TSTP Solution File: NLP004-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP004-1 : 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 : n013.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 10:49:55 EDT 2023

% Result   : Unsatisfiable 4.10s 2.05s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   97
% Syntax   : Number of formulae    :  233 (  84 unt;  37 typ;   0 def)
%            Number of atoms       :  628 (  22 equ)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives :  841 ( 409   ~; 432   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  20   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;   2 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :   84 (;  84   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ in > down > barrel > young > white > way > street > seat > old > man > lonely > hollywood > furniture > front > fellow > event > dirty > city > chevy > car > #nlpp > ssSkC0 > skc31 > skc30 > skc29 > skc28 > skc27 > skc26 > skc25 > skc24 > skc23 > skc22 > skc21 > skc20 > skc19 > skc18 > skc17 > skc16

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

tff(skc29,type,
    skc29: $i ).

tff(skc25,type,
    skc25: $i ).

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

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

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

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

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

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

tff(skc26,type,
    skc26: $i ).

tff(skc24,type,
    skc24: $i ).

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

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

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

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

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

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

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

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

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

tff(skc27,type,
    skc27: $i ).

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

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

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

tff(skc31,type,
    skc31: $i ).

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

tff(skc30,type,
    skc30: $i ).

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

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

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

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

tff(skc28,type,
    skc28: $i ).

tff(f_125,axiom,
    ( ~ ssSkC0
    | fellow(skc16) ),
    file(unknown,unknown) ).

tff(f_184,axiom,
    ( ( skc25 != skc24 )
    | ssSkC0 ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ( ssSkC0
    | seat(skc27) ),
    file(unknown,unknown) ).

tff(f_67,axiom,
    ( ssSkC0
    | furniture(skc27) ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    front(skc27),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ( ssSkC0
    | fellow(skc24) ),
    file(unknown,unknown) ).

tff(f_73,axiom,
    ( ssSkC0
    | man(skc24) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    young(skc24),
    file(unknown,unknown) ).

tff(f_157,axiom,
    ( ssSkC0
    | in(skc24,skc27) ),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ( ssSkC0
    | front(skc26) ),
    file(unknown,unknown) ).

tff(f_79,axiom,
    ( ssSkC0
    | furniture(skc26) ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    seat(skc26),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ( ssSkC0
    | young(skc25) ),
    file(unknown,unknown) ).

tff(f_85,axiom,
    ( ssSkC0
    | man(skc25) ),
    file(unknown,unknown) ).

tff(f_31,axiom,
    fellow(skc25),
    file(unknown,unknown) ).

tff(f_160,axiom,
    ( ssSkC0
    | in(skc25,skc26) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    old(skc28),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ( ssSkC0
    | dirty(skc28) ),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ( ssSkC0
    | white(skc28) ),
    file(unknown,unknown) ).

tff(f_46,axiom,
    ( ssSkC0
    | car(skc28) ),
    file(unknown,unknown) ).

tff(f_43,axiom,
    ( ssSkC0
    | chevy(skc28) ),
    file(unknown,unknown) ).

tff(f_148,axiom,
    ( ssSkC0
    | barrel(skc30,skc28) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    street(skc29),
    file(unknown,unknown) ).

tff(f_58,axiom,
    ( ssSkC0
    | way(skc29) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ( ssSkC0
    | lonely(skc29) ),
    file(unknown,unknown) ).

tff(f_151,axiom,
    ( ssSkC0
    | down(skc30,skc29) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    event(skc30),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ( ssSkC0
    | city(skc31) ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    hollywood(skc31),
    file(unknown,unknown) ).

tff(f_154,axiom,
    ( ssSkC0
    | in(skc30,skc31) ),
    file(unknown,unknown) ).

tff(f_277,axiom,
    ! [W,U,Z,X1,X2,X,Y,V] :
      ( ~ street(U)
      | ~ way(U)
      | ~ lonely(U)
      | ~ old(V)
      | ~ dirty(V)
      | ~ white(V)
      | ~ car(V)
      | ~ chevy(V)
      | ~ event(W)
      | ~ barrel(W,V)
      | ~ down(W,U)
      | ~ in(W,X)
      | ~ city(X)
      | ~ hollywood(X)
      | ~ seat(Y)
      | ~ furniture(Y)
      | ~ front(Y)
      | ~ in(Z,Y)
      | ~ fellow(Z)
      | ~ man(Z)
      | ~ young(Z)
      | ~ in(X1,X2)
      | ~ front(X2)
      | ~ furniture(X2)
      | ~ seat(X2)
      | ~ young(X1)
      | ~ man(X1)
      | ~ fellow(X1)
      | ssSkC0
      | ( X1 = Z ) ),
    file(unknown,unknown) ).

tff(f_189,axiom,
    ( ( skc17 != skc16 )
    | ~ ssSkC0 ),
    file(unknown,unknown) ).

tff(f_117,axiom,
    ( ~ ssSkC0
    | seat(skc19) ),
    file(unknown,unknown) ).

tff(f_121,axiom,
    ( ~ ssSkC0
    | furniture(skc19) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    front(skc19),
    file(unknown,unknown) ).

tff(f_129,axiom,
    ( ~ ssSkC0
    | man(skc16) ),
    file(unknown,unknown) ).

tff(f_40,axiom,
    young(skc16),
    file(unknown,unknown) ).

tff(f_176,axiom,
    ( ~ ssSkC0
    | in(skc16,skc19) ),
    file(unknown,unknown) ).

tff(f_133,axiom,
    ( ~ ssSkC0
    | front(skc18) ),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ( ~ ssSkC0
    | furniture(skc18) ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    seat(skc18),
    file(unknown,unknown) ).

tff(f_141,axiom,
    ( ~ ssSkC0
    | young(skc17) ),
    file(unknown,unknown) ).

tff(f_145,axiom,
    ( ~ ssSkC0
    | man(skc17) ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    fellow(skc17),
    file(unknown,unknown) ).

tff(f_180,axiom,
    ( ~ ssSkC0
    | in(skc17,skc18) ),
    file(unknown,unknown) ).

tff(f_36,axiom,
    lonely(skc20),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ( ~ ssSkC0
    | way(skc20) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ( ~ ssSkC0
    | street(skc20) ),
    file(unknown,unknown) ).

tff(f_168,axiom,
    ( ~ ssSkC0
    | down(skc22,skc20) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    chevy(skc21),
    file(unknown,unknown) ).

tff(f_109,axiom,
    ( ~ ssSkC0
    | car(skc21) ),
    file(unknown,unknown) ).

tff(f_105,axiom,
    ( ~ ssSkC0
    | white(skc21) ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ( ~ ssSkC0
    | dirty(skc21) ),
    file(unknown,unknown) ).

tff(f_97,axiom,
    ( ~ ssSkC0
    | old(skc21) ),
    file(unknown,unknown) ).

tff(f_164,axiom,
    ( ~ ssSkC0
    | barrel(skc22,skc21) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    event(skc22),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ( ~ ssSkC0
    | city(skc23) ),
    file(unknown,unknown) ).

tff(f_33,axiom,
    hollywood(skc23),
    file(unknown,unknown) ).

tff(f_172,axiom,
    ( ~ ssSkC0
    | in(skc22,skc23) ),
    file(unknown,unknown) ).

tff(f_366,axiom,
    ! [W,U,Z,X1,X2,X,Y,V] :
      ( ~ chevy(U)
      | ~ car(U)
      | ~ white(U)
      | ~ dirty(U)
      | ~ old(U)
      | ~ lonely(V)
      | ~ way(V)
      | ~ street(V)
      | ~ event(W)
      | ~ barrel(W,U)
      | ~ down(W,V)
      | ~ in(W,X)
      | ~ city(X)
      | ~ hollywood(X)
      | ~ seat(Y)
      | ~ furniture(Y)
      | ~ front(Y)
      | ~ in(Z,Y)
      | ~ fellow(Z)
      | ~ man(Z)
      | ~ young(Z)
      | ~ in(X1,X2)
      | ~ front(X2)
      | ~ furniture(X2)
      | ~ seat(X2)
      | ~ young(X1)
      | ~ man(X1)
      | ~ fellow(X1)
      | ~ ssSkC0
      | ( X1 = Z ) ),
    file(unknown,unknown) ).

tff(c_82,plain,
    ( fellow(skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_121,plain,
    ~ ssSkC0,
    inference(splitLeft,[status(thm)],[c_82]) ).

tff(c_114,plain,
    ( ssSkC0
    | ( skc25 != skc24 ) ),
    inference(cnfTransformation,[status(thm)],[f_184]) ).

tff(c_125,plain,
    skc25 != skc24,
    inference(negUnitSimplification,[status(thm)],[c_121,c_114]) ).

tff(c_48,plain,
    ( seat(skc27)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_129,plain,
    seat(skc27),
    inference(negUnitSimplification,[status(thm)],[c_121,c_48]) ).

tff(c_50,plain,
    ( furniture(skc27)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_127,plain,
    furniture(skc27),
    inference(negUnitSimplification,[status(thm)],[c_121,c_50]) ).

tff(c_10,plain,
    front(skc27),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_52,plain,
    ( fellow(skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_133,plain,
    fellow(skc24),
    inference(negUnitSimplification,[status(thm)],[c_121,c_52]) ).

tff(c_54,plain,
    ( man(skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_123,plain,
    man(skc24),
    inference(negUnitSimplification,[status(thm)],[c_121,c_54]) ).

tff(c_16,plain,
    young(skc24),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_100,plain,
    ( in(skc24,skc27)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_157]) ).

tff(c_141,plain,
    in(skc24,skc27),
    inference(negUnitSimplification,[status(thm)],[c_121,c_100]) ).

tff(c_56,plain,
    ( front(skc26)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_130,plain,
    front(skc26),
    inference(negUnitSimplification,[status(thm)],[c_121,c_56]) ).

tff(c_58,plain,
    ( furniture(skc26)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_134,plain,
    furniture(skc26),
    inference(negUnitSimplification,[status(thm)],[c_121,c_58]) ).

tff(c_12,plain,
    seat(skc26),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_60,plain,
    ( young(skc25)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_132,plain,
    young(skc25),
    inference(negUnitSimplification,[status(thm)],[c_121,c_60]) ).

tff(c_62,plain,
    ( man(skc25)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_135,plain,
    man(skc25),
    inference(negUnitSimplification,[status(thm)],[c_121,c_62]) ).

tff(c_14,plain,
    fellow(skc25),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_102,plain,
    ( in(skc25,skc26)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_160]) ).

tff(c_142,plain,
    in(skc25,skc26),
    inference(negUnitSimplification,[status(thm)],[c_121,c_102]) ).

tff(c_8,plain,
    old(skc28),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_40,plain,
    ( dirty(skc28)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_126,plain,
    dirty(skc28),
    inference(negUnitSimplification,[status(thm)],[c_121,c_40]) ).

tff(c_38,plain,
    ( white(skc28)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_122,plain,
    white(skc28),
    inference(negUnitSimplification,[status(thm)],[c_121,c_38]) ).

tff(c_36,plain,
    ( car(skc28)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_136,plain,
    car(skc28),
    inference(negUnitSimplification,[status(thm)],[c_121,c_36]) ).

tff(c_34,plain,
    ( chevy(skc28)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_131,plain,
    chevy(skc28),
    inference(negUnitSimplification,[status(thm)],[c_121,c_34]) ).

tff(c_94,plain,
    ( barrel(skc30,skc28)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_139,plain,
    barrel(skc30,skc28),
    inference(negUnitSimplification,[status(thm)],[c_121,c_94]) ).

tff(c_6,plain,
    street(skc29),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_44,plain,
    ( way(skc29)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_124,plain,
    way(skc29),
    inference(negUnitSimplification,[status(thm)],[c_121,c_44]) ).

tff(c_42,plain,
    ( lonely(skc29)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_128,plain,
    lonely(skc29),
    inference(negUnitSimplification,[status(thm)],[c_121,c_42]) ).

tff(c_96,plain,
    ( down(skc30,skc29)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_140,plain,
    down(skc30,skc29),
    inference(negUnitSimplification,[status(thm)],[c_121,c_96]) ).

tff(c_4,plain,
    event(skc30),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_46,plain,
    ( city(skc31)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_137,plain,
    city(skc31),
    inference(negUnitSimplification,[status(thm)],[c_121,c_46]) ).

tff(c_2,plain,
    hollywood(skc31),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_98,plain,
    ( in(skc30,skc31)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_154]) ).

tff(c_138,plain,
    in(skc30,skc31),
    inference(negUnitSimplification,[status(thm)],[c_121,c_98]) ).

tff(c_118,plain,
    ! [U_2,W_1,Z_3,X1_4,X_6,X2_5,Y_7,V_8] :
      ( ( Z_3 = X1_4 )
      | ssSkC0
      | ~ fellow(X1_4)
      | ~ man(X1_4)
      | ~ young(X1_4)
      | ~ seat(X2_5)
      | ~ furniture(X2_5)
      | ~ front(X2_5)
      | ~ in(X1_4,X2_5)
      | ~ young(Z_3)
      | ~ man(Z_3)
      | ~ fellow(Z_3)
      | ~ in(Z_3,Y_7)
      | ~ front(Y_7)
      | ~ furniture(Y_7)
      | ~ seat(Y_7)
      | ~ hollywood(X_6)
      | ~ city(X_6)
      | ~ in(W_1,X_6)
      | ~ down(W_1,U_2)
      | ~ barrel(W_1,V_8)
      | ~ event(W_1)
      | ~ chevy(V_8)
      | ~ car(V_8)
      | ~ white(V_8)
      | ~ dirty(V_8)
      | ~ old(V_8)
      | ~ lonely(U_2)
      | ~ way(U_2)
      | ~ street(U_2) ),
    inference(cnfTransformation,[status(thm)],[f_277]) ).

tff(c_143,plain,
    ! [U_2,W_1,Z_3,X1_4,X_6,X2_5,Y_7,V_8] :
      ( ( Z_3 = X1_4 )
      | ~ fellow(X1_4)
      | ~ man(X1_4)
      | ~ young(X1_4)
      | ~ seat(X2_5)
      | ~ furniture(X2_5)
      | ~ front(X2_5)
      | ~ in(X1_4,X2_5)
      | ~ young(Z_3)
      | ~ man(Z_3)
      | ~ fellow(Z_3)
      | ~ in(Z_3,Y_7)
      | ~ front(Y_7)
      | ~ furniture(Y_7)
      | ~ seat(Y_7)
      | ~ hollywood(X_6)
      | ~ city(X_6)
      | ~ in(W_1,X_6)
      | ~ down(W_1,U_2)
      | ~ barrel(W_1,V_8)
      | ~ event(W_1)
      | ~ chevy(V_8)
      | ~ car(V_8)
      | ~ white(V_8)
      | ~ dirty(V_8)
      | ~ old(V_8)
      | ~ lonely(U_2)
      | ~ way(U_2)
      | ~ street(U_2) ),
    inference(negUnitSimplification,[status(thm)],[c_121,c_118]) ).

tff(c_145,plain,
    ! [X_17,W_18,U_19,V_20] :
      ( ~ hollywood(X_17)
      | ~ city(X_17)
      | ~ in(W_18,X_17)
      | ~ down(W_18,U_19)
      | ~ barrel(W_18,V_20)
      | ~ event(W_18)
      | ~ chevy(V_20)
      | ~ car(V_20)
      | ~ white(V_20)
      | ~ dirty(V_20)
      | ~ old(V_20)
      | ~ lonely(U_19)
      | ~ way(U_19)
      | ~ street(U_19) ),
    inference(splitLeft,[status(thm)],[c_143]) ).

tff(c_151,plain,
    ! [U_19,V_20] :
      ( ~ hollywood(skc31)
      | ~ city(skc31)
      | ~ down(skc30,U_19)
      | ~ barrel(skc30,V_20)
      | ~ event(skc30)
      | ~ chevy(V_20)
      | ~ car(V_20)
      | ~ white(V_20)
      | ~ dirty(V_20)
      | ~ old(V_20)
      | ~ lonely(U_19)
      | ~ way(U_19)
      | ~ street(U_19) ),
    inference(resolution,[status(thm)],[c_138,c_145]) ).

tff(c_156,plain,
    ! [U_19,V_20] :
      ( ~ down(skc30,U_19)
      | ~ barrel(skc30,V_20)
      | ~ chevy(V_20)
      | ~ car(V_20)
      | ~ white(V_20)
      | ~ dirty(V_20)
      | ~ old(V_20)
      | ~ lonely(U_19)
      | ~ way(U_19)
      | ~ street(U_19) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_137,c_2,c_151]) ).

tff(c_158,plain,
    ! [U_21] :
      ( ~ down(skc30,U_21)
      | ~ lonely(U_21)
      | ~ way(U_21)
      | ~ street(U_21) ),
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_161,plain,
    ( ~ lonely(skc29)
    | ~ way(skc29)
    | ~ street(skc29) ),
    inference(resolution,[status(thm)],[c_140,c_158]) ).

tff(c_165,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_124,c_128,c_161]) ).

tff(c_167,plain,
    ! [V_22] :
      ( ~ barrel(skc30,V_22)
      | ~ chevy(V_22)
      | ~ car(V_22)
      | ~ white(V_22)
      | ~ dirty(V_22)
      | ~ old(V_22) ),
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_170,plain,
    ( ~ chevy(skc28)
    | ~ car(skc28)
    | ~ white(skc28)
    | ~ dirty(skc28)
    | ~ old(skc28) ),
    inference(resolution,[status(thm)],[c_139,c_167]) ).

tff(c_174,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_126,c_122,c_136,c_131,c_170]) ).

tff(c_176,plain,
    ! [Z_23,X1_24,X2_25,Y_26] :
      ( ( Z_23 = X1_24 )
      | ~ fellow(X1_24)
      | ~ man(X1_24)
      | ~ young(X1_24)
      | ~ seat(X2_25)
      | ~ furniture(X2_25)
      | ~ front(X2_25)
      | ~ in(X1_24,X2_25)
      | ~ young(Z_23)
      | ~ man(Z_23)
      | ~ fellow(Z_23)
      | ~ in(Z_23,Y_26)
      | ~ front(Y_26)
      | ~ furniture(Y_26)
      | ~ seat(Y_26) ),
    inference(splitRight,[status(thm)],[c_143]) ).

tff(c_178,plain,
    ! [Z_23,Y_26] :
      ( ( skc25 = Z_23 )
      | ~ fellow(skc25)
      | ~ man(skc25)
      | ~ young(skc25)
      | ~ seat(skc26)
      | ~ furniture(skc26)
      | ~ front(skc26)
      | ~ young(Z_23)
      | ~ man(Z_23)
      | ~ fellow(Z_23)
      | ~ in(Z_23,Y_26)
      | ~ front(Y_26)
      | ~ furniture(Y_26)
      | ~ seat(Y_26) ),
    inference(resolution,[status(thm)],[c_142,c_176]) ).

tff(c_190,plain,
    ! [Z_27,Y_28] :
      ( ( skc25 = Z_27 )
      | ~ young(Z_27)
      | ~ man(Z_27)
      | ~ fellow(Z_27)
      | ~ in(Z_27,Y_28)
      | ~ front(Y_28)
      | ~ furniture(Y_28)
      | ~ seat(Y_28) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_134,c_12,c_132,c_135,c_14,c_178]) ).

tff(c_196,plain,
    ( ( skc25 = skc24 )
    | ~ young(skc24)
    | ~ man(skc24)
    | ~ fellow(skc24)
    | ~ front(skc27)
    | ~ furniture(skc27)
    | ~ seat(skc27) ),
    inference(resolution,[status(thm)],[c_141,c_190]) ).

tff(c_206,plain,
    skc25 = skc24,
    inference(demodulation,[status(thm),theory(equality)],[c_129,c_127,c_10,c_133,c_123,c_16,c_196]) ).

tff(c_208,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_125,c_206]) ).

tff(c_210,plain,
    ssSkC0,
    inference(splitRight,[status(thm)],[c_82]) ).

tff(c_116,plain,
    ( ~ ssSkC0
    | ( skc17 != skc16 ) ),
    inference(cnfTransformation,[status(thm)],[f_189]) ).

tff(c_254,plain,
    skc17 != skc16,
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_116]) ).

tff(c_78,plain,
    ( seat(skc19)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_247,plain,
    seat(skc19),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_78]) ).

tff(c_80,plain,
    ( furniture(skc19)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_227,plain,
    furniture(skc19),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_80]) ).

tff(c_26,plain,
    front(skc19),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_209,plain,
    fellow(skc16),
    inference(splitRight,[status(thm)],[c_82]) ).

tff(c_84,plain,
    ( man(skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_252,plain,
    man(skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_84]) ).

tff(c_32,plain,
    young(skc16),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_110,plain,
    ( in(skc16,skc19)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_262,plain,
    in(skc16,skc19),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_110]) ).

tff(c_86,plain,
    ( front(skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_224,plain,
    front(skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_86]) ).

tff(c_88,plain,
    ( furniture(skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_222,plain,
    furniture(skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_88]) ).

tff(c_28,plain,
    seat(skc18),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_90,plain,
    ( young(skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_250,plain,
    young(skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_90]) ).

tff(c_92,plain,
    ( man(skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_256,plain,
    man(skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_92]) ).

tff(c_30,plain,
    fellow(skc17),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_112,plain,
    ( in(skc17,skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_267,plain,
    in(skc17,skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_112]) ).

tff(c_24,plain,
    lonely(skc20),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_66,plain,
    ( way(skc20)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_213,plain,
    way(skc20),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_66]) ).

tff(c_64,plain,
    ( street(skc20)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_242,plain,
    street(skc20),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_64]) ).

tff(c_106,plain,
    ( down(skc22,skc20)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_259,plain,
    down(skc22,skc20),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_106]) ).

tff(c_22,plain,
    chevy(skc21),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_74,plain,
    ( car(skc21)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_229,plain,
    car(skc21),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_74]) ).

tff(c_72,plain,
    ( white(skc21)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_105]) ).

tff(c_234,plain,
    white(skc21),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_72]) ).

tff(c_70,plain,
    ( dirty(skc21)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_219,plain,
    dirty(skc21),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_70]) ).

tff(c_68,plain,
    ( old(skc21)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_245,plain,
    old(skc21),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_68]) ).

tff(c_104,plain,
    ( barrel(skc22,skc21)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_271,plain,
    barrel(skc22,skc21),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_104]) ).

tff(c_20,plain,
    event(skc22),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_76,plain,
    ( city(skc23)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_231,plain,
    city(skc23),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_76]) ).

tff(c_18,plain,
    hollywood(skc23),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_108,plain,
    ( in(skc22,skc23)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_265,plain,
    in(skc22,skc23),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_108]) ).

tff(c_120,plain,
    ! [X1_12,X_14,X2_13,W_9,Y_15,Z_11,U_10,V_16] :
      ( ( Z_11 = X1_12 )
      | ~ ssSkC0
      | ~ fellow(X1_12)
      | ~ man(X1_12)
      | ~ young(X1_12)
      | ~ seat(X2_13)
      | ~ furniture(X2_13)
      | ~ front(X2_13)
      | ~ in(X1_12,X2_13)
      | ~ young(Z_11)
      | ~ man(Z_11)
      | ~ fellow(Z_11)
      | ~ in(Z_11,Y_15)
      | ~ front(Y_15)
      | ~ furniture(Y_15)
      | ~ seat(Y_15)
      | ~ hollywood(X_14)
      | ~ city(X_14)
      | ~ in(W_9,X_14)
      | ~ down(W_9,V_16)
      | ~ barrel(W_9,U_10)
      | ~ event(W_9)
      | ~ street(V_16)
      | ~ way(V_16)
      | ~ lonely(V_16)
      | ~ old(U_10)
      | ~ dirty(U_10)
      | ~ white(U_10)
      | ~ car(U_10)
      | ~ chevy(U_10) ),
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_274,plain,
    ! [X1_12,X_14,X2_13,W_9,Y_15,Z_11,U_10,V_16] :
      ( ( Z_11 = X1_12 )
      | ~ fellow(X1_12)
      | ~ man(X1_12)
      | ~ young(X1_12)
      | ~ seat(X2_13)
      | ~ furniture(X2_13)
      | ~ front(X2_13)
      | ~ in(X1_12,X2_13)
      | ~ young(Z_11)
      | ~ man(Z_11)
      | ~ fellow(Z_11)
      | ~ in(Z_11,Y_15)
      | ~ front(Y_15)
      | ~ furniture(Y_15)
      | ~ seat(Y_15)
      | ~ hollywood(X_14)
      | ~ city(X_14)
      | ~ in(W_9,X_14)
      | ~ down(W_9,V_16)
      | ~ barrel(W_9,U_10)
      | ~ event(W_9)
      | ~ street(V_16)
      | ~ way(V_16)
      | ~ lonely(V_16)
      | ~ old(U_10)
      | ~ dirty(U_10)
      | ~ white(U_10)
      | ~ car(U_10)
      | ~ chevy(U_10) ),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_120]) ).

tff(c_276,plain,
    ! [X_29,W_30,V_31,U_32] :
      ( ~ hollywood(X_29)
      | ~ city(X_29)
      | ~ in(W_30,X_29)
      | ~ down(W_30,V_31)
      | ~ barrel(W_30,U_32)
      | ~ event(W_30)
      | ~ street(V_31)
      | ~ way(V_31)
      | ~ lonely(V_31)
      | ~ old(U_32)
      | ~ dirty(U_32)
      | ~ white(U_32)
      | ~ car(U_32)
      | ~ chevy(U_32) ),
    inference(splitLeft,[status(thm)],[c_274]) ).

tff(c_280,plain,
    ! [V_31,U_32] :
      ( ~ hollywood(skc23)
      | ~ city(skc23)
      | ~ down(skc22,V_31)
      | ~ barrel(skc22,U_32)
      | ~ event(skc22)
      | ~ street(V_31)
      | ~ way(V_31)
      | ~ lonely(V_31)
      | ~ old(U_32)
      | ~ dirty(U_32)
      | ~ white(U_32)
      | ~ car(U_32)
      | ~ chevy(U_32) ),
    inference(resolution,[status(thm)],[c_265,c_276]) ).

tff(c_286,plain,
    ! [V_31,U_32] :
      ( ~ down(skc22,V_31)
      | ~ barrel(skc22,U_32)
      | ~ street(V_31)
      | ~ way(V_31)
      | ~ lonely(V_31)
      | ~ old(U_32)
      | ~ dirty(U_32)
      | ~ white(U_32)
      | ~ car(U_32)
      | ~ chevy(U_32) ),
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_231,c_18,c_280]) ).

tff(c_289,plain,
    ! [U_33] :
      ( ~ barrel(skc22,U_33)
      | ~ old(U_33)
      | ~ dirty(U_33)
      | ~ white(U_33)
      | ~ car(U_33)
      | ~ chevy(U_33) ),
    inference(splitLeft,[status(thm)],[c_286]) ).

tff(c_292,plain,
    ( ~ old(skc21)
    | ~ dirty(skc21)
    | ~ white(skc21)
    | ~ car(skc21)
    | ~ chevy(skc21) ),
    inference(resolution,[status(thm)],[c_271,c_289]) ).

tff(c_296,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_229,c_234,c_219,c_245,c_292]) ).

tff(c_298,plain,
    ! [V_34] :
      ( ~ down(skc22,V_34)
      | ~ street(V_34)
      | ~ way(V_34)
      | ~ lonely(V_34) ),
    inference(splitRight,[status(thm)],[c_286]) ).

tff(c_301,plain,
    ( ~ street(skc20)
    | ~ way(skc20)
    | ~ lonely(skc20) ),
    inference(resolution,[status(thm)],[c_259,c_298]) ).

tff(c_305,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_213,c_242,c_301]) ).

tff(c_307,plain,
    ! [Z_35,X1_36,X2_37,Y_38] :
      ( ( Z_35 = X1_36 )
      | ~ fellow(X1_36)
      | ~ man(X1_36)
      | ~ young(X1_36)
      | ~ seat(X2_37)
      | ~ furniture(X2_37)
      | ~ front(X2_37)
      | ~ in(X1_36,X2_37)
      | ~ young(Z_35)
      | ~ man(Z_35)
      | ~ fellow(Z_35)
      | ~ in(Z_35,Y_38)
      | ~ front(Y_38)
      | ~ furniture(Y_38)
      | ~ seat(Y_38) ),
    inference(splitRight,[status(thm)],[c_274]) ).

tff(c_309,plain,
    ! [Z_35,Y_38] :
      ( ( skc17 = Z_35 )
      | ~ fellow(skc17)
      | ~ man(skc17)
      | ~ young(skc17)
      | ~ seat(skc18)
      | ~ furniture(skc18)
      | ~ front(skc18)
      | ~ young(Z_35)
      | ~ man(Z_35)
      | ~ fellow(Z_35)
      | ~ in(Z_35,Y_38)
      | ~ front(Y_38)
      | ~ furniture(Y_38)
      | ~ seat(Y_38) ),
    inference(resolution,[status(thm)],[c_267,c_307]) ).

tff(c_321,plain,
    ! [Z_39,Y_40] :
      ( ( skc17 = Z_39 )
      | ~ young(Z_39)
      | ~ man(Z_39)
      | ~ fellow(Z_39)
      | ~ in(Z_39,Y_40)
      | ~ front(Y_40)
      | ~ furniture(Y_40)
      | ~ seat(Y_40) ),
    inference(demodulation,[status(thm),theory(equality)],[c_224,c_222,c_28,c_250,c_256,c_30,c_309]) ).

tff(c_330,plain,
    ( ( skc17 = skc16 )
    | ~ young(skc16)
    | ~ man(skc16)
    | ~ fellow(skc16)
    | ~ front(skc19)
    | ~ furniture(skc19)
    | ~ seat(skc19) ),
    inference(resolution,[status(thm)],[c_262,c_321]) ).

tff(c_338,plain,
    skc17 = skc16,
    inference(demodulation,[status(thm),theory(equality)],[c_247,c_227,c_26,c_209,c_252,c_32,c_330]) ).

tff(c_340,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_254,c_338]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : NLP004-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 12:55:33 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 4.10/2.05  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.10/2.07  
% 4.10/2.07  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.10/2.13  
% 4.10/2.13  Inference rules
% 4.10/2.13  ----------------------
% 4.10/2.13  #Ref     : 0
% 4.10/2.13  #Sup     : 22
% 4.10/2.13  #Fact    : 0
% 4.10/2.13  #Define  : 0
% 4.10/2.13  #Split   : 5
% 4.10/2.13  #Chain   : 0
% 4.10/2.13  #Close   : 0
% 4.10/2.13  
% 4.10/2.13  Ordering : KBO
% 4.10/2.13  
% 4.10/2.13  Simplification rules
% 4.10/2.13  ----------------------
% 4.10/2.13  #Subsume      : 21
% 4.10/2.13  #Demod        : 113
% 4.10/2.13  #Tautology    : 24
% 4.10/2.13  #SimpNegUnit  : 24
% 4.10/2.13  #BackRed      : 0
% 4.10/2.13  
% 4.10/2.13  #Partial instantiations: 0
% 4.10/2.13  #Strategies tried      : 1
% 4.10/2.13  
% 4.10/2.13  Timing (in seconds)
% 4.10/2.13  ----------------------
% 4.10/2.13  Preprocessing        : 0.55
% 4.10/2.13  Parsing              : 0.29
% 4.10/2.13  CNF conversion       : 0.03
% 4.10/2.13  Main loop            : 0.39
% 4.10/2.13  Inferencing          : 0.13
% 4.10/2.13  Reduction            : 0.12
% 4.10/2.13  Demodulation         : 0.09
% 4.10/2.13  BG Simplification    : 0.03
% 4.10/2.13  Subsumption          : 0.07
% 4.10/2.13  Abstraction          : 0.01
% 4.10/2.13  MUC search           : 0.00
% 4.10/2.13  Cooper               : 0.00
% 4.10/2.13  Total                : 1.02
% 4.10/2.13  Index Insertion      : 0.00
% 4.10/2.13  Index Deletion       : 0.00
% 4.10/2.13  Index Matching       : 0.00
% 4.10/2.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------