TSTP Solution File: NLP143-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP143-1 : 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 : n029.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 10:50:25 EDT 2023

% Result   : Unsatisfiable 5.17s 2.35s
% Output   : CNFRefutation 6.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  126 (  13 unt;  70 typ;   0 def)
%            Number of atoms       :   99 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   93 (  50   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  134 (  64   >;  70   *;   0   +;   0  <<)
%            Number of predicates  :   61 (  59 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :   85 (;  85   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ be > of > member > in > down > agent > young > white > way > vehicle > unisex > two > transport > thing > street > state > specific > singleton > set > seat > relname > relation > present > placename > organism > old > object > nonliving > nonhuman > nonexistent > multiple > man > male > lonely > location > living > instrumentality > impartial > human_person > human > hollywood_placename > group > general > furniture > frontseat > fellow > existent > eventuality > event > entity > dirty > city > chevy > car > barrel > artifact > animate > abstraction > actual_world > skf11 > skf8 > skf10 > #nlpp > skf6 > skf5 > skc7 > skc6 > skc13 > skc12 > skc11 > skc10

%Foreground sorts:

%Background operators:

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

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

tff(skc7,type,
    skc7: $i ).

tff(skf11,type,
    skf11: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

tff(lonely,type,
    lonely: ( $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(skf5,type,
    skf5: $i > $i ).

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

tff(down,type,
    down: ( $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(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(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(skc6,type,
    skc6: $i ).

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

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

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

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

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

tff(skc10,type,
    skc10: $i ).

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

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

tff(f_412,axiom,
    two(skc6,skc7),
    file(unknown,unknown) ).

tff(f_335,axiom,
    ! [U,V] :
      ( ~ two(U,V)
      | member(U,skf8(V,U),V) ),
    file(unknown,unknown) ).

tff(f_435,axiom,
    ! [U] :
      ( ~ member(skc6,U,skc7)
      | fellow(skc6,U) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [U,V] :
      ( ~ fellow(U,V)
      | man(U,V) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [U,V] :
      ( ~ man(U,V)
      | human_person(U,V) ),
    file(unknown,unknown) ).

tff(f_87,axiom,
    ! [U,V] :
      ( ~ human_person(U,V)
      | animate(U,V) ),
    file(unknown,unknown) ).

tff(f_455,axiom,
    ! [U] :
      ( ~ member(skc6,U,skc7)
      | be(skc6,skf6(U),U,skf5(U)) ),
    file(unknown,unknown) ).

tff(f_325,axiom,
    ! [U,V,W,X] :
      ( ~ be(U,V,W,X)
      | ( W = X ) ),
    file(unknown,unknown) ).

tff(f_330,axiom,
    ! [U,V] :
      ( ~ two(U,V)
      | member(U,skf10(V,U),V) ),
    file(unknown,unknown) ).

tff(f_440,axiom,
    ! [U,V] :
      ( ~ member(skc6,U,skc7)
      | frontseat(skc6,skf5(V)) ),
    file(unknown,unknown) ).

tff(f_262,axiom,
    ! [U,V] :
      ( ~ frontseat(U,V)
      | seat(U,V) ),
    file(unknown,unknown) ).

tff(f_267,axiom,
    ! [U,V] :
      ( ~ seat(U,V)
      | furniture(U,V) ),
    file(unknown,unknown) ).

tff(f_272,axiom,
    ! [U,V] :
      ( ~ furniture(U,V)
      | instrumentality(U,V) ),
    file(unknown,unknown) ).

tff(f_172,axiom,
    ! [U,V] :
      ( ~ instrumentality(U,V)
      | artifact(U,V) ),
    file(unknown,unknown) ).

tff(f_177,axiom,
    ! [U,V] :
      ( ~ artifact(U,V)
      | object(U,V) ),
    file(unknown,unknown) ).

tff(f_187,axiom,
    ! [U,V] :
      ( ~ object(U,V)
      | nonliving(U,V) ),
    file(unknown,unknown) ).

tff(f_320,axiom,
    ! [U,V] :
      ( ~ nonliving(U,V)
      | ~ animate(U,V) ),
    file(unknown,unknown) ).

tff(c_146,plain,
    two(skc6,skc7),
    inference(cnfTransformation,[status(thm)],[f_412]) ).

tff(c_554,plain,
    ! [U_358,V_359] :
      ( member(U_358,skf8(V_359,U_358),V_359)
      | ~ two(U_358,V_359) ),
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_176,plain,
    ! [U_152] :
      ( fellow(skc6,U_152)
      | ~ member(skc6,U_152,skc7) ),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_558,plain,
    ( fellow(skc6,skf8(skc7,skc6))
    | ~ two(skc6,skc7) ),
    inference(resolution,[status(thm)],[c_554,c_176]) ).

tff(c_565,plain,
    fellow(skc6,skf8(skc7,skc6)),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_558]) ).

tff(c_4,plain,
    ! [U_3,V_4] :
      ( man(U_3,V_4)
      | ~ fellow(U_3,V_4) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_335,plain,
    ! [U_266,V_267] :
      ( human_person(U_266,V_267)
      | ~ man(U_266,V_267) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_522,plain,
    ! [U_354,V_355] :
      ( human_person(U_354,V_355)
      | ~ fellow(U_354,V_355) ),
    inference(resolution,[status(thm)],[c_4,c_335]) ).

tff(c_26,plain,
    ! [U_25,V_26] :
      ( animate(U_25,V_26)
      | ~ human_person(U_25,V_26) ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_687,plain,
    ! [U_402,V_403] :
      ( animate(U_402,V_403)
      | ~ fellow(U_402,V_403) ),
    inference(resolution,[status(thm)],[c_522,c_26]) ).

tff(c_694,plain,
    animate(skc6,skf8(skc7,skc6)),
    inference(resolution,[status(thm)],[c_565,c_687]) ).

tff(c_122,plain,
    ! [U_123,V_124] :
      ( member(U_123,skf8(V_124,U_123),V_124)
      | ~ two(U_123,V_124) ),
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_633,plain,
    ! [U_378] :
      ( be(skc6,skf6(U_378),U_378,skf5(U_378))
      | ~ member(skc6,U_378,skc7) ),
    inference(cnfTransformation,[status(thm)],[f_455]) ).

tff(c_118,plain,
    ! [X_120,W_119,U_117,V_118] :
      ( ( X_120 = W_119 )
      | ~ be(U_117,V_118,W_119,X_120) ),
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_786,plain,
    ! [U_437] :
      ( ( skf5(U_437) = U_437 )
      | ~ member(skc6,U_437,skc7) ),
    inference(resolution,[status(thm)],[c_633,c_118]) ).

tff(c_794,plain,
    ( ( skf5(skf8(skc7,skc6)) = skf8(skc7,skc6) )
    | ~ two(skc6,skc7) ),
    inference(resolution,[status(thm)],[c_122,c_786]) ).

tff(c_803,plain,
    skf5(skf8(skc7,skc6)) = skf8(skc7,skc6),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_794]) ).

tff(c_461,plain,
    ! [U_331,V_332] :
      ( member(U_331,skf10(V_332,U_331),V_332)
      | ~ two(U_331,V_332) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_178,plain,
    ! [V_154,U_153] :
      ( frontseat(skc6,skf5(V_154))
      | ~ member(skc6,U_153,skc7) ),
    inference(cnfTransformation,[status(thm)],[f_440]) ).

tff(c_417,plain,
    ! [U_153] : ~ member(skc6,U_153,skc7),
    inference(splitLeft,[status(thm)],[c_178]) ).

tff(c_465,plain,
    ~ two(skc6,skc7),
    inference(resolution,[status(thm)],[c_461,c_417]) ).

tff(c_469,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_465]) ).

tff(c_470,plain,
    ! [V_154] : frontseat(skc6,skf5(V_154)),
    inference(splitRight,[status(thm)],[c_178]) ).

tff(c_96,plain,
    ! [U_95,V_96] :
      ( seat(U_95,V_96)
      | ~ frontseat(U_95,V_96) ),
    inference(cnfTransformation,[status(thm)],[f_262]) ).

tff(c_319,plain,
    ! [U_258,V_259] :
      ( furniture(U_258,V_259)
      | ~ seat(U_258,V_259) ),
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_323,plain,
    ! [U_95,V_96] :
      ( furniture(U_95,V_96)
      | ~ frontseat(U_95,V_96) ),
    inference(resolution,[status(thm)],[c_96,c_319]) ).

tff(c_100,plain,
    ! [U_99,V_100] :
      ( instrumentality(U_99,V_100)
      | ~ furniture(U_99,V_100) ),
    inference(cnfTransformation,[status(thm)],[f_272]) ).

tff(c_355,plain,
    ! [U_274,V_275] :
      ( artifact(U_274,V_275)
      | ~ instrumentality(U_274,V_275) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_401,plain,
    ! [U_302,V_303] :
      ( artifact(U_302,V_303)
      | ~ furniture(U_302,V_303) ),
    inference(resolution,[status(thm)],[c_100,c_355]) ).

tff(c_669,plain,
    ! [U_390,V_391] :
      ( artifact(U_390,V_391)
      | ~ frontseat(U_390,V_391) ),
    inference(resolution,[status(thm)],[c_323,c_401]) ).

tff(c_673,plain,
    ! [V_154] : artifact(skc6,skf5(V_154)),
    inference(resolution,[status(thm)],[c_470,c_669]) ).

tff(c_62,plain,
    ! [U_61,V_62] :
      ( object(U_61,V_62)
      | ~ artifact(U_61,V_62) ),
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_219,plain,
    ! [U_196,V_197] :
      ( nonliving(U_196,V_197)
      | ~ object(U_196,V_197) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_407,plain,
    ! [U_306,V_307] :
      ( nonliving(U_306,V_307)
      | ~ artifact(U_306,V_307) ),
    inference(resolution,[status(thm)],[c_62,c_219]) ).

tff(c_116,plain,
    ! [U_115,V_116] :
      ( ~ animate(U_115,V_116)
      | ~ nonliving(U_115,V_116) ),
    inference(cnfTransformation,[status(thm)],[f_320]) ).

tff(c_777,plain,
    ! [U_435,V_436] :
      ( ~ animate(U_435,V_436)
      | ~ artifact(U_435,V_436) ),
    inference(resolution,[status(thm)],[c_407,c_116]) ).

tff(c_784,plain,
    ! [V_154] : ~ animate(skc6,skf5(V_154)),
    inference(resolution,[status(thm)],[c_673,c_777]) ).

tff(c_1015,plain,
    ~ animate(skc6,skf8(skc7,skc6)),
    inference(superposition,[status(thm),theory(equality)],[c_803,c_784]) ).

tff(c_1033,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_1015]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP143-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % 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 : n029.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 13:18:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 5.17/2.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.17/2.35  
% 5.17/2.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.08/2.39  
% 6.08/2.39  Inference rules
% 6.08/2.39  ----------------------
% 6.08/2.39  #Ref     : 0
% 6.08/2.39  #Sup     : 163
% 6.08/2.39  #Fact    : 0
% 6.08/2.39  #Define  : 0
% 6.08/2.39  #Split   : 4
% 6.08/2.39  #Chain   : 0
% 6.08/2.39  #Close   : 0
% 6.08/2.39  
% 6.08/2.39  Ordering : KBO
% 6.08/2.39  
% 6.08/2.39  Simplification rules
% 6.08/2.39  ----------------------
% 6.08/2.39  #Subsume      : 14
% 6.08/2.39  #Demod        : 18
% 6.08/2.39  #Tautology    : 16
% 6.08/2.39  #SimpNegUnit  : 0
% 6.08/2.39  #BackRed      : 0
% 6.08/2.39  
% 6.08/2.39  #Partial instantiations: 0
% 6.08/2.39  #Strategies tried      : 1
% 6.08/2.39  
% 6.08/2.39  Timing (in seconds)
% 6.08/2.39  ----------------------
% 6.08/2.39  Preprocessing        : 0.63
% 6.08/2.39  Parsing              : 0.33
% 6.08/2.39  CNF conversion       : 0.05
% 6.08/2.39  Main loop            : 0.71
% 6.08/2.40  Inferencing          : 0.29
% 6.08/2.40  Reduction            : 0.18
% 6.08/2.40  Demodulation         : 0.11
% 6.08/2.40  BG Simplification    : 0.04
% 6.08/2.40  Subsumption          : 0.14
% 6.08/2.40  Abstraction          : 0.02
% 6.08/2.40  MUC search           : 0.00
% 6.08/2.40  Cooper               : 0.00
% 6.08/2.40  Total                : 1.40
% 6.08/2.40  Index Insertion      : 0.00
% 6.08/2.40  Index Deletion       : 0.00
% 6.08/2.40  Index Matching       : 0.00
% 6.08/2.40  BG Taut test         : 0.00
%------------------------------------------------------------------------------