TSTP Solution File: NLP122-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP122-1 : 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/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 : 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 10:50:20 EDT 2023

% Result   : Unsatisfiable 3.41s 1.94s
% Output   : CNFRefutation 3.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  146 (  40 unt;  28 typ;   0 def)
%            Number of atoms       :  345 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  435 ( 208   ~; 227   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  17   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   2 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   40 (;  40   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ of > in > down > agent > white > street > present > placename > old > lonely > hollywood_placename > event > dirty > city > chevy > barrel > actual_world > #nlpp > ssSkC0 > skc19 > skc18 > skc17 > skc16 > skc15 > skc14 > skc13 > skc12 > skc11 > skc10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(skc16,type,
    skc16: $i ).

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

tff(present,type,
    present: ( $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(skc18,type,
    skc18: $i ).

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

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

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

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

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

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

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

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

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

tff(skc15,type,
    skc15: $i ).

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

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

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

tff(ssSkC0,type,
    ssSkC0: $o ).

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

tff(f_29,axiom,
    ( ssSkC0
    | city(skc15,skc18) ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ( ~ ssSkC0
    | city(skc10,skc12) ),
    file(unknown,unknown) ).

tff(f_98,axiom,
    ( ~ ssSkC0
    | chevy(skc10,skc12) ),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ( ~ ssSkC0
    | white(skc10,skc12) ),
    file(unknown,unknown) ).

tff(f_90,axiom,
    ( ~ ssSkC0
    | dirty(skc10,skc12) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ( ~ ssSkC0
    | old(skc10,skc12) ),
    file(unknown,unknown) ).

tff(f_134,axiom,
    ( ~ ssSkC0
    | agent(skc10,skc11,skc12) ),
    file(unknown,unknown) ).

tff(f_130,axiom,
    ( ~ ssSkC0
    | in(skc10,skc11,skc12) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ~ ssSkC0
    | placename(skc10,skc13) ),
    file(unknown,unknown) ).

tff(f_106,axiom,
    ( ~ ssSkC0
    | hollywood_placename(skc10,skc13) ),
    file(unknown,unknown) ).

tff(f_138,axiom,
    ( ~ ssSkC0
    | of(skc10,skc13,skc12) ),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ( ~ ssSkC0
    | event(skc10,skc11) ),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ( ~ ssSkC0
    | present(skc10,skc11) ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ( ~ ssSkC0
    | barrel(skc10,skc11) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    ( ~ ssSkC0
    | lonely(skc10,skc14) ),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ( ~ ssSkC0
    | street(skc10,skc14) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    actual_world(skc10),
    file(unknown,unknown) ).

tff(f_126,axiom,
    ( ~ ssSkC0
    | down(skc10,skc11,skc14) ),
    file(unknown,unknown) ).

tff(f_245,axiom,
    ! [W,U,X,Y,V] :
      ( ~ city(U,V)
      | ~ chevy(U,V)
      | ~ white(U,V)
      | ~ dirty(U,V)
      | ~ old(U,V)
      | ~ agent(U,W,V)
      | ~ in(U,W,V)
      | ~ placename(U,X)
      | ~ hollywood_placename(U,X)
      | ~ of(U,X,V)
      | ~ event(U,W)
      | ~ present(U,W)
      | ~ barrel(U,W)
      | ~ down(U,W,Y)
      | ~ lonely(U,Y)
      | ~ street(U,Y)
      | ~ actual_world(U)
      | ~ ssSkC0 ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ( ssSkC0
    | lonely(skc15,skc17) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ( ssSkC0
    | street(skc15,skc17) ),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ( ssSkC0
    | down(skc15,skc16,skc17) ),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ( ssSkC0
    | event(skc15,skc16) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ( ssSkC0
    | present(skc15,skc16) ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ( ssSkC0
    | barrel(skc15,skc16) ),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ( ssSkC0
    | agent(skc15,skc16,skc18) ),
    file(unknown,unknown) ).

tff(f_116,axiom,
    ( ssSkC0
    | in(skc15,skc16,skc18) ),
    file(unknown,unknown) ).

tff(f_41,axiom,
    ( ssSkC0
    | old(skc15,skc18) ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ( ssSkC0
    | dirty(skc15,skc18) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ( ssSkC0
    | white(skc15,skc18) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ( ssSkC0
    | chevy(skc15,skc18) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ( ssSkC0
    | hollywood_placename(skc15,skc19) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( ssSkC0
    | placename(skc15,skc19) ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    actual_world(skc15),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ( ssSkC0
    | of(skc15,skc19,skc18) ),
    file(unknown,unknown) ).

tff(f_191,axiom,
    ! [W,U,X,Y,V] :
      ( ~ event(U,V)
      | ~ present(U,V)
      | ~ barrel(U,V)
      | ~ down(U,V,W)
      | ~ lonely(U,W)
      | ~ street(U,W)
      | ~ in(U,V,X)
      | ~ agent(U,V,X)
      | ~ old(U,X)
      | ~ dirty(U,X)
      | ~ white(U,X)
      | ~ chevy(U,X)
      | ~ city(U,X)
      | ~ of(U,Y,X)
      | ~ hollywood_placename(U,Y)
      | ~ placename(U,Y)
      | ~ actual_world(U)
      | ssSkC0 ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ( city(skc15,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_73,plain,
    ssSkC0,
    inference(splitLeft,[status(thm)],[c_6]) ).

tff(c_48,plain,
    ( city(skc10,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_79,plain,
    city(skc10,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_48]) ).

tff(c_46,plain,
    ( chevy(skc10,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_89,plain,
    chevy(skc10,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_46]) ).

tff(c_44,plain,
    ( white(skc10,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_94,plain,
    white(skc10,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_44]) ).

tff(c_42,plain,
    ( dirty(skc10,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_103,plain,
    dirty(skc10,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_42]) ).

tff(c_40,plain,
    ( old(skc10,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_77,plain,
    old(skc10,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_40]) ).

tff(c_66,plain,
    ( agent(skc10,skc11,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_120,plain,
    agent(skc10,skc11,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_66]) ).

tff(c_64,plain,
    ( in(skc10,skc11,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_115,plain,
    in(skc10,skc11,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_64]) ).

tff(c_52,plain,
    ( placename(skc10,skc13)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_75,plain,
    placename(skc10,skc13),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_52]) ).

tff(c_50,plain,
    ( hollywood_placename(skc10,skc13)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_85,plain,
    hollywood_placename(skc10,skc13),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_50]) ).

tff(c_68,plain,
    ( of(skc10,skc13,skc12)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_117,plain,
    of(skc10,skc13,skc12),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_68]) ).

tff(c_30,plain,
    ( event(skc10,skc11)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_108,plain,
    event(skc10,skc11),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_30]) ).

tff(c_32,plain,
    ( present(skc10,skc11)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_91,plain,
    present(skc10,skc11),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_32]) ).

tff(c_34,plain,
    ( barrel(skc10,skc11)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_97,plain,
    barrel(skc10,skc11),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_34]) ).

tff(c_36,plain,
    ( lonely(skc10,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_101,plain,
    lonely(skc10,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_36]) ).

tff(c_38,plain,
    ( street(skc10,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_99,plain,
    street(skc10,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_38]) ).

tff(c_4,plain,
    actual_world(skc10),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_62,plain,
    ( down(skc10,skc11,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_112,plain,
    down(skc10,skc11,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_62]) ).

tff(c_72,plain,
    ! [U_7,V_10,Y_9,X_8,W_6] :
      ( ~ ssSkC0
      | ~ actual_world(U_7)
      | ~ street(U_7,Y_9)
      | ~ lonely(U_7,Y_9)
      | ~ down(U_7,W_6,Y_9)
      | ~ barrel(U_7,W_6)
      | ~ present(U_7,W_6)
      | ~ event(U_7,W_6)
      | ~ of(U_7,X_8,V_10)
      | ~ hollywood_placename(U_7,X_8)
      | ~ placename(U_7,X_8)
      | ~ in(U_7,W_6,V_10)
      | ~ agent(U_7,W_6,V_10)
      | ~ old(U_7,V_10)
      | ~ dirty(U_7,V_10)
      | ~ white(U_7,V_10)
      | ~ chevy(U_7,V_10)
      | ~ city(U_7,V_10) ),
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_123,plain,
    ! [X_14,W_13,Y_12,V_15,U_11] :
      ( ~ actual_world(U_11)
      | ~ street(U_11,Y_12)
      | ~ lonely(U_11,Y_12)
      | ~ down(U_11,W_13,Y_12)
      | ~ barrel(U_11,W_13)
      | ~ present(U_11,W_13)
      | ~ event(U_11,W_13)
      | ~ of(U_11,X_14,V_15)
      | ~ hollywood_placename(U_11,X_14)
      | ~ placename(U_11,X_14)
      | ~ in(U_11,W_13,V_15)
      | ~ agent(U_11,W_13,V_15)
      | ~ old(U_11,V_15)
      | ~ dirty(U_11,V_15)
      | ~ white(U_11,V_15)
      | ~ chevy(U_11,V_15)
      | ~ city(U_11,V_15) ),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_72]) ).

tff(c_125,plain,
    ! [X_14,V_15] :
      ( ~ actual_world(skc10)
      | ~ street(skc10,skc14)
      | ~ lonely(skc10,skc14)
      | ~ barrel(skc10,skc11)
      | ~ present(skc10,skc11)
      | ~ event(skc10,skc11)
      | ~ of(skc10,X_14,V_15)
      | ~ hollywood_placename(skc10,X_14)
      | ~ placename(skc10,X_14)
      | ~ in(skc10,skc11,V_15)
      | ~ agent(skc10,skc11,V_15)
      | ~ old(skc10,V_15)
      | ~ dirty(skc10,V_15)
      | ~ white(skc10,V_15)
      | ~ chevy(skc10,V_15)
      | ~ city(skc10,V_15) ),
    inference(resolution,[status(thm)],[c_112,c_123]) ).

tff(c_129,plain,
    ! [X_16,V_17] :
      ( ~ of(skc10,X_16,V_17)
      | ~ hollywood_placename(skc10,X_16)
      | ~ placename(skc10,X_16)
      | ~ in(skc10,skc11,V_17)
      | ~ agent(skc10,skc11,V_17)
      | ~ old(skc10,V_17)
      | ~ dirty(skc10,V_17)
      | ~ white(skc10,V_17)
      | ~ chevy(skc10,V_17)
      | ~ city(skc10,V_17) ),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_91,c_97,c_101,c_99,c_4,c_125]) ).

tff(c_132,plain,
    ( ~ hollywood_placename(skc10,skc13)
    | ~ placename(skc10,skc13)
    | ~ in(skc10,skc11,skc12)
    | ~ agent(skc10,skc11,skc12)
    | ~ old(skc10,skc12)
    | ~ dirty(skc10,skc12)
    | ~ white(skc10,skc12)
    | ~ chevy(skc10,skc12)
    | ~ city(skc10,skc12) ),
    inference(resolution,[status(thm)],[c_117,c_129]) ).

tff(c_136,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_79,c_89,c_94,c_103,c_77,c_120,c_115,c_75,c_85,c_132]) ).

tff(c_138,plain,
    ~ ssSkC0,
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_26,plain,
    ( lonely(skc15,skc17)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_147,plain,
    lonely(skc15,skc17),
    inference(negUnitSimplification,[status(thm)],[c_138,c_26]) ).

tff(c_28,plain,
    ( street(skc15,skc17)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_146,plain,
    street(skc15,skc17),
    inference(negUnitSimplification,[status(thm)],[c_138,c_28]) ).

tff(c_60,plain,
    ( down(skc15,skc16,skc17)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_150,plain,
    down(skc15,skc16,skc17),
    inference(negUnitSimplification,[status(thm)],[c_138,c_60]) ).

tff(c_20,plain,
    ( event(skc15,skc16)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_148,plain,
    event(skc15,skc16),
    inference(negUnitSimplification,[status(thm)],[c_138,c_20]) ).

tff(c_22,plain,
    ( present(skc15,skc16)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_144,plain,
    present(skc15,skc16),
    inference(negUnitSimplification,[status(thm)],[c_138,c_22]) ).

tff(c_24,plain,
    ( barrel(skc15,skc16)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_142,plain,
    barrel(skc15,skc16),
    inference(negUnitSimplification,[status(thm)],[c_138,c_24]) ).

tff(c_54,plain,
    ( agent(skc15,skc16,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_151,plain,
    agent(skc15,skc16,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_54]) ).

tff(c_56,plain,
    ( in(skc15,skc16,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_153,plain,
    in(skc15,skc16,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_56]) ).

tff(c_14,plain,
    ( old(skc15,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_141,plain,
    old(skc15,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_14]) ).

tff(c_12,plain,
    ( dirty(skc15,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_140,plain,
    dirty(skc15,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_12]) ).

tff(c_10,plain,
    ( white(skc15,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_139,plain,
    white(skc15,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_10]) ).

tff(c_8,plain,
    ( chevy(skc15,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_143,plain,
    chevy(skc15,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_8]) ).

tff(c_137,plain,
    city(skc15,skc18),
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_18,plain,
    ( hollywood_placename(skc15,skc19)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_145,plain,
    hollywood_placename(skc15,skc19),
    inference(negUnitSimplification,[status(thm)],[c_138,c_18]) ).

tff(c_16,plain,
    ( placename(skc15,skc19)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_149,plain,
    placename(skc15,skc19),
    inference(negUnitSimplification,[status(thm)],[c_138,c_16]) ).

tff(c_2,plain,
    actual_world(skc15),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_58,plain,
    ( of(skc15,skc19,skc18)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_152,plain,
    of(skc15,skc19,skc18),
    inference(negUnitSimplification,[status(thm)],[c_138,c_58]) ).

tff(c_70,plain,
    ! [U_2,W_1,X_3,V_5,Y_4] :
      ( ssSkC0
      | ~ actual_world(U_2)
      | ~ placename(U_2,Y_4)
      | ~ hollywood_placename(U_2,Y_4)
      | ~ of(U_2,Y_4,X_3)
      | ~ city(U_2,X_3)
      | ~ chevy(U_2,X_3)
      | ~ white(U_2,X_3)
      | ~ dirty(U_2,X_3)
      | ~ old(U_2,X_3)
      | ~ agent(U_2,V_5,X_3)
      | ~ in(U_2,V_5,X_3)
      | ~ street(U_2,W_1)
      | ~ lonely(U_2,W_1)
      | ~ down(U_2,V_5,W_1)
      | ~ barrel(U_2,V_5)
      | ~ present(U_2,V_5)
      | ~ event(U_2,V_5) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_155,plain,
    ! [V_21,X_19,W_20,Y_22,U_18] :
      ( ~ actual_world(U_18)
      | ~ placename(U_18,Y_22)
      | ~ hollywood_placename(U_18,Y_22)
      | ~ of(U_18,Y_22,X_19)
      | ~ city(U_18,X_19)
      | ~ chevy(U_18,X_19)
      | ~ white(U_18,X_19)
      | ~ dirty(U_18,X_19)
      | ~ old(U_18,X_19)
      | ~ agent(U_18,V_21,X_19)
      | ~ in(U_18,V_21,X_19)
      | ~ street(U_18,W_20)
      | ~ lonely(U_18,W_20)
      | ~ down(U_18,V_21,W_20)
      | ~ barrel(U_18,V_21)
      | ~ present(U_18,V_21)
      | ~ event(U_18,V_21) ),
    inference(negUnitSimplification,[status(thm)],[c_138,c_70]) ).

tff(c_157,plain,
    ! [V_21,W_20] :
      ( ~ actual_world(skc15)
      | ~ placename(skc15,skc19)
      | ~ hollywood_placename(skc15,skc19)
      | ~ city(skc15,skc18)
      | ~ chevy(skc15,skc18)
      | ~ white(skc15,skc18)
      | ~ dirty(skc15,skc18)
      | ~ old(skc15,skc18)
      | ~ agent(skc15,V_21,skc18)
      | ~ in(skc15,V_21,skc18)
      | ~ street(skc15,W_20)
      | ~ lonely(skc15,W_20)
      | ~ down(skc15,V_21,W_20)
      | ~ barrel(skc15,V_21)
      | ~ present(skc15,V_21)
      | ~ event(skc15,V_21) ),
    inference(resolution,[status(thm)],[c_152,c_155]) ).

tff(c_161,plain,
    ! [V_23,W_24] :
      ( ~ agent(skc15,V_23,skc18)
      | ~ in(skc15,V_23,skc18)
      | ~ street(skc15,W_24)
      | ~ lonely(skc15,W_24)
      | ~ down(skc15,V_23,W_24)
      | ~ barrel(skc15,V_23)
      | ~ present(skc15,V_23)
      | ~ event(skc15,V_23) ),
    inference(demodulation,[status(thm),theory(equality)],[c_141,c_140,c_139,c_143,c_137,c_145,c_149,c_2,c_157]) ).

tff(c_163,plain,
    ! [W_24] :
      ( ~ agent(skc15,skc16,skc18)
      | ~ street(skc15,W_24)
      | ~ lonely(skc15,W_24)
      | ~ down(skc15,skc16,W_24)
      | ~ barrel(skc15,skc16)
      | ~ present(skc15,skc16)
      | ~ event(skc15,skc16) ),
    inference(resolution,[status(thm)],[c_153,c_161]) ).

tff(c_167,plain,
    ! [W_25] :
      ( ~ street(skc15,W_25)
      | ~ lonely(skc15,W_25)
      | ~ down(skc15,skc16,W_25) ),
    inference(demodulation,[status(thm),theory(equality)],[c_148,c_144,c_142,c_151,c_163]) ).

tff(c_170,plain,
    ( ~ street(skc15,skc17)
    | ~ lonely(skc15,skc17) ),
    inference(resolution,[status(thm)],[c_150,c_167]) ).

tff(c_174,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_147,c_146,c_170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP122-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.17/0.34  % Computer : n029.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Thu Aug  3 13:17:07 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 3.41/1.94  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.41/1.95  
% 3.41/1.95  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.68/2.01  
% 3.68/2.01  Inference rules
% 3.68/2.01  ----------------------
% 3.68/2.01  #Ref     : 0
% 3.68/2.01  #Sup     : 5
% 3.68/2.01  #Fact    : 0
% 3.68/2.01  #Define  : 0
% 3.68/2.01  #Split   : 1
% 3.68/2.01  #Chain   : 0
% 3.68/2.01  #Close   : 0
% 3.68/2.01  
% 3.68/2.01  Ordering : KBO
% 3.68/2.01  
% 3.68/2.01  Simplification rules
% 3.68/2.01  ----------------------
% 3.68/2.01  #Subsume      : 17
% 3.68/2.01  #Demod        : 61
% 3.68/2.01  #Tautology    : 15
% 3.68/2.01  #SimpNegUnit  : 16
% 3.68/2.01  #BackRed      : 0
% 3.68/2.01  
% 3.68/2.01  #Partial instantiations: 0
% 3.68/2.01  #Strategies tried      : 1
% 3.68/2.01  
% 3.68/2.01  Timing (in seconds)
% 3.68/2.01  ----------------------
% 3.68/2.01  Preprocessing        : 0.50
% 3.68/2.01  Parsing              : 0.28
% 3.68/2.01  CNF conversion       : 0.02
% 3.68/2.01  Main loop            : 0.30
% 3.68/2.01  Inferencing          : 0.11
% 3.68/2.01  Reduction            : 0.08
% 3.68/2.01  Demodulation         : 0.06
% 3.68/2.01  BG Simplification    : 0.03
% 3.68/2.01  Subsumption          : 0.05
% 3.68/2.01  Abstraction          : 0.01
% 3.68/2.01  MUC search           : 0.00
% 3.68/2.01  Cooper               : 0.00
% 3.68/2.01  Total                : 0.88
% 3.68/2.01  Index Insertion      : 0.00
% 3.68/2.01  Index Deletion       : 0.00
% 3.68/2.01  Index Matching       : 0.00
% 3.68/2.01  BG Taut test         : 0.00
%------------------------------------------------------------------------------