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Beagle---0.9.52.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : NLP258-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n009.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 : Wed Apr  9 07:48:49 PM UTC 2025

% Result   : Unsatisfiable 12.72s 4.15s
% Output   : CNFRefutation 12.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  107 (  60 unt;   0 typ;   0 def)
%            Number of atoms       :  505 (   0 equ)
%            Maximal formula atoms :   33 (   4 avg)
%            Number of connectives :  830 ( 432   ~; 398   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   46 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   37 (  36 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-1 aty)
%            Number of variables   :  160 ( 160   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ be > theme > of > agent > vincent_forename > unisex > think_believe_consider > thing > state > specific > smoke > singleton > relname > relation > proposition > present > organism > nonhuman > nonexistent > man > male > living > jules_forename > impartial > human_person > human > general > forename > existent > eventuality > event > entity > animate > accessible_world > abstraction > actual_world > #nlpp > skf4 > skf2 > skc9 > skc8 > skc15 > skc14 > skc13 > skc12 > skc11 > skc10

%Foreground sorts:

%Background operators:

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

tff(skf4,type,
    skf4: $i > $i ).

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

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

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

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

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

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

tff(skc11,type,
    skc11: $i ).

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

tff(skc9,type,
    skc9: $i ).

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

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

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

tff(skc8,type,
    skc8: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(skf2,type,
    skf2: $i > $i ).

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

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

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

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

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

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

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

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

tff(f_531,axiom,
    proposition(skc8,skc12),
    file(unknown,unknown) ).

tff(f_530,axiom,
    accessible_world(skc8,skc12),
    file(unknown,unknown) ).

tff(f_525,axiom,
    think_believe_consider(skc8,skc13),
    file(unknown,unknown) ).

tff(f_524,axiom,
    present(skc8,skc13),
    file(unknown,unknown) ).

tff(f_523,axiom,
    event(skc8,skc13),
    file(unknown,unknown) ).

tff(f_533,axiom,
    agent(skc8,skc13,skc15),
    file(unknown,unknown) ).

tff(f_534,axiom,
    theme(skc8,skc13,skc12),
    file(unknown,unknown) ).

tff(f_520,axiom,
    man(skc8,skc15),
    file(unknown,unknown) ).

tff(f_522,axiom,
    vincent_forename(skc8,skc14),
    file(unknown,unknown) ).

tff(f_521,axiom,
    forename(skc8,skc14),
    file(unknown,unknown) ).

tff(f_532,axiom,
    of(skc8,skc14,skc15),
    file(unknown,unknown) ).

tff(f_528,axiom,
    man(skc8,skc10),
    file(unknown,unknown) ).

tff(f_339,axiom,
    ! [U,V,W] :
      ( ~ accessible_world(U,V)
      | ~ man(U,W)
      | man(V,W) ),
    file(unknown,unknown) ).

tff(f_541,axiom,
    ! [U,V] :
      ( ~ man(skc12,U)
      | smoke(skc12,skf2(V)) ),
    file(unknown,unknown) ).

tff(f_546,axiom,
    ! [U,V] :
      ( ~ man(skc12,U)
      | present(skc12,skf2(V)) ),
    file(unknown,unknown) ).

tff(f_551,axiom,
    ! [U,V] :
      ( ~ man(skc12,U)
      | event(skc12,skf2(V)) ),
    file(unknown,unknown) ).

tff(f_556,axiom,
    ! [U] :
      ( ~ man(skc12,U)
      | agent(skc12,skf2(U),U) ),
    file(unknown,unknown) ).

tff(f_529,axiom,
    state(skc8,skc9),
    file(unknown,unknown) ).

tff(f_536,axiom,
    be(skc8,skc9,skc10,skc10),
    file(unknown,unknown) ).

tff(f_527,axiom,
    forename(skc8,skc11),
    file(unknown,unknown) ).

tff(f_526,axiom,
    jules_forename(skc8,skc11),
    file(unknown,unknown) ).

tff(f_535,axiom,
    of(skc8,skc11,skc10),
    file(unknown,unknown) ).

tff(f_519,axiom,
    actual_world(skc8),
    file(unknown,unknown) ).

tff(f_645,axiom,
    ! [X5,W,X3,U,Z,X1,X2,X,Y,V,X4] :
      ( ~ state(U,V)
      | ~ man(U,W)
      | ~ be(U,V,W,W)
      | ~ smoke(X,Y)
      | ~ present(X,Y)
      | ~ agent(X,Y,W)
      | ~ event(X,Y)
      | ~ forename(U,Z)
      | ~ jules_forename(U,Z)
      | ~ of(U,Z,W)
      | ~ accessible_world(U,X)
      | ~ proposition(U,X)
      | ~ proposition(U,X1)
      | ~ accessible_world(U,X1)
      | ~ think_believe_consider(U,X2)
      | ~ present(U,X2)
      | ~ event(U,X2)
      | ~ theme(U,X2,X1)
      | ~ agent(U,X3,X4)
      | ~ agent(U,X2,X4)
      | ~ man(U,X4)
      | ~ of(U,X5,X4)
      | ~ vincent_forename(U,X5)
      | ~ forename(U,X5)
      | ~ theme(U,X3,X)
      | ~ event(U,X3)
      | ~ present(U,X3)
      | ~ think_believe_consider(U,X3)
      | ~ actual_world(U)
      | man(X1,skf4(X1)) ),
    file(unknown,unknown) ).

tff(f_744,axiom,
    ! [X5,X6,W,X3,U,Z,X1,X2,X,Y,V,X4] :
      ( ~ state(U,V)
      | ~ man(U,W)
      | ~ be(U,V,W,W)
      | ~ smoke(X,Y)
      | ~ present(X,Y)
      | ~ agent(X,Y,W)
      | ~ event(X,Y)
      | ~ forename(U,Z)
      | ~ jules_forename(U,Z)
      | ~ of(U,Z,W)
      | ~ accessible_world(U,X)
      | ~ proposition(U,X)
      | ~ proposition(U,X1)
      | ~ accessible_world(U,X1)
      | ~ smoke(X1,X2)
      | ~ present(X1,X2)
      | ~ agent(X1,X2,skf4(X1))
      | ~ event(X1,X2)
      | ~ think_believe_consider(U,X3)
      | ~ present(U,X3)
      | ~ event(U,X3)
      | ~ theme(U,X3,X1)
      | ~ agent(U,X4,X5)
      | ~ agent(U,X3,X5)
      | ~ man(U,X5)
      | ~ of(U,X6,X5)
      | ~ vincent_forename(U,X6)
      | ~ forename(U,X6)
      | ~ theme(U,X4,X)
      | ~ event(U,X4)
      | ~ present(U,X4)
      | ~ think_believe_consider(U,X4)
      | ~ actual_world(U) ),
    file(unknown,unknown) ).

tff(c_168,plain,
    proposition(skc8,skc12),
    inference(cnfTransformation,[status(thm)],[f_531]) ).

tff(c_166,plain,
    accessible_world(skc8,skc12),
    inference(cnfTransformation,[status(thm)],[f_530]) ).

tff(c_156,plain,
    think_believe_consider(skc8,skc13),
    inference(cnfTransformation,[status(thm)],[f_525]) ).

tff(c_154,plain,
    present(skc8,skc13),
    inference(cnfTransformation,[status(thm)],[f_524]) ).

tff(c_152,plain,
    event(skc8,skc13),
    inference(cnfTransformation,[status(thm)],[f_523]) ).

tff(c_172,plain,
    agent(skc8,skc13,skc15),
    inference(cnfTransformation,[status(thm)],[f_533]) ).

tff(c_174,plain,
    theme(skc8,skc13,skc12),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_146,plain,
    man(skc8,skc15),
    inference(cnfTransformation,[status(thm)],[f_520]) ).

tff(c_150,plain,
    vincent_forename(skc8,skc14),
    inference(cnfTransformation,[status(thm)],[f_522]) ).

tff(c_148,plain,
    forename(skc8,skc14),
    inference(cnfTransformation,[status(thm)],[f_521]) ).

tff(c_170,plain,
    of(skc8,skc14,skc15),
    inference(cnfTransformation,[status(thm)],[f_532]) ).

tff(c_162,plain,
    man(skc8,skc10),
    inference(cnfTransformation,[status(thm)],[f_528]) ).

tff(c_2192,plain,
    ! [V_840,W_841,U_842] :
      ( man(V_840,W_841)
      | ~ man(U_842,W_841)
      | ~ accessible_world(U_842,V_840) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_2198,plain,
    ! [V_840] :
      ( man(V_840,skc10)
      | ~ accessible_world(skc8,V_840) ),
    inference(resolution,[status(thm)],[c_162,c_2192]) ).

tff(c_1732,plain,
    ! [V_718,W_719,U_720] :
      ( man(V_718,W_719)
      | ~ man(U_720,W_719)
      | ~ accessible_world(U_720,V_718) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_1743,plain,
    ! [V_724] :
      ( man(V_724,skc15)
      | ~ accessible_world(skc8,V_724) ),
    inference(resolution,[status(thm)],[c_146,c_1732]) ).

tff(c_180,plain,
    ! [V_191,U_190] :
      ( smoke(skc12,skf2(V_191))
      | ~ man(skc12,U_190) ),
    inference(cnfTransformation,[status(thm)],[f_541]) ).

tff(c_1231,plain,
    ! [U_190] : ~ man(skc12,U_190),
    inference(splitLeft,[status(thm)],[c_180]) ).

tff(c_1749,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_1743,c_1231]) ).

tff(c_1760,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_1749]) ).

tff(c_1761,plain,
    ! [V_191] : smoke(skc12,skf2(V_191)),
    inference(splitRight,[status(thm)],[c_180]) ).

tff(c_803,plain,
    ! [V_436,W_437,U_438] :
      ( man(V_436,W_437)
      | ~ man(U_438,W_437)
      | ~ accessible_world(U_438,V_436) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_810,plain,
    ! [V_439] :
      ( man(V_439,skc15)
      | ~ accessible_world(skc8,V_439) ),
    inference(resolution,[status(thm)],[c_146,c_803]) ).

tff(c_182,plain,
    ! [V_193,U_192] :
      ( present(skc12,skf2(V_193))
      | ~ man(skc12,U_192) ),
    inference(cnfTransformation,[status(thm)],[f_546]) ).

tff(c_349,plain,
    ! [U_192] : ~ man(skc12,U_192),
    inference(splitLeft,[status(thm)],[c_182]) ).

tff(c_816,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_810,c_349]) ).

tff(c_827,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_816]) ).

tff(c_828,plain,
    ! [V_193] : present(skc12,skf2(V_193)),
    inference(splitRight,[status(thm)],[c_182]) ).

tff(c_1201,plain,
    ! [V_560,W_561,U_562] :
      ( man(V_560,W_561)
      | ~ man(U_562,W_561)
      | ~ accessible_world(U_562,V_560) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_1208,plain,
    ! [V_563] :
      ( man(V_563,skc15)
      | ~ accessible_world(skc8,V_563) ),
    inference(resolution,[status(thm)],[c_146,c_1201]) ).

tff(c_184,plain,
    ! [V_195,U_194] :
      ( event(skc12,skf2(V_195))
      | ~ man(skc12,U_194) ),
    inference(cnfTransformation,[status(thm)],[f_551]) ).

tff(c_845,plain,
    ! [U_194] : ~ man(skc12,U_194),
    inference(splitLeft,[status(thm)],[c_184]) ).

tff(c_1214,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_1208,c_845]) ).

tff(c_1225,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_1214]) ).

tff(c_1226,plain,
    ! [V_195] : event(skc12,skf2(V_195)),
    inference(splitRight,[status(thm)],[c_184]) ).

tff(c_186,plain,
    ! [U_196] :
      ( agent(skc12,skf2(U_196),U_196)
      | ~ man(skc12,U_196) ),
    inference(cnfTransformation,[status(thm)],[f_556]) ).

tff(c_164,plain,
    state(skc8,skc9),
    inference(cnfTransformation,[status(thm)],[f_529]) ).

tff(c_178,plain,
    be(skc8,skc9,skc10,skc10),
    inference(cnfTransformation,[status(thm)],[f_536]) ).

tff(c_160,plain,
    forename(skc8,skc11),
    inference(cnfTransformation,[status(thm)],[f_527]) ).

tff(c_158,plain,
    jules_forename(skc8,skc11),
    inference(cnfTransformation,[status(thm)],[f_526]) ).

tff(c_176,plain,
    of(skc8,skc11,skc10),
    inference(cnfTransformation,[status(thm)],[f_535]) ).

tff(c_144,plain,
    actual_world(skc8),
    inference(cnfTransformation,[status(thm)],[f_519]) ).

tff(c_2601,plain,
    ! [X1_964,U_963,X3_956,V_955,Y_959,W_954,X5_958,Z_961,X4_957,X_960,X2_962] :
      ( man(X1_964,skf4(X1_964))
      | ~ actual_world(U_963)
      | ~ think_believe_consider(U_963,X3_956)
      | ~ present(U_963,X3_956)
      | ~ event(U_963,X3_956)
      | ~ theme(U_963,X3_956,X_960)
      | ~ forename(U_963,X5_958)
      | ~ vincent_forename(U_963,X5_958)
      | ~ of(U_963,X5_958,X4_957)
      | ~ man(U_963,X4_957)
      | ~ agent(U_963,X2_962,X4_957)
      | ~ agent(U_963,X3_956,X4_957)
      | ~ theme(U_963,X2_962,X1_964)
      | ~ event(U_963,X2_962)
      | ~ present(U_963,X2_962)
      | ~ think_believe_consider(U_963,X2_962)
      | ~ accessible_world(U_963,X1_964)
      | ~ proposition(U_963,X1_964)
      | ~ proposition(U_963,X_960)
      | ~ accessible_world(U_963,X_960)
      | ~ of(U_963,Z_961,W_954)
      | ~ jules_forename(U_963,Z_961)
      | ~ forename(U_963,Z_961)
      | ~ event(X_960,Y_959)
      | ~ agent(X_960,Y_959,W_954)
      | ~ present(X_960,Y_959)
      | ~ smoke(X_960,Y_959)
      | ~ be(U_963,V_955,W_954,W_954)
      | ~ man(U_963,W_954)
      | ~ state(U_963,V_955) ),
    inference(cnfTransformation,[status(thm)],[f_645]) ).

tff(c_2605,plain,
    ! [X1_964,V_955,Y_959,W_954,X5_958,Z_961,X4_957,X2_962] :
      ( man(X1_964,skf4(X1_964))
      | ~ actual_world(skc8)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ forename(skc8,X5_958)
      | ~ vincent_forename(skc8,X5_958)
      | ~ of(skc8,X5_958,X4_957)
      | ~ man(skc8,X4_957)
      | ~ agent(skc8,X2_962,X4_957)
      | ~ agent(skc8,skc13,X4_957)
      | ~ theme(skc8,X2_962,X1_964)
      | ~ event(skc8,X2_962)
      | ~ present(skc8,X2_962)
      | ~ think_believe_consider(skc8,X2_962)
      | ~ accessible_world(skc8,X1_964)
      | ~ proposition(skc8,X1_964)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12)
      | ~ of(skc8,Z_961,W_954)
      | ~ jules_forename(skc8,Z_961)
      | ~ forename(skc8,Z_961)
      | ~ event(skc12,Y_959)
      | ~ agent(skc12,Y_959,W_954)
      | ~ present(skc12,Y_959)
      | ~ smoke(skc12,Y_959)
      | ~ be(skc8,V_955,W_954,W_954)
      | ~ man(skc8,W_954)
      | ~ state(skc8,V_955) ),
    inference(resolution,[status(thm)],[c_174,c_2601]) ).

tff(c_2609,plain,
    ! [X1_964,V_955,Y_959,W_954,X5_958,Z_961,X4_957,X2_962] :
      ( man(X1_964,skf4(X1_964))
      | ~ forename(skc8,X5_958)
      | ~ vincent_forename(skc8,X5_958)
      | ~ of(skc8,X5_958,X4_957)
      | ~ man(skc8,X4_957)
      | ~ agent(skc8,X2_962,X4_957)
      | ~ agent(skc8,skc13,X4_957)
      | ~ theme(skc8,X2_962,X1_964)
      | ~ event(skc8,X2_962)
      | ~ present(skc8,X2_962)
      | ~ think_believe_consider(skc8,X2_962)
      | ~ accessible_world(skc8,X1_964)
      | ~ proposition(skc8,X1_964)
      | ~ of(skc8,Z_961,W_954)
      | ~ jules_forename(skc8,Z_961)
      | ~ forename(skc8,Z_961)
      | ~ event(skc12,Y_959)
      | ~ agent(skc12,Y_959,W_954)
      | ~ present(skc12,Y_959)
      | ~ smoke(skc12,Y_959)
      | ~ be(skc8,V_955,W_954,W_954)
      | ~ man(skc8,W_954)
      | ~ state(skc8,V_955) ),
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_168,c_152,c_154,c_156,c_144,c_2605]) ).

tff(c_3317,plain,
    ! [Z_1116,W_1117,Y_1118,V_1119] :
      ( ~ of(skc8,Z_1116,W_1117)
      | ~ jules_forename(skc8,Z_1116)
      | ~ forename(skc8,Z_1116)
      | ~ event(skc12,Y_1118)
      | ~ agent(skc12,Y_1118,W_1117)
      | ~ present(skc12,Y_1118)
      | ~ smoke(skc12,Y_1118)
      | ~ be(skc8,V_1119,W_1117,W_1117)
      | ~ man(skc8,W_1117)
      | ~ state(skc8,V_1119) ),
    inference(splitLeft,[status(thm)],[c_2609]) ).

tff(c_3325,plain,
    ! [Y_1118,V_1119] :
      ( ~ jules_forename(skc8,skc11)
      | ~ forename(skc8,skc11)
      | ~ event(skc12,Y_1118)
      | ~ agent(skc12,Y_1118,skc10)
      | ~ present(skc12,Y_1118)
      | ~ smoke(skc12,Y_1118)
      | ~ be(skc8,V_1119,skc10,skc10)
      | ~ man(skc8,skc10)
      | ~ state(skc8,V_1119) ),
    inference(resolution,[status(thm)],[c_176,c_3317]) ).

tff(c_3336,plain,
    ! [Y_1118,V_1119] :
      ( ~ event(skc12,Y_1118)
      | ~ agent(skc12,Y_1118,skc10)
      | ~ present(skc12,Y_1118)
      | ~ smoke(skc12,Y_1118)
      | ~ be(skc8,V_1119,skc10,skc10)
      | ~ state(skc8,V_1119) ),
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_160,c_158,c_3325]) ).

tff(c_3976,plain,
    ! [V_1299] :
      ( ~ be(skc8,V_1299,skc10,skc10)
      | ~ state(skc8,V_1299) ),
    inference(splitLeft,[status(thm)],[c_3336]) ).

tff(c_3983,plain,
    ~ state(skc8,skc9),
    inference(resolution,[status(thm)],[c_178,c_3976]) ).

tff(c_3990,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_3983]) ).

tff(c_3992,plain,
    ! [Y_1300] :
      ( ~ event(skc12,Y_1300)
      | ~ agent(skc12,Y_1300,skc10)
      | ~ present(skc12,Y_1300)
      | ~ smoke(skc12,Y_1300) ),
    inference(splitRight,[status(thm)],[c_3336]) ).

tff(c_4000,plain,
    ( ~ event(skc12,skf2(skc10))
    | ~ present(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ man(skc12,skc10) ),
    inference(resolution,[status(thm)],[c_186,c_3992]) ).

tff(c_4006,plain,
    ~ man(skc12,skc10),
    inference(demodulation,[status(thm),theory(equality)],[c_1761,c_828,c_1226,c_4000]) ).

tff(c_4009,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_2198,c_4006]) ).

tff(c_4013,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_4009]) ).

tff(c_4031,plain,
    ! [X1_1305,X5_1306,X4_1307,X2_1308] :
      ( man(X1_1305,skf4(X1_1305))
      | ~ forename(skc8,X5_1306)
      | ~ vincent_forename(skc8,X5_1306)
      | ~ of(skc8,X5_1306,X4_1307)
      | ~ man(skc8,X4_1307)
      | ~ agent(skc8,X2_1308,X4_1307)
      | ~ agent(skc8,skc13,X4_1307)
      | ~ theme(skc8,X2_1308,X1_1305)
      | ~ event(skc8,X2_1308)
      | ~ present(skc8,X2_1308)
      | ~ think_believe_consider(skc8,X2_1308)
      | ~ accessible_world(skc8,X1_1305)
      | ~ proposition(skc8,X1_1305) ),
    inference(splitRight,[status(thm)],[c_2609]) ).

tff(c_4041,plain,
    ! [X1_1305,X2_1308] :
      ( man(X1_1305,skf4(X1_1305))
      | ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,X2_1308,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ theme(skc8,X2_1308,X1_1305)
      | ~ event(skc8,X2_1308)
      | ~ present(skc8,X2_1308)
      | ~ think_believe_consider(skc8,X2_1308)
      | ~ accessible_world(skc8,X1_1305)
      | ~ proposition(skc8,X1_1305) ),
    inference(resolution,[status(thm)],[c_170,c_4031]) ).

tff(c_5458,plain,
    ! [X1_1688,X2_1689] :
      ( man(X1_1688,skf4(X1_1688))
      | ~ agent(skc8,X2_1689,skc15)
      | ~ theme(skc8,X2_1689,X1_1688)
      | ~ event(skc8,X2_1689)
      | ~ present(skc8,X2_1689)
      | ~ think_believe_consider(skc8,X2_1689)
      | ~ accessible_world(skc8,X1_1688)
      | ~ proposition(skc8,X1_1688) ),
    inference(demodulation,[status(thm),theory(equality)],[c_172,c_146,c_150,c_148,c_4041]) ).

tff(c_5463,plain,
    ( man(skc12,skf4(skc12))
    | ~ agent(skc8,skc13,skc15)
    | ~ event(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ think_believe_consider(skc8,skc13)
    | ~ accessible_world(skc8,skc12)
    | ~ proposition(skc8,skc12) ),
    inference(resolution,[status(thm)],[c_174,c_5458]) ).

tff(c_5469,plain,
    man(skc12,skf4(skc12)),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_166,c_156,c_154,c_152,c_172,c_5463]) ).

tff(c_2639,plain,
    ! [X6_974,X4_975,Z_977,U_971,X1_973,X3_970,X2_979,X_972,Y_978,V_976,X5_980,W_981] :
      ( ~ actual_world(U_971)
      | ~ think_believe_consider(U_971,X4_975)
      | ~ present(U_971,X4_975)
      | ~ event(U_971,X4_975)
      | ~ theme(U_971,X4_975,X_972)
      | ~ forename(U_971,X6_974)
      | ~ vincent_forename(U_971,X6_974)
      | ~ of(U_971,X6_974,X5_980)
      | ~ man(U_971,X5_980)
      | ~ agent(U_971,X3_970,X5_980)
      | ~ agent(U_971,X4_975,X5_980)
      | ~ theme(U_971,X3_970,X1_973)
      | ~ event(U_971,X3_970)
      | ~ present(U_971,X3_970)
      | ~ think_believe_consider(U_971,X3_970)
      | ~ event(X1_973,X2_979)
      | ~ agent(X1_973,X2_979,skf4(X1_973))
      | ~ present(X1_973,X2_979)
      | ~ smoke(X1_973,X2_979)
      | ~ accessible_world(U_971,X1_973)
      | ~ proposition(U_971,X1_973)
      | ~ proposition(U_971,X_972)
      | ~ accessible_world(U_971,X_972)
      | ~ of(U_971,Z_977,W_981)
      | ~ jules_forename(U_971,Z_977)
      | ~ forename(U_971,Z_977)
      | ~ event(X_972,Y_978)
      | ~ agent(X_972,Y_978,W_981)
      | ~ present(X_972,Y_978)
      | ~ smoke(X_972,Y_978)
      | ~ be(U_971,V_976,W_981,W_981)
      | ~ man(U_971,W_981)
      | ~ state(U_971,V_976) ),
    inference(cnfTransformation,[status(thm)],[f_744]) ).

tff(c_2643,plain,
    ! [X6_974,Z_977,X1_973,X3_970,X2_979,Y_978,V_976,X5_980,W_981] :
      ( ~ actual_world(skc8)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ forename(skc8,X6_974)
      | ~ vincent_forename(skc8,X6_974)
      | ~ of(skc8,X6_974,X5_980)
      | ~ man(skc8,X5_980)
      | ~ agent(skc8,X3_970,X5_980)
      | ~ agent(skc8,skc13,X5_980)
      | ~ theme(skc8,X3_970,X1_973)
      | ~ event(skc8,X3_970)
      | ~ present(skc8,X3_970)
      | ~ think_believe_consider(skc8,X3_970)
      | ~ event(X1_973,X2_979)
      | ~ agent(X1_973,X2_979,skf4(X1_973))
      | ~ present(X1_973,X2_979)
      | ~ smoke(X1_973,X2_979)
      | ~ accessible_world(skc8,X1_973)
      | ~ proposition(skc8,X1_973)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12)
      | ~ of(skc8,Z_977,W_981)
      | ~ jules_forename(skc8,Z_977)
      | ~ forename(skc8,Z_977)
      | ~ event(skc12,Y_978)
      | ~ agent(skc12,Y_978,W_981)
      | ~ present(skc12,Y_978)
      | ~ smoke(skc12,Y_978)
      | ~ be(skc8,V_976,W_981,W_981)
      | ~ man(skc8,W_981)
      | ~ state(skc8,V_976) ),
    inference(resolution,[status(thm)],[c_174,c_2639]) ).

tff(c_2647,plain,
    ! [X6_974,Z_977,X1_973,X3_970,X2_979,Y_978,V_976,X5_980,W_981] :
      ( ~ forename(skc8,X6_974)
      | ~ vincent_forename(skc8,X6_974)
      | ~ of(skc8,X6_974,X5_980)
      | ~ man(skc8,X5_980)
      | ~ agent(skc8,X3_970,X5_980)
      | ~ agent(skc8,skc13,X5_980)
      | ~ theme(skc8,X3_970,X1_973)
      | ~ event(skc8,X3_970)
      | ~ present(skc8,X3_970)
      | ~ think_believe_consider(skc8,X3_970)
      | ~ event(X1_973,X2_979)
      | ~ agent(X1_973,X2_979,skf4(X1_973))
      | ~ present(X1_973,X2_979)
      | ~ smoke(X1_973,X2_979)
      | ~ accessible_world(skc8,X1_973)
      | ~ proposition(skc8,X1_973)
      | ~ of(skc8,Z_977,W_981)
      | ~ jules_forename(skc8,Z_977)
      | ~ forename(skc8,Z_977)
      | ~ event(skc12,Y_978)
      | ~ agent(skc12,Y_978,W_981)
      | ~ present(skc12,Y_978)
      | ~ smoke(skc12,Y_978)
      | ~ be(skc8,V_976,W_981,W_981)
      | ~ man(skc8,W_981)
      | ~ state(skc8,V_976) ),
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_168,c_152,c_154,c_156,c_144,c_2643]) ).

tff(c_4240,plain,
    ! [Z_1345,W_1346,Y_1347,V_1348] :
      ( ~ of(skc8,Z_1345,W_1346)
      | ~ jules_forename(skc8,Z_1345)
      | ~ forename(skc8,Z_1345)
      | ~ event(skc12,Y_1347)
      | ~ agent(skc12,Y_1347,W_1346)
      | ~ present(skc12,Y_1347)
      | ~ smoke(skc12,Y_1347)
      | ~ be(skc8,V_1348,W_1346,W_1346)
      | ~ man(skc8,W_1346)
      | ~ state(skc8,V_1348) ),
    inference(splitLeft,[status(thm)],[c_2647]) ).

tff(c_4248,plain,
    ! [Y_1347,V_1348] :
      ( ~ jules_forename(skc8,skc11)
      | ~ forename(skc8,skc11)
      | ~ event(skc12,Y_1347)
      | ~ agent(skc12,Y_1347,skc10)
      | ~ present(skc12,Y_1347)
      | ~ smoke(skc12,Y_1347)
      | ~ be(skc8,V_1348,skc10,skc10)
      | ~ man(skc8,skc10)
      | ~ state(skc8,V_1348) ),
    inference(resolution,[status(thm)],[c_176,c_4240]) ).

tff(c_4259,plain,
    ! [Y_1347,V_1348] :
      ( ~ event(skc12,Y_1347)
      | ~ agent(skc12,Y_1347,skc10)
      | ~ present(skc12,Y_1347)
      | ~ smoke(skc12,Y_1347)
      | ~ be(skc8,V_1348,skc10,skc10)
      | ~ state(skc8,V_1348) ),
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_160,c_158,c_4248]) ).

tff(c_4769,plain,
    ! [V_1503] :
      ( ~ be(skc8,V_1503,skc10,skc10)
      | ~ state(skc8,V_1503) ),
    inference(splitLeft,[status(thm)],[c_4259]) ).

tff(c_4776,plain,
    ~ state(skc8,skc9),
    inference(resolution,[status(thm)],[c_178,c_4769]) ).

tff(c_4783,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_4776]) ).

tff(c_4785,plain,
    ! [Y_1504] :
      ( ~ event(skc12,Y_1504)
      | ~ agent(skc12,Y_1504,skc10)
      | ~ present(skc12,Y_1504)
      | ~ smoke(skc12,Y_1504) ),
    inference(splitRight,[status(thm)],[c_4259]) ).

tff(c_4793,plain,
    ( ~ event(skc12,skf2(skc10))
    | ~ present(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ man(skc12,skc10) ),
    inference(resolution,[status(thm)],[c_186,c_4785]) ).

tff(c_4799,plain,
    ~ man(skc12,skc10),
    inference(demodulation,[status(thm),theory(equality)],[c_1761,c_828,c_1226,c_4793]) ).

tff(c_4803,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_2198,c_4799]) ).

tff(c_4807,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_4803]) ).

tff(c_4841,plain,
    ! [X1_1519,X2_1516,X3_1518,X5_1517,X6_1520] :
      ( ~ forename(skc8,X6_1520)
      | ~ vincent_forename(skc8,X6_1520)
      | ~ of(skc8,X6_1520,X5_1517)
      | ~ man(skc8,X5_1517)
      | ~ agent(skc8,X3_1518,X5_1517)
      | ~ agent(skc8,skc13,X5_1517)
      | ~ theme(skc8,X3_1518,X1_1519)
      | ~ event(skc8,X3_1518)
      | ~ present(skc8,X3_1518)
      | ~ think_believe_consider(skc8,X3_1518)
      | ~ event(X1_1519,X2_1516)
      | ~ agent(X1_1519,X2_1516,skf4(X1_1519))
      | ~ present(X1_1519,X2_1516)
      | ~ smoke(X1_1519,X2_1516)
      | ~ accessible_world(skc8,X1_1519)
      | ~ proposition(skc8,X1_1519) ),
    inference(splitRight,[status(thm)],[c_2647]) ).

tff(c_4851,plain,
    ! [X3_1518,X1_1519,X2_1516] :
      ( ~ forename(skc8,skc14)
      | ~ vincent_forename(skc8,skc14)
      | ~ man(skc8,skc15)
      | ~ agent(skc8,X3_1518,skc15)
      | ~ agent(skc8,skc13,skc15)
      | ~ theme(skc8,X3_1518,X1_1519)
      | ~ event(skc8,X3_1518)
      | ~ present(skc8,X3_1518)
      | ~ think_believe_consider(skc8,X3_1518)
      | ~ event(X1_1519,X2_1516)
      | ~ agent(X1_1519,X2_1516,skf4(X1_1519))
      | ~ present(X1_1519,X2_1516)
      | ~ smoke(X1_1519,X2_1516)
      | ~ accessible_world(skc8,X1_1519)
      | ~ proposition(skc8,X1_1519) ),
    inference(resolution,[status(thm)],[c_170,c_4841]) ).

tff(c_5971,plain,
    ! [X3_1722,X1_1723,X2_1724] :
      ( ~ agent(skc8,X3_1722,skc15)
      | ~ theme(skc8,X3_1722,X1_1723)
      | ~ event(skc8,X3_1722)
      | ~ present(skc8,X3_1722)
      | ~ think_believe_consider(skc8,X3_1722)
      | ~ event(X1_1723,X2_1724)
      | ~ agent(X1_1723,X2_1724,skf4(X1_1723))
      | ~ present(X1_1723,X2_1724)
      | ~ smoke(X1_1723,X2_1724)
      | ~ accessible_world(skc8,X1_1723)
      | ~ proposition(skc8,X1_1723) ),
    inference(demodulation,[status(thm),theory(equality)],[c_172,c_146,c_150,c_148,c_4851]) ).

tff(c_5976,plain,
    ! [X2_1724] :
      ( ~ agent(skc8,skc13,skc15)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ event(skc12,X2_1724)
      | ~ agent(skc12,X2_1724,skf4(skc12))
      | ~ present(skc12,X2_1724)
      | ~ smoke(skc12,X2_1724)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12) ),
    inference(resolution,[status(thm)],[c_174,c_5971]) ).

tff(c_6028,plain,
    ! [X2_1743] :
      ( ~ event(skc12,X2_1743)
      | ~ agent(skc12,X2_1743,skf4(skc12))
      | ~ present(skc12,X2_1743)
      | ~ smoke(skc12,X2_1743) ),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_166,c_156,c_154,c_152,c_172,c_5976]) ).

tff(c_6036,plain,
    ( ~ event(skc12,skf2(skf4(skc12)))
    | ~ present(skc12,skf2(skf4(skc12)))
    | ~ smoke(skc12,skf2(skf4(skc12)))
    | ~ man(skc12,skf4(skc12)) ),
    inference(resolution,[status(thm)],[c_186,c_6028]) ).

tff(c_6043,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5469,c_1761,c_828,c_1226,c_6036]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NLP258-1 : TPTP v9.0.0. Released v2.4.0.
% 0.04/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr  8 09:51:56 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 12.72/4.15  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.72/4.16  
% 12.72/4.16  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------