TSTP Solution File: NLP149+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP149+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 : n012.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 10:50:27 EDT 2023

% Result   : Theorem 6.91s 2.71s
% Output   : CNFRefutation 7.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   83
% Syntax   : Number of formulae    :  121 (  11 unt;  70 typ;   0 def)
%            Number of atoms       :  121 (   8 equ)
%            Maximal formula atoms :   27 (   2 avg)
%            Number of connectives :  106 (  36   ~;  28   |;  27   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 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 (;  75   !;  10   ?;   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 > #nlpp > #skF_7 > #skF_3 > #skF_5 > #skF_10 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_11 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

tff(f_364,negated_conjecture,
    ~ ~ ? [U] :
          ( actual_world(U)
          & ? [V,W,X,Y,Z] :
              ( of(U,V,W)
              & city(U,W)
              & hollywood_placename(U,V)
              & placename(U,V)
              & street(U,W)
              & lonely(U,W)
              & chevy(U,X)
              & white(U,X)
              & dirty(U,X)
              & old(U,X)
              & event(U,Y)
              & agent(U,Y,X)
              & present(U,Y)
              & barrel(U,Y)
              & down(U,Y,W)
              & in(U,Y,W)
              & ! [X1] :
                  ( member(U,X1,Z)
                 => ? [X2,X3] :
                      ( frontseat(U,X3)
                      & state(U,X2)
                      & be(U,X2,X1,X3)
                      & in(U,X3,X3) ) )
              & two(U,Z)
              & group(U,Z)
              & ! [X4] :
                  ( member(U,X4,Z)
                 => ( fellow(U,X4)
                    & young(U,X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f_300,axiom,
    ! [U,V] :
      ( two(U,V)
    <=> ? [W] :
          ( member(U,W,V)
          & ? [X] :
              ( member(U,X,V)
              & ( X != W )
              & ! [Y] :
                  ( member(U,Y,V)
                 => ( ( Y = X )
                    | ( Y = W ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

tff(f_223,axiom,
    ! [U,V] :
      ( fellow(U,V)
     => man(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

tff(f_219,axiom,
    ! [U,V] :
      ( man(U,V)
     => human_person(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

tff(f_179,axiom,
    ! [U,V] :
      ( human_person(U,V)
     => animate(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

tff(f_282,axiom,
    ! [U,V,W,X] :
      ( be(U,V,W,X)
     => ( W = X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

tff(f_39,axiom,
    ! [U,V] :
      ( frontseat(U,V)
     => seat(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

tff(f_35,axiom,
    ! [U,V] :
      ( seat(U,V)
     => furniture(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f_31,axiom,
    ! [U,V] :
      ( furniture(U,V)
     => instrumentality(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f_111,axiom,
    ! [U,V] :
      ( instrumentality(U,V)
     => artifact(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

tff(f_107,axiom,
    ! [U,V] :
      ( artifact(U,V)
     => object(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

tff(f_99,axiom,
    ! [U,V] :
      ( object(U,V)
     => nonliving(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

tff(f_228,axiom,
    ! [U,V] :
      ( animate(U,V)
     => ~ nonliving(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

tff(c_138,plain,
    two('#skF_4','#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_509,plain,
    ! [U_355,V_356] :
      ( member(U_355,'#skF_3'(U_355,V_356),V_356)
      | ~ two(U_355,V_356) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_176,plain,
    ! [X4_179] :
      ( fellow('#skF_4',X4_179)
      | ~ member('#skF_4',X4_179,'#skF_9') ),
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_517,plain,
    ( fellow('#skF_4','#skF_3'('#skF_4','#skF_9'))
    | ~ two('#skF_4','#skF_9') ),
    inference(resolution,[status(thm)],[c_509,c_176]) ).

tff(c_527,plain,
    fellow('#skF_4','#skF_3'('#skF_4','#skF_9')),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_517]) ).

tff(c_248,plain,
    ! [U_239,V_240] :
      ( man(U_239,V_240)
      | ~ fellow(U_239,V_240) ),
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_96,plain,
    ! [U_95,V_96] :
      ( human_person(U_95,V_96)
      | ~ man(U_95,V_96) ),
    inference(cnfTransformation,[status(thm)],[f_219]) ).

tff(c_405,plain,
    ! [U_318,V_319] :
      ( human_person(U_318,V_319)
      | ~ fellow(U_318,V_319) ),
    inference(resolution,[status(thm)],[c_248,c_96]) ).

tff(c_76,plain,
    ! [U_75,V_76] :
      ( animate(U_75,V_76)
      | ~ human_person(U_75,V_76) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_696,plain,
    ! [U_401,V_402] :
      ( animate(U_401,V_402)
      | ~ fellow(U_401,V_402) ),
    inference(resolution,[status(thm)],[c_405,c_76]) ).

tff(c_703,plain,
    animate('#skF_4','#skF_3'('#skF_4','#skF_9')),
    inference(resolution,[status(thm)],[c_527,c_696]) ).

tff(c_124,plain,
    ! [U_124,V_125] :
      ( member(U_124,'#skF_3'(U_124,V_125),V_125)
      | ~ two(U_124,V_125) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_180,plain,
    ! [X1_176] :
      ( be('#skF_4','#skF_10'(X1_176),X1_176,'#skF_11'(X1_176))
      | ~ member('#skF_4',X1_176,'#skF_9') ),
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_375,plain,
    ! [X_304,W_305,U_306,V_307] :
      ( ( X_304 = W_305 )
      | ~ be(U_306,V_307,W_305,X_304) ),
    inference(cnfTransformation,[status(thm)],[f_282]) ).

tff(c_379,plain,
    ! [X1_176] :
      ( ( '#skF_11'(X1_176) = X1_176 )
      | ~ member('#skF_4',X1_176,'#skF_9') ),
    inference(resolution,[status(thm)],[c_180,c_375]) ).

tff(c_513,plain,
    ( ( '#skF_11'('#skF_3'('#skF_4','#skF_9')) = '#skF_3'('#skF_4','#skF_9') )
    | ~ two('#skF_4','#skF_9') ),
    inference(resolution,[status(thm)],[c_509,c_379]) ).

tff(c_524,plain,
    '#skF_11'('#skF_3'('#skF_4','#skF_9')) = '#skF_3'('#skF_4','#skF_9'),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_513]) ).

tff(c_184,plain,
    ! [X1_176] :
      ( frontseat('#skF_4','#skF_11'(X1_176))
      | ~ member('#skF_4',X1_176,'#skF_9') ),
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_854,plain,
    ( frontseat('#skF_4','#skF_3'('#skF_4','#skF_9'))
    | ~ member('#skF_4','#skF_3'('#skF_4','#skF_9'),'#skF_9') ),
    inference(superposition,[status(thm),theory(equality)],[c_524,c_184]) ).

tff(c_883,plain,
    ~ member('#skF_4','#skF_3'('#skF_4','#skF_9'),'#skF_9'),
    inference(splitLeft,[status(thm)],[c_854]) ).

tff(c_984,plain,
    ~ two('#skF_4','#skF_9'),
    inference(resolution,[status(thm)],[c_124,c_883]) ).

tff(c_988,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_984]) ).

tff(c_989,plain,
    frontseat('#skF_4','#skF_3'('#skF_4','#skF_9')),
    inference(splitRight,[status(thm)],[c_854]) ).

tff(c_6,plain,
    ! [U_5,V_6] :
      ( seat(U_5,V_6)
      | ~ frontseat(U_5,V_6) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_352,plain,
    ! [U_291,V_292] :
      ( furniture(U_291,V_292)
      | ~ seat(U_291,V_292) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_356,plain,
    ! [U_5,V_6] :
      ( furniture(U_5,V_6)
      | ~ frontseat(U_5,V_6) ),
    inference(resolution,[status(thm)],[c_6,c_352]) ).

tff(c_2,plain,
    ! [U_1,V_2] :
      ( instrumentality(U_1,V_2)
      | ~ furniture(U_1,V_2) ),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_278,plain,
    ! [U_264,V_265] :
      ( artifact(U_264,V_265)
      | ~ instrumentality(U_264,V_265) ),
    inference(cnfTransformation,[status(thm)],[f_111]) ).

tff(c_537,plain,
    ! [U_360,V_361] :
      ( artifact(U_360,V_361)
      | ~ furniture(U_360,V_361) ),
    inference(resolution,[status(thm)],[c_2,c_278]) ).

tff(c_541,plain,
    ! [U_5,V_6] :
      ( artifact(U_5,V_6)
      | ~ frontseat(U_5,V_6) ),
    inference(resolution,[status(thm)],[c_356,c_537]) ).

tff(c_994,plain,
    artifact('#skF_4','#skF_3'('#skF_4','#skF_9')),
    inference(resolution,[status(thm)],[c_989,c_541]) ).

tff(c_308,plain,
    ! [U_275,V_276] :
      ( object(U_275,V_276)
      | ~ artifact(U_275,V_276) ),
    inference(cnfTransformation,[status(thm)],[f_107]) ).

tff(c_36,plain,
    ! [U_35,V_36] :
      ( nonliving(U_35,V_36)
      | ~ object(U_35,V_36) ),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_434,plain,
    ! [U_328,V_329] :
      ( nonliving(U_328,V_329)
      | ~ artifact(U_328,V_329) ),
    inference(resolution,[status(thm)],[c_308,c_36]) ).

tff(c_100,plain,
    ! [U_99,V_100] :
      ( ~ nonliving(U_99,V_100)
      | ~ animate(U_99,V_100) ),
    inference(cnfTransformation,[status(thm)],[f_228]) ).

tff(c_441,plain,
    ! [U_328,V_329] :
      ( ~ animate(U_328,V_329)
      | ~ artifact(U_328,V_329) ),
    inference(resolution,[status(thm)],[c_434,c_100]) ).

tff(c_1000,plain,
    ~ animate('#skF_4','#skF_3'('#skF_4','#skF_9')),
    inference(resolution,[status(thm)],[c_994,c_441]) ).

tff(c_1005,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_703,c_1000]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP149+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
% 0.18/0.36  % Computer : n012.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Thu Aug  3 13:03:52 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 6.91/2.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.22/2.72  
% 7.22/2.72  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.22/2.76  
% 7.22/2.76  Inference rules
% 7.22/2.76  ----------------------
% 7.22/2.76  #Ref     : 0
% 7.22/2.76  #Sup     : 160
% 7.22/2.76  #Fact    : 0
% 7.22/2.76  #Define  : 0
% 7.22/2.76  #Split   : 4
% 7.22/2.76  #Chain   : 0
% 7.22/2.76  #Close   : 0
% 7.22/2.76  
% 7.22/2.76  Ordering : KBO
% 7.22/2.76  
% 7.22/2.76  Simplification rules
% 7.22/2.76  ----------------------
% 7.22/2.76  #Subsume      : 10
% 7.22/2.76  #Demod        : 22
% 7.22/2.76  #Tautology    : 13
% 7.22/2.76  #SimpNegUnit  : 1
% 7.22/2.76  #BackRed      : 0
% 7.22/2.76  
% 7.22/2.76  #Partial instantiations: 0
% 7.22/2.76  #Strategies tried      : 1
% 7.22/2.76  
% 7.22/2.76  Timing (in seconds)
% 7.22/2.76  ----------------------
% 7.22/2.77  Preprocessing        : 0.79
% 7.22/2.77  Parsing              : 0.44
% 7.22/2.77  CNF conversion       : 0.06
% 7.22/2.77  Main loop            : 0.85
% 7.22/2.77  Inferencing          : 0.33
% 7.22/2.77  Reduction            : 0.24
% 7.22/2.77  Demodulation         : 0.15
% 7.22/2.77  BG Simplification    : 0.05
% 7.22/2.77  Subsumption          : 0.16
% 7.22/2.77  Abstraction          : 0.03
% 7.22/2.77  MUC search           : 0.00
% 7.22/2.77  Cooper               : 0.00
% 7.22/2.77  Total                : 1.71
% 7.22/2.77  Index Insertion      : 0.00
% 7.22/2.77  Index Deletion       : 0.00
% 7.22/2.77  Index Matching       : 0.00
% 7.22/2.77  BG Taut test         : 0.00
%------------------------------------------------------------------------------