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 : n021.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   : Unsatisfiable 6.63s 2.56s
% Output   : CNFRefutation 6.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  120 (  13 unt;  88 typ;   0 def)
%            Number of atoms       :   51 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   43 (  24   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   42 (;  42   !;   0   ?;   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 > skf13 > skf8 > skf12 > skf10 > #nlpp > skf7 > skf6 > skc23 > skc20 > skc19 > skc18 > skc17 > skc16 > skc15 > skc14 > skc13 > skc12 > skc11

%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(skc16,type,
    skc16: $i ).

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

tff(skf10,type,
    skf10: ( $i * $i ) > $i ).

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(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(skc11,type,
    skc11: $i ).

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(skc18,type,
    skc18: $i ).

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

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

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

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

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

tff(skc14,type,
    skc14: $i ).

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

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

tff(skc17,type,
    skc17: $i ).

tff(skc13,type,
    skc13: $i ).

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

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

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

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

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

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

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

tff(skc20,type,
    skc20: $i ).

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

tff(skc23,type,
    skc23: $i ).

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

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

tff(skf7,type,
    skf7: $i > $i ).

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

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

tff(skf6,type,
    skf6: $i > $i ).

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

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

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

tff(skf8,type,
    skf8: ( $i * $i ) > $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(skc15,type,
    skc15: $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(unisex,type,
    unisex: ( $i * $i ) > $o ).

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

tff(skf12,type,
    skf12: ( $i * $i ) > $i ).

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

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

tff(skf13,type,
    skf13: ( $i * $i * $i * $i ) > $i ).

tff(skc12,type,
    skc12: $i ).

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

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

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

tff(skc19,type,
    skc19: $i ).

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

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

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

tff(f_495,axiom,
    wheel(skc11,skc12),
    file(unknown,unknown) ).

tff(f_73,axiom,
    ! [U,V] :
      ( ~ wheel(U,V)
      | device(U,V) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    ! [U,V] :
      ( ~ device(U,V)
      | instrumentality(U,V) ),
    file(unknown,unknown) ).

tff(f_83,axiom,
    ! [U,V] :
      ( ~ instrumentality(U,V)
      | artifact(U,V) ),
    file(unknown,unknown) ).

tff(f_503,axiom,
    be(skc11,skc13,skc15,skc12),
    file(unknown,unknown) ).

tff(f_367,axiom,
    ! [U,V,W,X] :
      ( ~ be(U,V,W,X)
      | ( W = X ) ),
    file(unknown,unknown) ).

tff(f_491,axiom,
    man(skc11,skc15),
    file(unknown,unknown) ).

tff(f_193,axiom,
    ! [U,V] :
      ( ~ man(U,V)
      | male(U,V) ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ! [U,V] :
      ( ~ artifact(U,V)
      | object(U,V) ),
    file(unknown,unknown) ).

tff(f_123,axiom,
    ! [U,V] :
      ( ~ object(U,V)
      | unisex(U,V) ),
    file(unknown,unknown) ).

tff(f_326,axiom,
    ! [U,V] :
      ( ~ male(U,V)
      | ~ unisex(U,V) ),
    file(unknown,unknown) ).

tff(c_196,plain,
    wheel(skc11,skc12),
    inference(cnfTransformation,[status(thm)],[f_495]) ).

tff(c_277,plain,
    ! [U_245,V_246] :
      ( device(U_245,V_246)
      | ~ wheel(U_245,V_246) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_281,plain,
    device(skc11,skc12),
    inference(resolution,[status(thm)],[c_196,c_277]) ).

tff(c_22,plain,
    ! [U_21,V_22] :
      ( instrumentality(U_21,V_22)
      | ~ device(U_21,V_22) ),
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_423,plain,
    ! [U_319,V_320] :
      ( artifact(U_319,V_320)
      | ~ instrumentality(U_319,V_320) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_521,plain,
    ! [U_365,V_366] :
      ( artifact(U_365,V_366)
      | ~ device(U_365,V_366) ),
    inference(resolution,[status(thm)],[c_22,c_423]) ).

tff(c_525,plain,
    artifact(skc11,skc12),
    inference(resolution,[status(thm)],[c_281,c_521]) ).

tff(c_212,plain,
    be(skc11,skc13,skc15,skc12),
    inference(cnfTransformation,[status(thm)],[f_503]) ).

tff(c_547,plain,
    ! [X_376,W_377,U_378,V_379] :
      ( ( X_376 = W_377 )
      | ~ be(U_378,V_379,W_377,X_376) ),
    inference(cnfTransformation,[status(thm)],[f_367]) ).

tff(c_551,plain,
    skc15 = skc12,
    inference(resolution,[status(thm)],[c_212,c_547]) ).

tff(c_188,plain,
    man(skc11,skc15),
    inference(cnfTransformation,[status(thm)],[f_491]) ).

tff(c_256,plain,
    ! [U_227,V_228] :
      ( male(U_227,V_228)
      | ~ man(U_227,V_228) ),
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_260,plain,
    male(skc11,skc15),
    inference(resolution,[status(thm)],[c_188,c_256]) ).

tff(c_557,plain,
    male(skc11,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_551,c_260]) ).

tff(c_26,plain,
    ! [U_25,V_26] :
      ( object(U_25,V_26)
      | ~ artifact(U_25,V_26) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_368,plain,
    ! [U_297,V_298] :
      ( unisex(U_297,V_298)
      | ~ object(U_297,V_298) ),
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_120,plain,
    ! [U_119,V_120] :
      ( ~ unisex(U_119,V_120)
      | ~ male(U_119,V_120) ),
    inference(cnfTransformation,[status(thm)],[f_326]) ).

tff(c_526,plain,
    ! [U_367,V_368] :
      ( ~ male(U_367,V_368)
      | ~ object(U_367,V_368) ),
    inference(resolution,[status(thm)],[c_368,c_120]) ).

tff(c_1083,plain,
    ! [U_485,V_486] :
      ( ~ male(U_485,V_486)
      | ~ artifact(U_485,V_486) ),
    inference(resolution,[status(thm)],[c_26,c_526]) ).

tff(c_1089,plain,
    ~ artifact(skc11,skc12),
    inference(resolution,[status(thm)],[c_557,c_1083]) ).

tff(c_1094,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_525,c_1089]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NLP208-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % 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
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 13:01:51 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 6.63/2.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.74/2.57  
% 6.74/2.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.74/2.61  
% 6.74/2.61  Inference rules
% 6.74/2.61  ----------------------
% 6.74/2.61  #Ref     : 0
% 6.74/2.61  #Sup     : 159
% 6.74/2.61  #Fact    : 0
% 6.74/2.61  #Define  : 0
% 6.74/2.61  #Split   : 5
% 6.74/2.61  #Chain   : 0
% 6.74/2.61  #Close   : 0
% 6.74/2.61  
% 6.74/2.61  Ordering : KBO
% 6.74/2.61  
% 6.74/2.61  Simplification rules
% 6.74/2.61  ----------------------
% 6.74/2.61  #Subsume      : 26
% 6.74/2.61  #Demod        : 37
% 6.74/2.61  #Tautology    : 22
% 6.74/2.61  #SimpNegUnit  : 0
% 6.74/2.61  #BackRed      : 9
% 6.74/2.61  
% 6.74/2.61  #Partial instantiations: 0
% 6.74/2.61  #Strategies tried      : 1
% 6.74/2.61  
% 6.74/2.61  Timing (in seconds)
% 6.74/2.61  ----------------------
% 6.74/2.61  Preprocessing        : 0.67
% 6.74/2.61  Parsing              : 0.36
% 6.74/2.61  CNF conversion       : 0.05
% 6.74/2.61  Main loop            : 0.78
% 6.74/2.61  Inferencing          : 0.30
% 6.74/2.61  Reduction            : 0.22
% 6.74/2.61  Demodulation         : 0.14
% 6.74/2.61  BG Simplification    : 0.05
% 6.74/2.61  Subsumption          : 0.16
% 6.74/2.61  Abstraction          : 0.02
% 6.74/2.61  MUC search           : 0.00
% 6.74/2.61  Cooper               : 0.00
% 6.74/2.61  Total                : 1.51
% 6.74/2.61  Index Insertion      : 0.00
% 6.74/2.61  Index Deletion       : 0.00
% 6.74/2.61  Index Matching       : 0.00
% 6.74/2.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------