TSTP Solution File: NLP009-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP009-1 : 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 : 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 10:49:58 EDT 2023

% Result   : Unsatisfiable 3.73s 2.01s
% Output   : CNFRefutation 4.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   89
% Syntax   : Number of formulae    :  215 (  76 unt;  35 typ;   0 def)
%            Number of atoms       :  562 (  22 equ)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives :  745 ( 363   ~; 382   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   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    :   14 (  14 usr;  14 con; 0-0 aty)
%            Number of variables   :   72 (;  72   !;   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 > skc27 > skc26 > skc25 > skc24 > skc23 > skc22 > skc21 > skc20 > skc19 > skc18 > skc17 > skc16 > skc15 > skc14

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

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

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

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

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

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(skc15,type,
    skc15: $i ).

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

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

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

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

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

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

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

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

tff(f_71,axiom,
    ( ssSkC0
    | man(skc22) ),
    file(unknown,unknown) ).

tff(f_173,axiom,
    ( ( skc15 != skc14 )
    | ~ ssSkC0 ),
    file(unknown,unknown) ).

tff(f_109,axiom,
    ( ~ ssSkC0
    | young(skc14) ),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ( ~ ssSkC0
    | man(skc14) ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    fellow(skc14),
    file(unknown,unknown) ).

tff(f_160,axiom,
    ( ~ ssSkC0
    | in(skc14,skc16) ),
    file(unknown,unknown) ).

tff(f_117,axiom,
    ( ~ ssSkC0
    | fellow(skc15) ),
    file(unknown,unknown) ).

tff(f_121,axiom,
    ( ~ ssSkC0
    | man(skc15) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    young(skc15),
    file(unknown,unknown) ).

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

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

tff(f_36,axiom,
    seat(skc16),
    file(unknown,unknown) ).

tff(f_164,axiom,
    ( ~ ssSkC0
    | in(skc15,skc16) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    lonely(skc17),
    file(unknown,unknown) ).

tff(f_85,axiom,
    ( ~ ssSkC0
    | way(skc17) ),
    file(unknown,unknown) ).

tff(f_81,axiom,
    ( ~ ssSkC0
    | street(skc17) ),
    file(unknown,unknown) ).

tff(f_152,axiom,
    ( ~ ssSkC0
    | down(skc19,skc17) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    chevy(skc18),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ( ~ ssSkC0
    | car(skc18) ),
    file(unknown,unknown) ).

tff(f_97,axiom,
    ( ~ ssSkC0
    | white(skc18) ),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ( ~ ssSkC0
    | dirty(skc18) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ( ~ ssSkC0
    | old(skc18) ),
    file(unknown,unknown) ).

tff(f_148,axiom,
    ( ~ ssSkC0
    | barrel(skc19,skc18) ),
    file(unknown,unknown) ).

tff(f_33,axiom,
    event(skc19),
    file(unknown,unknown) ).

tff(f_105,axiom,
    ( ~ ssSkC0
    | city(skc20) ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    hollywood(skc20),
    file(unknown,unknown) ).

tff(f_156,axiom,
    ( ~ ssSkC0
    | in(skc19,skc20) ),
    file(unknown,unknown) ).

tff(f_332,axiom,
    ! [W,U,Z,X1,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)
      | ~ young(Y)
      | ~ man(Y)
      | ~ fellow(Y)
      | ~ fellow(Z)
      | ~ man(Z)
      | ~ young(Z)
      | ~ in(Y,X1)
      | ~ in(Z,X1)
      | ~ front(X1)
      | ~ furniture(X1)
      | ~ seat(X1)
      | ~ ssSkC0
      | ( Z = Y ) ),
    file(unknown,unknown) ).

tff(f_168,axiom,
    ( ( skc22 != skc21 )
    | ssSkC0 ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    young(skc22),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ( ssSkC0
    | fellow(skc22) ),
    file(unknown,unknown) ).

tff(f_144,axiom,
    ( ssSkC0
    | in(skc22,skc23) ),
    file(unknown,unknown) ).

tff(f_31,axiom,
    fellow(skc21),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ( ssSkC0
    | man(skc21) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ( ssSkC0
    | young(skc21) ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    ( ssSkC0
    | front(skc23) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ( ssSkC0
    | furniture(skc23) ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    seat(skc23),
    file(unknown,unknown) ).

tff(f_141,axiom,
    ( ssSkC0
    | in(skc21,skc23) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    old(skc24),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ( ssSkC0
    | dirty(skc24) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ( ssSkC0
    | white(skc24) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( ssSkC0
    | car(skc24) ),
    file(unknown,unknown) ).

tff(f_41,axiom,
    ( ssSkC0
    | chevy(skc24) ),
    file(unknown,unknown) ).

tff(f_132,axiom,
    ( ssSkC0
    | barrel(skc26,skc24) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    street(skc25),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ( ssSkC0
    | way(skc25) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ( ssSkC0
    | lonely(skc25) ),
    file(unknown,unknown) ).

tff(f_135,axiom,
    ( ssSkC0
    | down(skc26,skc25) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    event(skc26),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ( ssSkC0
    | city(skc27) ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    hollywood(skc27),
    file(unknown,unknown) ).

tff(f_138,axiom,
    ( ssSkC0
    | in(skc26,skc27) ),
    file(unknown,unknown) ).

tff(f_252,axiom,
    ! [W,U,Z,X1,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)
      | ~ young(Y)
      | ~ man(Y)
      | ~ fellow(Y)
      | ~ fellow(Z)
      | ~ man(Z)
      | ~ young(Z)
      | ~ in(Y,X1)
      | ~ in(Z,X1)
      | ~ front(X1)
      | ~ furniture(X1)
      | ~ seat(X1)
      | ssSkC0
      | ( Z = Y ) ),
    file(unknown,unknown) ).

tff(c_50,plain,
    ( man(skc22)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_109,plain,
    ssSkC0,
    inference(splitLeft,[status(thm)],[c_50]) ).

tff(c_104,plain,
    ( ~ ssSkC0
    | ( skc15 != skc14 ) ),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_121,plain,
    skc15 != skc14,
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_104]) ).

tff(c_70,plain,
    ( young(skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_141,plain,
    young(skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_70]) ).

tff(c_72,plain,
    ( man(skc14)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_123,plain,
    man(skc14),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_72]) ).

tff(c_28,plain,
    fellow(skc14),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_98,plain,
    ( in(skc14,skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_160]) ).

tff(c_152,plain,
    in(skc14,skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_98]) ).

tff(c_74,plain,
    ( fellow(skc15)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_131,plain,
    fellow(skc15),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_74]) ).

tff(c_76,plain,
    ( man(skc15)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_112,plain,
    man(skc15),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_76]) ).

tff(c_26,plain,
    young(skc15),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_78,plain,
    ( front(skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_115,plain,
    front(skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_78]) ).

tff(c_80,plain,
    ( furniture(skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_133,plain,
    furniture(skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_80]) ).

tff(c_24,plain,
    seat(skc16),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_100,plain,
    ( in(skc15,skc16)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_165,plain,
    in(skc15,skc16),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_100]) ).

tff(c_22,plain,
    lonely(skc17),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_58,plain,
    ( way(skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_149,plain,
    way(skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_58]) ).

tff(c_56,plain,
    ( street(skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_139,plain,
    street(skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_56]) ).

tff(c_94,plain,
    ( down(skc19,skc17)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_160,plain,
    down(skc19,skc17),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_94]) ).

tff(c_20,plain,
    chevy(skc18),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_66,plain,
    ( car(skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_136,plain,
    car(skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_66]) ).

tff(c_64,plain,
    ( white(skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_146,plain,
    white(skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_64]) ).

tff(c_62,plain,
    ( dirty(skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_119,plain,
    dirty(skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_62]) ).

tff(c_60,plain,
    ( old(skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_144,plain,
    old(skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_60]) ).

tff(c_92,plain,
    ( barrel(skc19,skc18)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_162,plain,
    barrel(skc19,skc18),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_92]) ).

tff(c_18,plain,
    event(skc19),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_68,plain,
    ( city(skc20)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_105]) ).

tff(c_125,plain,
    city(skc20),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_68]) ).

tff(c_16,plain,
    hollywood(skc20),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_96,plain,
    ( in(skc19,skc20)
    | ~ ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_155,plain,
    in(skc19,skc20),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_96]) ).

tff(c_108,plain,
    ! [W_8,V_14,Z_10,Y_13,X_12,U_9,X1_11] :
      ( ( Z_10 = Y_13 )
      | ~ ssSkC0
      | ~ seat(X1_11)
      | ~ furniture(X1_11)
      | ~ front(X1_11)
      | ~ in(Z_10,X1_11)
      | ~ in(Y_13,X1_11)
      | ~ young(Z_10)
      | ~ man(Z_10)
      | ~ fellow(Z_10)
      | ~ fellow(Y_13)
      | ~ man(Y_13)
      | ~ young(Y_13)
      | ~ hollywood(X_12)
      | ~ city(X_12)
      | ~ in(W_8,X_12)
      | ~ down(W_8,V_14)
      | ~ barrel(W_8,U_9)
      | ~ event(W_8)
      | ~ street(V_14)
      | ~ way(V_14)
      | ~ lonely(V_14)
      | ~ old(U_9)
      | ~ dirty(U_9)
      | ~ white(U_9)
      | ~ car(U_9)
      | ~ chevy(U_9) ),
    inference(cnfTransformation,[status(thm)],[f_332]) ).

tff(c_167,plain,
    ! [W_8,V_14,Z_10,Y_13,X_12,U_9,X1_11] :
      ( ( Z_10 = Y_13 )
      | ~ seat(X1_11)
      | ~ furniture(X1_11)
      | ~ front(X1_11)
      | ~ in(Z_10,X1_11)
      | ~ in(Y_13,X1_11)
      | ~ young(Z_10)
      | ~ man(Z_10)
      | ~ fellow(Z_10)
      | ~ fellow(Y_13)
      | ~ man(Y_13)
      | ~ young(Y_13)
      | ~ hollywood(X_12)
      | ~ city(X_12)
      | ~ in(W_8,X_12)
      | ~ down(W_8,V_14)
      | ~ barrel(W_8,U_9)
      | ~ event(W_8)
      | ~ street(V_14)
      | ~ way(V_14)
      | ~ lonely(V_14)
      | ~ old(U_9)
      | ~ dirty(U_9)
      | ~ white(U_9)
      | ~ car(U_9)
      | ~ chevy(U_9) ),
    inference(demodulation,[status(thm),theory(equality)],[c_109,c_108]) ).

tff(c_169,plain,
    ! [X_15,W_16,V_17,U_18] :
      ( ~ hollywood(X_15)
      | ~ city(X_15)
      | ~ in(W_16,X_15)
      | ~ down(W_16,V_17)
      | ~ barrel(W_16,U_18)
      | ~ event(W_16)
      | ~ street(V_17)
      | ~ way(V_17)
      | ~ lonely(V_17)
      | ~ old(U_18)
      | ~ dirty(U_18)
      | ~ white(U_18)
      | ~ car(U_18)
      | ~ chevy(U_18) ),
    inference(splitLeft,[status(thm)],[c_167]) ).

tff(c_173,plain,
    ! [V_17,U_18] :
      ( ~ hollywood(skc20)
      | ~ city(skc20)
      | ~ down(skc19,V_17)
      | ~ barrel(skc19,U_18)
      | ~ event(skc19)
      | ~ street(V_17)
      | ~ way(V_17)
      | ~ lonely(V_17)
      | ~ old(U_18)
      | ~ dirty(U_18)
      | ~ white(U_18)
      | ~ car(U_18)
      | ~ chevy(U_18) ),
    inference(resolution,[status(thm)],[c_155,c_169]) ).

tff(c_179,plain,
    ! [V_17,U_18] :
      ( ~ down(skc19,V_17)
      | ~ barrel(skc19,U_18)
      | ~ street(V_17)
      | ~ way(V_17)
      | ~ lonely(V_17)
      | ~ old(U_18)
      | ~ dirty(U_18)
      | ~ white(U_18)
      | ~ car(U_18)
      | ~ chevy(U_18) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_125,c_16,c_173]) ).

tff(c_183,plain,
    ! [U_19] :
      ( ~ barrel(skc19,U_19)
      | ~ old(U_19)
      | ~ dirty(U_19)
      | ~ white(U_19)
      | ~ car(U_19)
      | ~ chevy(U_19) ),
    inference(splitLeft,[status(thm)],[c_179]) ).

tff(c_186,plain,
    ( ~ old(skc18)
    | ~ dirty(skc18)
    | ~ white(skc18)
    | ~ car(skc18)
    | ~ chevy(skc18) ),
    inference(resolution,[status(thm)],[c_162,c_183]) ).

tff(c_190,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_136,c_146,c_119,c_144,c_186]) ).

tff(c_192,plain,
    ! [V_20] :
      ( ~ down(skc19,V_20)
      | ~ street(V_20)
      | ~ way(V_20)
      | ~ lonely(V_20) ),
    inference(splitRight,[status(thm)],[c_179]) ).

tff(c_195,plain,
    ( ~ street(skc17)
    | ~ way(skc17)
    | ~ lonely(skc17) ),
    inference(resolution,[status(thm)],[c_160,c_192]) ).

tff(c_199,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_149,c_139,c_195]) ).

tff(c_202,plain,
    ! [Z_21,Y_22,X1_23] :
      ( ( Z_21 = Y_22 )
      | ~ seat(X1_23)
      | ~ furniture(X1_23)
      | ~ front(X1_23)
      | ~ in(Z_21,X1_23)
      | ~ in(Y_22,X1_23)
      | ~ young(Z_21)
      | ~ man(Z_21)
      | ~ fellow(Z_21)
      | ~ fellow(Y_22)
      | ~ man(Y_22)
      | ~ young(Y_22) ),
    inference(splitRight,[status(thm)],[c_167]) ).

tff(c_204,plain,
    ! [Y_22] :
      ( ( skc15 = Y_22 )
      | ~ seat(skc16)
      | ~ furniture(skc16)
      | ~ front(skc16)
      | ~ in(Y_22,skc16)
      | ~ young(skc15)
      | ~ man(skc15)
      | ~ fellow(skc15)
      | ~ fellow(Y_22)
      | ~ man(Y_22)
      | ~ young(Y_22) ),
    inference(resolution,[status(thm)],[c_165,c_202]) ).

tff(c_216,plain,
    ! [Y_24] :
      ( ( skc15 = Y_24 )
      | ~ in(Y_24,skc16)
      | ~ fellow(Y_24)
      | ~ man(Y_24)
      | ~ young(Y_24) ),
    inference(demodulation,[status(thm),theory(equality)],[c_131,c_112,c_26,c_115,c_133,c_24,c_204]) ).

tff(c_222,plain,
    ( ( skc15 = skc14 )
    | ~ fellow(skc14)
    | ~ man(skc14)
    | ~ young(skc14) ),
    inference(resolution,[status(thm)],[c_152,c_216]) ).

tff(c_229,plain,
    skc15 = skc14,
    inference(demodulation,[status(thm),theory(equality)],[c_141,c_123,c_28,c_222]) ).

tff(c_231,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_121,c_229]) ).

tff(c_233,plain,
    ~ ssSkC0,
    inference(splitRight,[status(thm)],[c_50]) ).

tff(c_102,plain,
    ( ssSkC0
    | ( skc22 != skc21 ) ),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_243,plain,
    skc22 != skc21,
    inference(negUnitSimplification,[status(thm)],[c_233,c_102]) ).

tff(c_12,plain,
    young(skc22),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_232,plain,
    man(skc22),
    inference(splitRight,[status(thm)],[c_50]) ).

tff(c_48,plain,
    ( fellow(skc22)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_246,plain,
    fellow(skc22),
    inference(negUnitSimplification,[status(thm)],[c_233,c_48]) ).

tff(c_90,plain,
    ( in(skc22,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_144]) ).

tff(c_247,plain,
    in(skc22,skc23),
    inference(negUnitSimplification,[status(thm)],[c_233,c_90]) ).

tff(c_14,plain,
    fellow(skc21),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_46,plain,
    ( man(skc21)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_244,plain,
    man(skc21),
    inference(negUnitSimplification,[status(thm)],[c_233,c_46]) ).

tff(c_44,plain,
    ( young(skc21)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_237,plain,
    young(skc21),
    inference(negUnitSimplification,[status(thm)],[c_233,c_44]) ).

tff(c_52,plain,
    ( front(skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_238,plain,
    front(skc23),
    inference(negUnitSimplification,[status(thm)],[c_233,c_52]) ).

tff(c_54,plain,
    ( furniture(skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_235,plain,
    furniture(skc23),
    inference(negUnitSimplification,[status(thm)],[c_233,c_54]) ).

tff(c_10,plain,
    seat(skc23),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_88,plain,
    ( in(skc21,skc23)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_248,plain,
    in(skc21,skc23),
    inference(negUnitSimplification,[status(thm)],[c_233,c_88]) ).

tff(c_8,plain,
    old(skc24),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_36,plain,
    ( dirty(skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_241,plain,
    dirty(skc24),
    inference(negUnitSimplification,[status(thm)],[c_233,c_36]) ).

tff(c_34,plain,
    ( white(skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_239,plain,
    white(skc24),
    inference(negUnitSimplification,[status(thm)],[c_233,c_34]) ).

tff(c_32,plain,
    ( car(skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_242,plain,
    car(skc24),
    inference(negUnitSimplification,[status(thm)],[c_233,c_32]) ).

tff(c_30,plain,
    ( chevy(skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_236,plain,
    chevy(skc24),
    inference(negUnitSimplification,[status(thm)],[c_233,c_30]) ).

tff(c_82,plain,
    ( barrel(skc26,skc24)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_250,plain,
    barrel(skc26,skc24),
    inference(negUnitSimplification,[status(thm)],[c_233,c_82]) ).

tff(c_6,plain,
    street(skc25),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_40,plain,
    ( way(skc25)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_245,plain,
    way(skc25),
    inference(negUnitSimplification,[status(thm)],[c_233,c_40]) ).

tff(c_38,plain,
    ( lonely(skc25)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_240,plain,
    lonely(skc25),
    inference(negUnitSimplification,[status(thm)],[c_233,c_38]) ).

tff(c_84,plain,
    ( down(skc26,skc25)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_249,plain,
    down(skc26,skc25),
    inference(negUnitSimplification,[status(thm)],[c_233,c_84]) ).

tff(c_4,plain,
    event(skc26),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_42,plain,
    ( city(skc27)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_234,plain,
    city(skc27),
    inference(negUnitSimplification,[status(thm)],[c_233,c_42]) ).

tff(c_2,plain,
    hollywood(skc27),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_86,plain,
    ( in(skc26,skc27)
    | ssSkC0 ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_251,plain,
    in(skc26,skc27),
    inference(negUnitSimplification,[status(thm)],[c_233,c_86]) ).

tff(c_106,plain,
    ! [V_7,U_2,W_1,Z_3,Y_6,X1_4,X_5] :
      ( ( Z_3 = Y_6 )
      | ssSkC0
      | ~ seat(X1_4)
      | ~ furniture(X1_4)
      | ~ front(X1_4)
      | ~ in(Z_3,X1_4)
      | ~ in(Y_6,X1_4)
      | ~ young(Z_3)
      | ~ man(Z_3)
      | ~ fellow(Z_3)
      | ~ fellow(Y_6)
      | ~ man(Y_6)
      | ~ young(Y_6)
      | ~ hollywood(X_5)
      | ~ city(X_5)
      | ~ in(W_1,X_5)
      | ~ down(W_1,U_2)
      | ~ barrel(W_1,V_7)
      | ~ event(W_1)
      | ~ chevy(V_7)
      | ~ car(V_7)
      | ~ white(V_7)
      | ~ dirty(V_7)
      | ~ old(V_7)
      | ~ lonely(U_2)
      | ~ way(U_2)
      | ~ street(U_2) ),
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_252,plain,
    ! [V_7,U_2,W_1,Z_3,Y_6,X1_4,X_5] :
      ( ( Z_3 = Y_6 )
      | ~ seat(X1_4)
      | ~ furniture(X1_4)
      | ~ front(X1_4)
      | ~ in(Z_3,X1_4)
      | ~ in(Y_6,X1_4)
      | ~ young(Z_3)
      | ~ man(Z_3)
      | ~ fellow(Z_3)
      | ~ fellow(Y_6)
      | ~ man(Y_6)
      | ~ young(Y_6)
      | ~ hollywood(X_5)
      | ~ city(X_5)
      | ~ in(W_1,X_5)
      | ~ down(W_1,U_2)
      | ~ barrel(W_1,V_7)
      | ~ event(W_1)
      | ~ chevy(V_7)
      | ~ car(V_7)
      | ~ white(V_7)
      | ~ dirty(V_7)
      | ~ old(V_7)
      | ~ lonely(U_2)
      | ~ way(U_2)
      | ~ street(U_2) ),
    inference(negUnitSimplification,[status(thm)],[c_233,c_106]) ).

tff(c_254,plain,
    ! [X_25,W_26,U_27,V_28] :
      ( ~ hollywood(X_25)
      | ~ city(X_25)
      | ~ in(W_26,X_25)
      | ~ down(W_26,U_27)
      | ~ barrel(W_26,V_28)
      | ~ event(W_26)
      | ~ chevy(V_28)
      | ~ car(V_28)
      | ~ white(V_28)
      | ~ dirty(V_28)
      | ~ old(V_28)
      | ~ lonely(U_27)
      | ~ way(U_27)
      | ~ street(U_27) ),
    inference(splitLeft,[status(thm)],[c_252]) ).

tff(c_256,plain,
    ! [U_27,V_28] :
      ( ~ hollywood(skc27)
      | ~ city(skc27)
      | ~ down(skc26,U_27)
      | ~ barrel(skc26,V_28)
      | ~ event(skc26)
      | ~ chevy(V_28)
      | ~ car(V_28)
      | ~ white(V_28)
      | ~ dirty(V_28)
      | ~ old(V_28)
      | ~ lonely(U_27)
      | ~ way(U_27)
      | ~ street(U_27) ),
    inference(resolution,[status(thm)],[c_251,c_254]) ).

tff(c_263,plain,
    ! [U_27,V_28] :
      ( ~ down(skc26,U_27)
      | ~ barrel(skc26,V_28)
      | ~ chevy(V_28)
      | ~ car(V_28)
      | ~ white(V_28)
      | ~ dirty(V_28)
      | ~ old(V_28)
      | ~ lonely(U_27)
      | ~ way(U_27)
      | ~ street(U_27) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_234,c_2,c_256]) ).

tff(c_267,plain,
    ! [U_29] :
      ( ~ down(skc26,U_29)
      | ~ lonely(U_29)
      | ~ way(U_29)
      | ~ street(U_29) ),
    inference(splitLeft,[status(thm)],[c_263]) ).

tff(c_270,plain,
    ( ~ lonely(skc25)
    | ~ way(skc25)
    | ~ street(skc25) ),
    inference(resolution,[status(thm)],[c_249,c_267]) ).

tff(c_274,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_245,c_240,c_270]) ).

tff(c_276,plain,
    ! [V_30] :
      ( ~ barrel(skc26,V_30)
      | ~ chevy(V_30)
      | ~ car(V_30)
      | ~ white(V_30)
      | ~ dirty(V_30)
      | ~ old(V_30) ),
    inference(splitRight,[status(thm)],[c_263]) ).

tff(c_279,plain,
    ( ~ chevy(skc24)
    | ~ car(skc24)
    | ~ white(skc24)
    | ~ dirty(skc24)
    | ~ old(skc24) ),
    inference(resolution,[status(thm)],[c_250,c_276]) ).

tff(c_283,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_241,c_239,c_242,c_236,c_279]) ).

tff(c_285,plain,
    ! [Z_31,Y_32,X1_33] :
      ( ( Z_31 = Y_32 )
      | ~ seat(X1_33)
      | ~ furniture(X1_33)
      | ~ front(X1_33)
      | ~ in(Z_31,X1_33)
      | ~ in(Y_32,X1_33)
      | ~ young(Z_31)
      | ~ man(Z_31)
      | ~ fellow(Z_31)
      | ~ fellow(Y_32)
      | ~ man(Y_32)
      | ~ young(Y_32) ),
    inference(splitRight,[status(thm)],[c_252]) ).

tff(c_289,plain,
    ! [Y_32] :
      ( ( skc21 = Y_32 )
      | ~ seat(skc23)
      | ~ furniture(skc23)
      | ~ front(skc23)
      | ~ in(Y_32,skc23)
      | ~ young(skc21)
      | ~ man(skc21)
      | ~ fellow(skc21)
      | ~ fellow(Y_32)
      | ~ man(Y_32)
      | ~ young(Y_32) ),
    inference(resolution,[status(thm)],[c_248,c_285]) ).

tff(c_299,plain,
    ! [Y_34] :
      ( ( skc21 = Y_34 )
      | ~ in(Y_34,skc23)
      | ~ fellow(Y_34)
      | ~ man(Y_34)
      | ~ young(Y_34) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_244,c_237,c_238,c_235,c_10,c_289]) ).

tff(c_305,plain,
    ( ( skc22 = skc21 )
    | ~ fellow(skc22)
    | ~ man(skc22)
    | ~ young(skc22) ),
    inference(resolution,[status(thm)],[c_247,c_299]) ).

tff(c_312,plain,
    skc22 = skc21,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_232,c_246,c_305]) ).

tff(c_314,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_243,c_312]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP009-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 13:01:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.73/2.01  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/2.02  
% 3.73/2.02  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.05/2.07  
% 4.05/2.07  Inference rules
% 4.05/2.07  ----------------------
% 4.05/2.07  #Ref     : 0
% 4.05/2.07  #Sup     : 20
% 4.05/2.07  #Fact    : 0
% 4.05/2.07  #Define  : 0
% 4.05/2.07  #Split   : 5
% 4.05/2.07  #Chain   : 0
% 4.19/2.07  #Close   : 0
% 4.19/2.07  
% 4.19/2.07  Ordering : KBO
% 4.19/2.07  
% 4.19/2.07  Simplification rules
% 4.19/2.07  ----------------------
% 4.19/2.07  #Subsume      : 21
% 4.19/2.07  #Demod        : 98
% 4.19/2.07  #Tautology    : 21
% 4.19/2.07  #SimpNegUnit  : 21
% 4.19/2.07  #BackRed      : 0
% 4.19/2.07  
% 4.19/2.07  #Partial instantiations: 0
% 4.19/2.07  #Strategies tried      : 1
% 4.19/2.07  
% 4.19/2.07  Timing (in seconds)
% 4.19/2.07  ----------------------
% 4.19/2.08  Preprocessing        : 0.54
% 4.19/2.08  Parsing              : 0.29
% 4.19/2.08  CNF conversion       : 0.03
% 4.19/2.08  Main loop            : 0.36
% 4.19/2.08  Inferencing          : 0.12
% 4.19/2.08  Reduction            : 0.11
% 4.19/2.08  Demodulation         : 0.08
% 4.19/2.08  BG Simplification    : 0.04
% 4.19/2.08  Subsumption          : 0.07
% 4.19/2.08  Abstraction          : 0.01
% 4.19/2.08  MUC search           : 0.00
% 4.19/2.08  Cooper               : 0.00
% 4.19/2.08  Total                : 0.99
% 4.19/2.08  Index Insertion      : 0.00
% 4.19/2.08  Index Deletion       : 0.00
% 4.19/2.08  Index Matching       : 0.00
% 4.19/2.08  BG Taut test         : 0.00
%------------------------------------------------------------------------------