TSTP Solution File: NLP117-1 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : NLP117-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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 : n004.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  : 600s
% DateTime : Mon Jul 18 01:00:13 EDT 2022

% Result   : Unsatisfiable 2.37s 1.26s
% Output   : CNFRefutation 2.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   69
% Syntax   : Number of formulae    :  157 (  42 unt;  33 typ;   0 def)
%            Number of atoms       :  358 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  453 ( 219   ~; 234   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    5 (   0 usr;   3 ari)
%            Number of type conns  :   43 (  20   >;  23   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   2 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ of > in > down > agent > white > street > present > placename > old > lonely > hollywood_placename > event > dirty > city > chevy > barrel > actual_world > #nlpp > ssSkC0 > skc23 > skc22 > skc21 > skc20 > skc19 > skc18 > skc17 > skc16 > skc15 > skc14 > skc13 > skc12

%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('#nlpp',type,
    '#nlpp': ( $real * $real ) > $real ).

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

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(skc20,type,
    skc20: $i ).

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

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

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

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

tff(skc21,type,
    skc21: $i ).

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

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

tff(skc22,type,
    skc22: $i ).

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

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

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

tff('#nlpp_001',type,
    '#nlpp': ( $rat * $rat ) > $rat ).

tff('#nlpp_002',type,
    '#nlpp': ( $int * $int ) > $int ).

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

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

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

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

tff(f_29,axiom,
    ( ssSkC0
    | old(skc18,skc23) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ( ~ ssSkC0
    | hollywood_placename(skc12,skc15) ),
    file(unknown,unknown) ).

tff(f_90,axiom,
    ( ~ ssSkC0
    | placename(skc12,skc15) ),
    file(unknown,unknown) ).

tff(f_130,axiom,
    ( ~ ssSkC0
    | in(skc12,skc13,skc16) ),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ( ~ ssSkC0
    | city(skc12,skc16) ),
    file(unknown,unknown) ).

tff(f_134,axiom,
    ( ~ ssSkC0
    | of(skc12,skc15,skc16) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ~ ssSkC0
    | old(skc12,skc14) ),
    file(unknown,unknown) ).

tff(f_106,axiom,
    ( ~ ssSkC0
    | dirty(skc12,skc14) ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ( ~ ssSkC0
    | white(skc12,skc14) ),
    file(unknown,unknown) ).

tff(f_98,axiom,
    ( ~ ssSkC0
    | chevy(skc12,skc14) ),
    file(unknown,unknown) ).

tff(f_138,axiom,
    ( ~ ssSkC0
    | agent(skc12,skc13,skc14) ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ( ~ ssSkC0
    | barrel(skc12,skc13) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    ( ~ ssSkC0
    | present(skc12,skc13) ),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ( ~ ssSkC0
    | event(skc12,skc13) ),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ( ~ ssSkC0
    | street(skc12,skc17) ),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ( ~ ssSkC0
    | lonely(skc12,skc17) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    actual_world(skc12),
    file(unknown,unknown) ).

tff(f_126,axiom,
    ( ~ ssSkC0
    | down(skc12,skc13,skc17) ),
    file(unknown,unknown) ).

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

tff(f_50,axiom,
    ( ssSkC0
    | hollywood_placename(skc18,skc21) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ( ssSkC0
    | placename(skc18,skc21) ),
    file(unknown,unknown) ).

tff(f_116,axiom,
    ( ssSkC0
    | in(skc18,skc19,skc22) ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ( ssSkC0
    | city(skc18,skc22) ),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ( ssSkC0
    | of(skc18,skc21,skc22) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ( ssSkC0
    | lonely(skc18,skc20) ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ( ssSkC0
    | street(skc18,skc20) ),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ( ssSkC0
    | down(skc18,skc19,skc20) ),
    file(unknown,unknown) ).

tff(f_41,axiom,
    ( ssSkC0
    | barrel(skc18,skc19) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( ssSkC0
    | present(skc18,skc19) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ( ssSkC0
    | event(skc18,skc19) ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ( ssSkC0
    | chevy(skc18,skc23) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ( ssSkC0
    | white(skc18,skc23) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ( ssSkC0
    | dirty(skc18,skc23) ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    actual_world(skc18),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ( ssSkC0
    | agent(skc18,skc19,skc23) ),
    file(unknown,unknown) ).

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

tff(c_6,plain,
    ( old(skc18,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

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

tff(c_40,plain,
    ( hollywood_placename(skc12,skc15)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_77,plain,
    hollywood_placename(skc12,skc15),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_40]) ).

tff(c_42,plain,
    ( placename(skc12,skc15)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_106,plain,
    placename(skc12,skc15),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_42]) ).

tff(c_64,plain,
    ( in(skc12,skc13,skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_113,plain,
    in(skc12,skc13,skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_64]) ).

tff(c_44,plain,
    ( city(skc12,skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_84,plain,
    city(skc12,skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_44]) ).

tff(c_66,plain,
    ( of(skc12,skc15,skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_119,plain,
    of(skc12,skc15,skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_66]) ).

tff(c_52,plain,
    ( old(skc12,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_75,plain,
    old(skc12,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_52]) ).

tff(c_50,plain,
    ( dirty(skc12,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_89,plain,
    dirty(skc12,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_50]) ).

tff(c_48,plain,
    ( white(skc12,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_86,plain,
    white(skc12,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_48]) ).

tff(c_46,plain,
    ( chevy(skc12,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_79,plain,
    chevy(skc12,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_46]) ).

tff(c_68,plain,
    ( agent(skc12,skc13,skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_117,plain,
    agent(skc12,skc13,skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_68]) ).

tff(c_34,plain,
    ( barrel(skc12,skc13)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_103,plain,
    barrel(skc12,skc13),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_34]) ).

tff(c_36,plain,
    ( present(skc12,skc13)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_101,plain,
    present(skc12,skc13),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_36]) ).

tff(c_38,plain,
    ( event(skc12,skc13)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_96,plain,
    event(skc12,skc13),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_38]) ).

tff(c_32,plain,
    ( street(skc12,skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_98,plain,
    street(skc12,skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_32]) ).

tff(c_30,plain,
    ( lonely(skc12,skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_92,plain,
    lonely(skc12,skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_30]) ).

tff(c_4,plain,
    actual_world(skc12),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_62,plain,
    ( down(skc12,skc13,skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_111,plain,
    down(skc12,skc13,skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_62]) ).

tff(c_72,plain,
    ! [W_7,Z_9,X_10,Y_11,U_8,V_12] :
      ( ~ ssSkC0
      | ~ actual_world(U_8)
      | ~ down(U_8,V_12,Z_9)
      | ~ lonely(U_8,Z_9)
      | ~ street(U_8,Z_9)
      | ~ of(U_8,X_10,Y_11)
      | ~ city(U_8,Y_11)
      | ~ in(U_8,V_12,Y_11)
      | ~ placename(U_8,X_10)
      | ~ hollywood_placename(U_8,X_10)
      | ~ event(U_8,V_12)
      | ~ present(U_8,V_12)
      | ~ barrel(U_8,V_12)
      | ~ chevy(U_8,W_7)
      | ~ white(U_8,W_7)
      | ~ dirty(U_8,W_7)
      | ~ old(U_8,W_7)
      | ~ agent(U_8,V_12,W_7) ),
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_124,plain,
    ! [Z_13,W_14,U_15,Y_18,V_16,X_17] :
      ( ~ actual_world(U_15)
      | ~ down(U_15,V_16,Z_13)
      | ~ lonely(U_15,Z_13)
      | ~ street(U_15,Z_13)
      | ~ of(U_15,X_17,Y_18)
      | ~ city(U_15,Y_18)
      | ~ in(U_15,V_16,Y_18)
      | ~ placename(U_15,X_17)
      | ~ hollywood_placename(U_15,X_17)
      | ~ event(U_15,V_16)
      | ~ present(U_15,V_16)
      | ~ barrel(U_15,V_16)
      | ~ chevy(U_15,W_14)
      | ~ white(U_15,W_14)
      | ~ dirty(U_15,W_14)
      | ~ old(U_15,W_14)
      | ~ agent(U_15,V_16,W_14) ),
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_72]) ).

tff(c_126,plain,
    ! [X_17,Y_18,W_14] :
      ( ~ actual_world(skc12)
      | ~ lonely(skc12,skc17)
      | ~ street(skc12,skc17)
      | ~ of(skc12,X_17,Y_18)
      | ~ city(skc12,Y_18)
      | ~ in(skc12,skc13,Y_18)
      | ~ placename(skc12,X_17)
      | ~ hollywood_placename(skc12,X_17)
      | ~ event(skc12,skc13)
      | ~ present(skc12,skc13)
      | ~ barrel(skc12,skc13)
      | ~ chevy(skc12,W_14)
      | ~ white(skc12,W_14)
      | ~ dirty(skc12,W_14)
      | ~ old(skc12,W_14)
      | ~ agent(skc12,skc13,W_14) ),
    inference(resolution,[status(thm)],[c_111,c_124]) ).

tff(c_129,plain,
    ! [X_17,Y_18,W_14] :
      ( ~ of(skc12,X_17,Y_18)
      | ~ city(skc12,Y_18)
      | ~ in(skc12,skc13,Y_18)
      | ~ placename(skc12,X_17)
      | ~ hollywood_placename(skc12,X_17)
      | ~ chevy(skc12,W_14)
      | ~ white(skc12,W_14)
      | ~ dirty(skc12,W_14)
      | ~ old(skc12,W_14)
      | ~ agent(skc12,skc13,W_14) ),
    inference(demodulation,[status(thm),theory(equality)],[c_103,c_101,c_96,c_98,c_92,c_4,c_126]) ).

tff(c_131,plain,
    ! [W_19] :
      ( ~ chevy(skc12,W_19)
      | ~ white(skc12,W_19)
      | ~ dirty(skc12,W_19)
      | ~ old(skc12,W_19)
      | ~ agent(skc12,skc13,W_19) ),
    inference(splitLeft,[status(thm)],[c_129]) ).

tff(c_134,plain,
    ( ~ chevy(skc12,skc14)
    | ~ white(skc12,skc14)
    | ~ dirty(skc12,skc14)
    | ~ old(skc12,skc14) ),
    inference(resolution,[status(thm)],[c_117,c_131]) ).

tff(c_138,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_75,c_89,c_86,c_79,c_134]) ).

tff(c_140,plain,
    ! [X_20,Y_21] :
      ( ~ of(skc12,X_20,Y_21)
      | ~ city(skc12,Y_21)
      | ~ in(skc12,skc13,Y_21)
      | ~ placename(skc12,X_20)
      | ~ hollywood_placename(skc12,X_20) ),
    inference(splitRight,[status(thm)],[c_129]) ).

tff(c_143,plain,
    ( ~ city(skc12,skc16)
    | ~ in(skc12,skc13,skc16)
    | ~ placename(skc12,skc15)
    | ~ hollywood_placename(skc12,skc15) ),
    inference(resolution,[status(thm)],[c_119,c_140]) ).

tff(c_147,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_77,c_106,c_113,c_84,c_143]) ).

tff(c_149,plain,
    ~ ssSkC0,
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_20,plain,
    ( hollywood_placename(skc18,skc21)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_160,plain,
    hollywood_placename(skc18,skc21),
    inference(negUnitSimplification,[status(thm)],[c_149,c_20]) ).

tff(c_22,plain,
    ( placename(skc18,skc21)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_155,plain,
    placename(skc18,skc21),
    inference(negUnitSimplification,[status(thm)],[c_149,c_22]) ).

tff(c_56,plain,
    ( in(skc18,skc19,skc22)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_162,plain,
    in(skc18,skc19,skc22),
    inference(negUnitSimplification,[status(thm)],[c_149,c_56]) ).

tff(c_24,plain,
    ( city(skc18,skc22)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_158,plain,
    city(skc18,skc22),
    inference(negUnitSimplification,[status(thm)],[c_149,c_24]) ).

tff(c_58,plain,
    ( of(skc18,skc21,skc22)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_161,plain,
    of(skc18,skc21,skc22),
    inference(negUnitSimplification,[status(thm)],[c_149,c_58]) ).

tff(c_28,plain,
    ( lonely(skc18,skc20)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_156,plain,
    lonely(skc18,skc20),
    inference(negUnitSimplification,[status(thm)],[c_149,c_28]) ).

tff(c_26,plain,
    ( street(skc18,skc20)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_157,plain,
    street(skc18,skc20),
    inference(negUnitSimplification,[status(thm)],[c_149,c_26]) ).

tff(c_60,plain,
    ( down(skc18,skc19,skc20)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_163,plain,
    down(skc18,skc19,skc20),
    inference(negUnitSimplification,[status(thm)],[c_149,c_60]) ).

tff(c_14,plain,
    ( barrel(skc18,skc19)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_152,plain,
    barrel(skc18,skc19),
    inference(negUnitSimplification,[status(thm)],[c_149,c_14]) ).

tff(c_16,plain,
    ( present(skc18,skc19)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_159,plain,
    present(skc18,skc19),
    inference(negUnitSimplification,[status(thm)],[c_149,c_16]) ).

tff(c_18,plain,
    ( event(skc18,skc19)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_154,plain,
    event(skc18,skc19),
    inference(negUnitSimplification,[status(thm)],[c_149,c_18]) ).

tff(c_12,plain,
    ( chevy(skc18,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_151,plain,
    chevy(skc18,skc23),
    inference(negUnitSimplification,[status(thm)],[c_149,c_12]) ).

tff(c_10,plain,
    ( white(skc18,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_150,plain,
    white(skc18,skc23),
    inference(negUnitSimplification,[status(thm)],[c_149,c_10]) ).

tff(c_8,plain,
    ( dirty(skc18,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_153,plain,
    dirty(skc18,skc23),
    inference(negUnitSimplification,[status(thm)],[c_149,c_8]) ).

tff(c_148,plain,
    old(skc18,skc23),
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_2,plain,
    actual_world(skc18),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_54,plain,
    ( agent(skc18,skc19,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_164,plain,
    agent(skc18,skc19,skc23),
    inference(negUnitSimplification,[status(thm)],[c_149,c_54]) ).

tff(c_70,plain,
    ! [V_6,U_2,W_1,Z_3,X_4,Y_5] :
      ( ssSkC0
      | ~ actual_world(U_2)
      | ~ agent(U_2,V_6,Z_3)
      | ~ old(U_2,Z_3)
      | ~ dirty(U_2,Z_3)
      | ~ white(U_2,Z_3)
      | ~ chevy(U_2,Z_3)
      | ~ of(U_2,X_4,Y_5)
      | ~ city(U_2,Y_5)
      | ~ in(U_2,V_6,Y_5)
      | ~ placename(U_2,X_4)
      | ~ hollywood_placename(U_2,X_4)
      | ~ event(U_2,V_6)
      | ~ present(U_2,V_6)
      | ~ barrel(U_2,V_6)
      | ~ street(U_2,W_1)
      | ~ lonely(U_2,W_1)
      | ~ down(U_2,V_6,W_1) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_166,plain,
    ! [V_24,W_27,Y_23,X_26,U_25,Z_22] :
      ( ~ actual_world(U_25)
      | ~ agent(U_25,V_24,Z_22)
      | ~ old(U_25,Z_22)
      | ~ dirty(U_25,Z_22)
      | ~ white(U_25,Z_22)
      | ~ chevy(U_25,Z_22)
      | ~ of(U_25,X_26,Y_23)
      | ~ city(U_25,Y_23)
      | ~ in(U_25,V_24,Y_23)
      | ~ placename(U_25,X_26)
      | ~ hollywood_placename(U_25,X_26)
      | ~ event(U_25,V_24)
      | ~ present(U_25,V_24)
      | ~ barrel(U_25,V_24)
      | ~ street(U_25,W_27)
      | ~ lonely(U_25,W_27)
      | ~ down(U_25,V_24,W_27) ),
    inference(negUnitSimplification,[status(thm)],[c_149,c_70]) ).

tff(c_168,plain,
    ! [X_26,Y_23,W_27] :
      ( ~ actual_world(skc18)
      | ~ old(skc18,skc23)
      | ~ dirty(skc18,skc23)
      | ~ white(skc18,skc23)
      | ~ chevy(skc18,skc23)
      | ~ of(skc18,X_26,Y_23)
      | ~ city(skc18,Y_23)
      | ~ in(skc18,skc19,Y_23)
      | ~ placename(skc18,X_26)
      | ~ hollywood_placename(skc18,X_26)
      | ~ event(skc18,skc19)
      | ~ present(skc18,skc19)
      | ~ barrel(skc18,skc19)
      | ~ street(skc18,W_27)
      | ~ lonely(skc18,W_27)
      | ~ down(skc18,skc19,W_27) ),
    inference(resolution,[status(thm)],[c_164,c_166]) ).

tff(c_171,plain,
    ! [X_26,Y_23,W_27] :
      ( ~ of(skc18,X_26,Y_23)
      | ~ city(skc18,Y_23)
      | ~ in(skc18,skc19,Y_23)
      | ~ placename(skc18,X_26)
      | ~ hollywood_placename(skc18,X_26)
      | ~ street(skc18,W_27)
      | ~ lonely(skc18,W_27)
      | ~ down(skc18,skc19,W_27) ),
    inference(demodulation,[status(thm),theory(equality)],[c_152,c_159,c_154,c_151,c_150,c_153,c_148,c_2,c_168]) ).

tff(c_173,plain,
    ! [W_28] :
      ( ~ street(skc18,W_28)
      | ~ lonely(skc18,W_28)
      | ~ down(skc18,skc19,W_28) ),
    inference(splitLeft,[status(thm)],[c_171]) ).

tff(c_176,plain,
    ( ~ street(skc18,skc20)
    | ~ lonely(skc18,skc20) ),
    inference(resolution,[status(thm)],[c_163,c_173]) ).

tff(c_180,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_156,c_157,c_176]) ).

tff(c_182,plain,
    ! [X_29,Y_30] :
      ( ~ of(skc18,X_29,Y_30)
      | ~ city(skc18,Y_30)
      | ~ in(skc18,skc19,Y_30)
      | ~ placename(skc18,X_29)
      | ~ hollywood_placename(skc18,X_29) ),
    inference(splitRight,[status(thm)],[c_171]) ).

tff(c_185,plain,
    ( ~ city(skc18,skc22)
    | ~ in(skc18,skc19,skc22)
    | ~ placename(skc18,skc21)
    | ~ hollywood_placename(skc18,skc21) ),
    inference(resolution,[status(thm)],[c_161,c_182]) ).

tff(c_189,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_155,c_162,c_158,c_185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NLP117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  1 11:49:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 2.37/1.26  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.37/1.28  
% 2.37/1.28  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.37/1.31  
% 2.37/1.31  Inference rules
% 2.37/1.31  ----------------------
% 2.37/1.31  #Ref     : 0
% 2.37/1.31  #Sup     : 6
% 2.37/1.31  #Fact    : 0
% 2.37/1.31  #Define  : 0
% 2.37/1.31  #Split   : 3
% 2.37/1.31  #Chain   : 0
% 2.37/1.31  #Close   : 0
% 2.37/1.31  
% 2.37/1.31  Ordering : KBO
% 2.37/1.31  
% 2.37/1.31  Simplification rules
% 2.37/1.31  ----------------------
% 2.37/1.31  #Subsume      : 17
% 2.37/1.31  #Demod        : 61
% 2.37/1.31  #Tautology    : 16
% 2.37/1.31  #SimpNegUnit  : 16
% 2.37/1.31  #BackRed      : 0
% 2.37/1.31  
% 2.37/1.31  #Partial instantiations: 0
% 2.37/1.31  #Strategies tried      : 1
% 2.37/1.31  
% 2.37/1.31  Timing (in seconds)
% 2.37/1.31  ----------------------
% 2.37/1.31  Preprocessing        : 0.32
% 2.37/1.31  Parsing              : 0.19
% 2.37/1.31  CNF conversion       : 0.02
% 2.37/1.31  Main loop            : 0.20
% 2.37/1.31  Inferencing          : 0.07
% 2.37/1.31  Reduction            : 0.06
% 2.37/1.31  Demodulation         : 0.04
% 2.37/1.31  BG Simplification    : 0.02
% 2.37/1.31  Subsumption          : 0.03
% 2.37/1.31  Abstraction          : 0.01
% 2.37/1.31  MUC search           : 0.00
% 2.37/1.31  Cooper               : 0.00
% 2.37/1.31  Total                : 0.58
% 2.37/1.31  Index Insertion      : 0.00
% 2.37/1.31  Index Deletion       : 0.00
% 2.37/1.31  Index Matching       : 0.00
% 2.37/1.31  BG Taut test         : 0.00
%------------------------------------------------------------------------------