,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_162,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_32,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_384,plain,
    ! [GENLMT_206,SPECMT_207] :
      ( mtvisible(GENLMT_206)
      | ~ genlmt(SPECMT_207,GENLMT_206)
      | ~ mtvisible(SPECMT_207) ),
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_396,plain,
    ( mtvisible(c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[c_32,c_384]) ).

tff(c_417,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_396]) ).

tff(c_38,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_454,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(demodulation,[status(thm),theory(equality)],[c_417,c_38]) ).

tff(c_28,plain,
    ! [ARG1_7,ARG2_8] :
      ( tptptypes_8_823(ARG1_7,ARG2_8)
      | ~ tptptypes_9_824(ARG1_7,ARG2_8) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_464,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_454,c_28]) ).

tff(c_24,plain,
    ! [ARG1_5,ARG2_6] :
      ( tptptypes_7_819(ARG1_5,ARG2_6)
      | ~ tptptypes_8_823(ARG1_5,ARG2_6) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_487,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_464,c_24]) ).

tff(c_20,plain,
    ! [ARG1_3,ARG2_4] :
      ( tptptypes_6_818(ARG1_3,ARG2_4)
      | ~ tptptypes_7_819(ARG1_3,ARG2_4) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_506,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_487,c_20]) ).

tff(c_16,plain,
    ! [ARG1_1,ARG2_2] :
      ( tptptypes_5_802(ARG1_1,ARG2_2)
      | ~ tptptypes_6_818(ARG1_1,ARG2_2) ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_513,plain,
    tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_506,c_16]) ).

tff(c_523,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_160,c_513]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR070+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
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 20:59:28 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 4.27/2.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.27/2.00  
% 4.27/2.00  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.27/2.03  
% 4.27/2.03  Inference rules
% 4.27/2.03  ----------------------
% 4.27/2.03  #Ref     : 0
% 4.27/2.03  #Sup     : 62
% 4.27/2.03  #Fact    : 0
% 4.27/2.03  #Define  : 0
% 4.27/2.03  #Split   : 6
% 4.27/2.03  #Chain   : 0
% 4.27/2.03  #Close   : 0
% 4.27/2.03  
% 4.27/2.03  Ordering : KBO
% 4.27/2.03  
% 4.27/2.03  Simplification rules
% 4.27/2.03  ----------------------
% 4.27/2.03  #Subsume      : 14
% 4.27/2.03  #Demod        : 29
% 4.27/2.03  #Tautology    : 27
% 4.27/2.03  #SimpNegUnit  : 9
% 4.27/2.03  #BackRed      : 4
% 4.27/2.03  
% 4.27/2.03  #Partial instantiations: 0
% 4.27/2.03  #Strategies tried      : 1
% 4.27/2.03  
% 4.27/2.03  Timing (in seconds)
% 4.27/2.03  ----------------------
% 4.27/2.03  Preprocessing        : 0.56
% 4.27/2.03  Parsing              : 0.32
% 4.27/2.03  CNF conversion       : 0.04
% 4.27/2.03  Main loop            : 0.42
% 4.27/2.03  Inferencing          : 0.16
% 4.27/2.03  Reduction            : 0.13
% 4.27/2.03  Demodulation         : 0.09
% 4.27/2.03  BG Simplification    : 0.03
% 4.27/2.03  Subsumption          : 0.07
% 4.27/2.04  Abstraction          : 0.01
% 4.27/2.04  MUC search           : 0.00
% 4.27/2.04  Cooper               : 0.00
% 4.27/2.04  Total                : 1.03
% 4.27/2.04  Index Insertion      : 0.00
% 4.27/2.04  Index Deletion       : 0.00
% 4.27/2.04  Index Matching       : 0.00
% 4.27/2.04  BG Taut test         : 0.00
%------------------------------------------------------------------------------