TSTP Solution File: CSR066+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR066+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 : n028.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 10:36:08 EDT 2023

% Result   : Theorem 5.78s 2.32s
% Output   : CNFRefutation 5.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   58
% Syntax   : Number of formulae    :   72 (   8 unt;  51 typ;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  17   ~;  10   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   47 (  30   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  21 con; 0-4 aty)
%            Number of variables   :   19 (;  18   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ relationexistsall > natargument > tptp_8_271 > resultisaarg > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > uniformresourcelocator > transitivebinarypredicate > tptpcol_5_24579 > tptpcol_16_25972 > thing > shavingrazor_manual > razor > predicate > positiveinteger > mtvisible > microtheory > function_denotational > computerdataartifact > collection > binarypredicate > f_relationexistsallfn > f_contentmtofcdafromeventfn > #nlpp > f_urlreferentfn > f_urlfn > s_http_webnjiteducjohnsontreebiochhtm > n_4 > n_3 > n_2 > n_1 > c_urlreferentfn > c_urlfn > c_universalvocabularymt > c_translation_21 > c_transitivebinarypredicate > c_tptpcol_16_25972 > c_tptp_8_271 > c_theprototypicalshavingrazor_manual > c_shavingrazor_manual > c_relationexistsallfn > c_machinelearningspindleheadmt > c_genlmt > c_cycorpproductsmt > c_cycnounlearnermt > c_contentmtofcdafromeventfn > c_basekb

%Foreground sorts:

%Background operators:

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

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(c_urlfn,type,
    c_urlfn: $i ).

tff(n_4,type,
    n_4: $i ).

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

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

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

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

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

tff(c_tptpcol_16_25972,type,
    c_tptpcol_16_25972: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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(c_translation_21,type,
    c_translation_21: $i ).

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

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

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

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

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

tff(tptpcol_5_24579,type,
    tptpcol_5_24579: $i > $o ).

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

tff(c_tptp_8_271,type,
    c_tptp_8_271: $i ).

tff(tptp_8_271,type,
    tptp_8_271: ( $i * $i ) > $o ).

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

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

tff(tptpcol_16_25972,type,
    tptpcol_16_25972: $i > $o ).

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

tff(f_61,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

tff(f_162,axiom,
    ! [X] :
      ( shavingrazor_manual(X)
     => isa(X,c_shavingrazor_manual) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

tff(f_59,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

tff(f_46,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( isa(TERM,INDEPCOL)
        & relationexistsall(PRED,DEPCOL,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

tff(f_167,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_25972)
     => tptpcol_16_25972(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

tff(f_58,axiom,
    ! [TERM] :
      ( shavingrazor_manual(TERM)
     => tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

tff(f_318,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
       => ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
          & tptpcol_16_25972(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query66) ).

tff(c_22,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_62,plain,
    ! [X_48] :
      ( isa(X_48,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X_48) ),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_20,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_1218,plain,
    ! [TERM_366,PRED_367,DEPCOL_368,INDEPCOL_369] :
      ( isa(f_relationexistsallfn(TERM_366,PRED_367,DEPCOL_368,INDEPCOL_369),DEPCOL_368)
      | ~ relationexistsall(PRED_367,DEPCOL_368,INDEPCOL_369)
      | ~ isa(TERM_366,INDEPCOL_369) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_64,plain,
    ! [X_49] :
      ( tptpcol_16_25972(X_49)
      | ~ isa(X_49,c_tptpcol_16_25972) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_1595,plain,
    ! [TERM_380,PRED_381,INDEPCOL_382] :
      ( tptpcol_16_25972(f_relationexistsallfn(TERM_380,PRED_381,c_tptpcol_16_25972,INDEPCOL_382))
      | ~ relationexistsall(PRED_381,c_tptpcol_16_25972,INDEPCOL_382)
      | ~ isa(TERM_380,INDEPCOL_382) ),
    inference(resolution,[status(thm)],[c_1218,c_64]) ).

tff(c_896,plain,
    ! [TERM_328] :
      ( tptp_8_271(f_relationexistsallfn(TERM_328,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM_328)
      | ~ shavingrazor_manual(TERM_328) ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_150,plain,
    ! [X_134] :
      ( ~ tptpcol_16_25972(X_134)
      | ~ tptp_8_271(X_134,c_theprototypicalshavingrazor_manual) ),
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_906,plain,
    ( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
    | ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual) ),
    inference(resolution,[status(thm)],[c_896,c_150]) ).

tff(c_911,plain,
    ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_906]) ).

tff(c_1598,plain,
    ( ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
    | ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ),
    inference(resolution,[status(thm)],[c_1595,c_911]) ).

tff(c_1604,plain,
    ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_1598]) ).

tff(c_1609,plain,
    ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(resolution,[status(thm)],[c_62,c_1604]) ).

tff(c_1613,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_1609]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : CSR066+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 20:56:24 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 5.78/2.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.78/2.32  
% 5.78/2.32  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.90/2.35  
% 5.90/2.35  Inference rules
% 5.90/2.35  ----------------------
% 5.90/2.35  #Ref     : 0
% 5.90/2.35  #Sup     : 292
% 5.90/2.35  #Fact    : 0
% 5.90/2.35  #Define  : 0
% 5.90/2.35  #Split   : 16
% 5.90/2.35  #Chain   : 0
% 5.90/2.35  #Close   : 0
% 5.90/2.35  
% 5.90/2.35  Ordering : KBO
% 5.90/2.35  
% 5.90/2.35  Simplification rules
% 5.90/2.35  ----------------------
% 5.90/2.35  #Subsume      : 47
% 5.90/2.35  #Demod        : 190
% 5.90/2.35  #Tautology    : 150
% 5.90/2.35  #SimpNegUnit  : 13
% 5.90/2.35  #BackRed      : 11
% 5.90/2.35  
% 5.90/2.35  #Partial instantiations: 0
% 5.90/2.35  #Strategies tried      : 1
% 5.90/2.35  
% 5.90/2.35  Timing (in seconds)
% 5.90/2.35  ----------------------
% 5.90/2.36  Preprocessing        : 0.58
% 5.90/2.36  Parsing              : 0.33
% 5.90/2.36  CNF conversion       : 0.04
% 5.90/2.36  Main loop            : 0.68
% 5.90/2.36  Inferencing          : 0.26
% 5.90/2.36  Reduction            : 0.21
% 5.90/2.36  Demodulation         : 0.15
% 5.90/2.36  BG Simplification    : 0.03
% 5.90/2.36  Subsumption          : 0.12
% 5.90/2.36  Abstraction          : 0.02
% 5.90/2.36  MUC search           : 0.00
% 5.90/2.36  Cooper               : 0.00
% 5.90/2.36  Total                : 1.31
% 5.90/2.36  Index Insertion      : 0.00
% 5.90/2.36  Index Deletion       : 0.00
% 5.90/2.36  Index Matching       : 0.00
% 5.90/2.36  BG Taut test         : 0.00
%------------------------------------------------------------------------------