TSTP Solution File: NLP208+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP208+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n020.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 10:50:36 EDT 2023

% Result   : Theorem 6.84s 2.44s
% Output   : CNFRefutation 7.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  121 (  11 unt;  88 typ;   0 def)
%            Number of atoms       :  101 (   3 equ)
%            Maximal formula atoms :   48 (   3 avg)
%            Number of connectives :   86 (  18   ~;  12   |;  42   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  162 (  77   >;  85   *;   0   +;   0  <<)
%            Number of predicates  :   73 (  71 usr;   1 prp; 0-4 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-4 aty)
%            Number of variables   :   65 (;  51   !;  14   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ be > patient > of > member > in > down > behind > agent > young > white > wheel > wear > way > vehicle > unisex > two > transport > thing > street > state > specific > singleton > set > seat > relname > relation > present > placename > organism > old > object > nonreflexive > nonliving > nonhuman > nonexistent > multiple > man > male > lonely > location > living > jules_forename > instrumentality > impartial > human_person > human > hollywood_placename > group > general > furniture > frontseat > forename > fellow > existent > eventuality > event > entity > dirty > device > coat > clothes > city > chevy > cheap > car > black > barrel > artifact > animate > abstraction > actual_world > #nlpp > #skF_16 > #skF_11 > #skF_17 > #skF_7 > #skF_3 > #skF_10 > #skF_15 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_9 > #skF_8 > #skF_4 > #skF_2 > #skF_1 > #skF_12

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

tff('#skF_16',type,
    '#skF_16': $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_11',type,
    '#skF_11': $i ).

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

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

tff('#skF_17',type,
    '#skF_17': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

tff('#skF_7',type,
    '#skF_7': $i ).

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

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

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

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

tff('#skF_10',type,
    '#skF_10': $i ).

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

tff('#skF_15',type,
    '#skF_15': $i > $i ).

tff('#skF_14',type,
    '#skF_14': $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

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

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

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

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

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

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

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

tff('#skF_6',type,
    '#skF_6': $i ).

tff('#skF_13',type,
    '#skF_13': $i ).

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

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

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

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

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

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

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

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

tff('#skF_9',type,
    '#skF_9': $i ).

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

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

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

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

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

tff('#skF_8',type,
    '#skF_8': $i ).

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

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

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

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

tff('#skF_4',type,
    '#skF_4': $i ).

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

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

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_1',type,
    '#skF_1': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_12',type,
    '#skF_12': $i ).

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

tff(f_468,negated_conjecture,
    ~ ~ ? [U] :
          ( actual_world(U)
          & ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
              ( of(U,W,V)
              & man(U,V)
              & jules_forename(U,W)
              & forename(U,W)
              & frontseat(U,Z)
              & chevy(U,X)
              & white(U,X)
              & dirty(U,X)
              & old(U,X)
              & of(U,Y,Z)
              & city(U,Z)
              & hollywood_placename(U,Y)
              & placename(U,Y)
              & street(U,Z)
              & lonely(U,Z)
              & event(U,X1)
              & agent(U,X1,X)
              & present(U,X1)
              & barrel(U,X1)
              & down(U,X1,Z)
              & in(U,X1,Z)
              & ! [X6] :
                  ( member(U,X6,X2)
                 => ? [X7,X8] :
                      ( state(U,X7)
                      & be(U,X7,X6,X8)
                      & in(U,X8,Z) ) )
              & two(U,X2)
              & group(U,X2)
              & ! [X9] :
                  ( member(U,X9,X2)
                 => ( fellow(U,X9)
                    & young(U,X9) ) )
              & ! [X10] :
                  ( member(U,X10,X3)
                 => ! [X11] :
                      ( member(U,X11,X2)
                     => ? [X12] :
                          ( event(U,X12)
                          & agent(U,X12,X11)
                          & patient(U,X12,X10)
                          & present(U,X12)
                          & nonreflexive(U,X12)
                          & wear(U,X12) ) ) )
              & group(U,X3)
              & ! [X13] :
                  ( member(U,X13,X3)
                 => ( coat(U,X13)
                    & black(U,X13)
                    & cheap(U,X13) ) )
              & wheel(U,X5)
              & state(U,X4)
              & be(U,X4,V,X5)
              & behind(U,X5,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f_152,axiom,
    ! [U,V] :
      ( man(U,V)
     => human_person(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

tff(f_128,axiom,
    ! [U,V] :
      ( human_person(U,V)
     => animate(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

tff(f_362,axiom,
    ! [U,V,W,X] :
      ( be(U,V,W,X)
     => ( W = X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

tff(f_220,axiom,
    ! [U,V] :
      ( wheel(U,V)
     => device(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

tff(f_216,axiom,
    ! [U,V] :
      ( device(U,V)
     => instrumentality(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

tff(f_212,axiom,
    ! [U,V] :
      ( instrumentality(U,V)
     => artifact(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

tff(f_208,axiom,
    ! [U,V] :
      ( artifact(U,V)
     => object(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

tff(f_188,axiom,
    ! [U,V] :
      ( object(U,V)
     => nonliving(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

tff(f_257,axiom,
    ! [U,V] :
      ( animate(U,V)
     => ~ nonliving(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

tff(c_208,plain,
    man('#skF_4','#skF_5'),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_357,plain,
    ! [U_328,V_329] :
      ( human_person(U_328,V_329)
      | ~ man(U_328,V_329) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_365,plain,
    human_person('#skF_4','#skF_5'),
    inference(resolution,[status(thm)],[c_208,c_357]) ).

tff(c_50,plain,
    ! [U_49,V_50] :
      ( animate(U_49,V_50)
      | ~ human_person(U_49,V_50) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_369,plain,
    animate('#skF_4','#skF_5'),
    inference(resolution,[status(thm)],[c_365,c_50]) ).

tff(c_158,plain,
    be('#skF_4','#skF_13','#skF_5','#skF_14'),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_504,plain,
    ! [X_387,W_388,U_389,V_390] :
      ( ( X_387 = W_388 )
      | ~ be(U_389,V_390,W_388,X_387) ),
    inference(cnfTransformation,[status(thm)],[f_362]) ).

tff(c_512,plain,
    '#skF_14' = '#skF_5',
    inference(resolution,[status(thm)],[c_158,c_504]) ).

tff(c_162,plain,
    wheel('#skF_4','#skF_14'),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_330,plain,
    ! [U_315,V_316] :
      ( device(U_315,V_316)
      | ~ wheel(U_315,V_316) ),
    inference(cnfTransformation,[status(thm)],[f_220]) ).

tff(c_334,plain,
    device('#skF_4','#skF_14'),
    inference(resolution,[status(thm)],[c_162,c_330]) ).

tff(c_513,plain,
    device('#skF_4','#skF_5'),
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_334]) ).

tff(c_439,plain,
    ! [U_362,V_363] :
      ( instrumentality(U_362,V_363)
      | ~ device(U_362,V_363) ),
    inference(cnfTransformation,[status(thm)],[f_216]) ).

tff(c_92,plain,
    ! [U_91,V_92] :
      ( artifact(U_91,V_92)
      | ~ instrumentality(U_91,V_92) ),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_609,plain,
    ! [U_417,V_418] :
      ( artifact(U_417,V_418)
      | ~ device(U_417,V_418) ),
    inference(resolution,[status(thm)],[c_439,c_92]) ).

tff(c_613,plain,
    artifact('#skF_4','#skF_5'),
    inference(resolution,[status(thm)],[c_513,c_609]) ).

tff(c_472,plain,
    ! [U_379,V_380] :
      ( object(U_379,V_380)
      | ~ artifact(U_379,V_380) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_80,plain,
    ! [U_79,V_80] :
      ( nonliving(U_79,V_80)
      | ~ object(U_79,V_80) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_675,plain,
    ! [U_435,V_436] :
      ( nonliving(U_435,V_436)
      | ~ artifact(U_435,V_436) ),
    inference(resolution,[status(thm)],[c_472,c_80]) ).

tff(c_114,plain,
    ! [U_113,V_114] :
      ( ~ nonliving(U_113,V_114)
      | ~ animate(U_113,V_114) ),
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_778,plain,
    ! [U_469,V_470] :
      ( ~ animate(U_469,V_470)
      | ~ artifact(U_469,V_470) ),
    inference(resolution,[status(thm)],[c_675,c_114]) ).

tff(c_784,plain,
    ~ animate('#skF_4','#skF_5'),
    inference(resolution,[status(thm)],[c_613,c_778]) ).

tff(c_789,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_369,c_784]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP208+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n020.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
% 0.15/0.36  % DateTime : Thu Aug  3 13:03:52 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 6.84/2.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.84/2.45  
% 6.84/2.45  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.04/2.51  
% 7.04/2.51  Inference rules
% 7.04/2.51  ----------------------
% 7.04/2.51  #Ref     : 0
% 7.04/2.51  #Sup     : 100
% 7.04/2.51  #Fact    : 0
% 7.04/2.51  #Define  : 0
% 7.04/2.51  #Split   : 0
% 7.04/2.51  #Chain   : 0
% 7.04/2.51  #Close   : 0
% 7.04/2.51  
% 7.04/2.51  Ordering : KBO
% 7.04/2.51  
% 7.04/2.51  Simplification rules
% 7.04/2.51  ----------------------
% 7.04/2.51  #Subsume      : 1
% 7.04/2.51  #Demod        : 15
% 7.04/2.51  #Tautology    : 6
% 7.04/2.51  #SimpNegUnit  : 0
% 7.04/2.51  #BackRed      : 4
% 7.04/2.51  
% 7.04/2.51  #Partial instantiations: 0
% 7.04/2.51  #Strategies tried      : 1
% 7.04/2.51  
% 7.04/2.51  Timing (in seconds)
% 7.04/2.51  ----------------------
% 7.04/2.52  Preprocessing        : 0.74
% 7.04/2.52  Parsing              : 0.39
% 7.04/2.52  CNF conversion       : 0.06
% 7.04/2.52  Main loop            : 0.66
% 7.04/2.52  Inferencing          : 0.25
% 7.04/2.52  Reduction            : 0.19
% 7.04/2.52  Demodulation         : 0.12
% 7.04/2.52  BG Simplification    : 0.04
% 7.04/2.52  Subsumption          : 0.12
% 7.04/2.52  Abstraction          : 0.02
% 7.04/2.52  MUC search           : 0.00
% 7.04/2.52  Cooper               : 0.00
% 7.04/2.52  Total                : 1.49
% 7.04/2.52  Index Insertion      : 0.00
% 7.04/2.52  Index Deletion       : 0.00
% 7.04/2.52  Index Matching       : 0.00
% 7.04/2.52  BG Taut test         : 0.00
%------------------------------------------------------------------------------