TSTP Solution File: NLP257-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP257-1 : 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/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 : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:50:46 EDT 2023

% Result   : Unsatisfiable 11.23s 3.63s
% Output   : CNFRefutation 11.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  157 (  60 unt;  46 typ;   0 def)
%            Number of atoms       :  584 (   0 equ)
%            Maximal formula atoms :   37 (   5 avg)
%            Number of connectives :  983 ( 510   ~; 473   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   78 (  38   >;  40   *;   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   :  191 (; 191   !;   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_530,axiom,
    accessible_world(skc8,skc12),
    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_520,axiom,
    man(skc8,skc15),
    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_526,axiom,
    jules_forename(skc8,skc11),
    file(unknown,unknown) ).

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

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

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

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

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

tff(f_525,axiom,
    think_believe_consider(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_521,axiom,
    forename(skc8,skc14),
    file(unknown,unknown) ).

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

tff(f_532,axiom,
    of(skc8,skc14,skc15),
    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_519,axiom,
    actual_world(skc8),
    file(unknown,unknown) ).

tff(f_657,axiom,
    ! [X5,X6,W,X3,U,Z,X7,X1,X2,X,Y,V,X4] :
      ( ~ state(U,V)
      | ~ be(U,V,W,W)
      | ~ man(U,W)
      | ~ of(U,X,W)
      | ~ jules_forename(U,X)
      | ~ forename(U,X)
      | ~ jules_forename(U,Y)
      | ~ forename(U,Y)
      | ~ smoke(Z,X1)
      | ~ present(Z,X1)
      | ~ agent(Z,X1,X2)
      | ~ event(Z,X1)
      | ~ man(U,X2)
      | ~ of(U,Y,X2)
      | ~ proposition(U,Z)
      | ~ accessible_world(U,Z)
      | ~ accessible_world(U,X3)
      | ~ proposition(U,X3)
      | ~ theme(U,X4,X3)
      | ~ event(U,X4)
      | ~ present(U,X4)
      | ~ think_believe_consider(U,X4)
      | ~ man(U,X5)
      | ~ agent(U,X4,X5)
      | ~ agent(U,X6,X5)
      | ~ forename(U,X7)
      | ~ vincent_forename(U,X7)
      | ~ of(U,X7,X5)
      | ~ think_believe_consider(U,X6)
      | ~ present(U,X6)
      | ~ event(U,X6)
      | ~ theme(U,X6,Z)
      | ~ actual_world(U)
      | man(X3,skf4(X3)) ),
    file(unknown,unknown) ).

tff(f_768,axiom,
    ! [X5,X6,W,X3,U,Z,X7,X1,X2,X,Y,V,X8,X4] :
      ( ~ state(U,V)
      | ~ be(U,V,W,W)
      | ~ man(U,W)
      | ~ of(U,X,W)
      | ~ jules_forename(U,X)
      | ~ forename(U,X)
      | ~ jules_forename(U,Y)
      | ~ forename(U,Y)
      | ~ smoke(Z,X1)
      | ~ present(Z,X1)
      | ~ agent(Z,X1,X2)
      | ~ event(Z,X1)
      | ~ man(U,X2)
      | ~ of(U,Y,X2)
      | ~ proposition(U,Z)
      | ~ accessible_world(U,Z)
      | ~ smoke(X3,X4)
      | ~ present(X3,X4)
      | ~ agent(X3,X4,skf4(X3))
      | ~ event(X3,X4)
      | ~ accessible_world(U,X3)
      | ~ proposition(U,X3)
      | ~ theme(U,X5,X3)
      | ~ event(U,X5)
      | ~ present(U,X5)
      | ~ think_believe_consider(U,X5)
      | ~ man(U,X6)
      | ~ agent(U,X5,X6)
      | ~ agent(U,X7,X6)
      | ~ forename(U,X8)
      | ~ vincent_forename(U,X8)
      | ~ of(U,X8,X6)
      | ~ think_believe_consider(U,X7)
      | ~ present(U,X7)
      | ~ event(U,X7)
      | ~ theme(U,X7,Z)
      | ~ actual_world(U) ),
    file(unknown,unknown) ).

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

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

tff(c_2192,plain,
    ! [V_844,W_845,U_846] :
      ( man(V_844,W_845)
      | ~ man(U_846,W_845)
      | ~ accessible_world(U_846,V_844) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_2198,plain,
    ! [V_844] :
      ( man(V_844,skc10)
      | ~ accessible_world(skc8,V_844) ),
    inference(resolution,[status(thm)],[c_162,c_2192]) ).

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

tff(c_1732,plain,
    ! [V_722,W_723,U_724] :
      ( man(V_722,W_723)
      | ~ man(U_724,W_723)
      | ~ accessible_world(U_724,V_722) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_1743,plain,
    ! [V_728] :
      ( man(V_728,skc15)
      | ~ accessible_world(skc8,V_728) ),
    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_440,W_441,U_442] :
      ( man(V_440,W_441)
      | ~ man(U_442,W_441)
      | ~ accessible_world(U_442,V_440) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_810,plain,
    ! [V_443] :
      ( man(V_443,skc15)
      | ~ accessible_world(skc8,V_443) ),
    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_564,W_565,U_566] :
      ( man(V_564,W_565)
      | ~ man(U_566,W_565)
      | ~ accessible_world(U_566,V_564) ),
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_1208,plain,
    ! [V_567] :
      ( man(V_567,skc15)
      | ~ accessible_world(skc8,V_567) ),
    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_158,plain,
    jules_forename(skc8,skc11),
    inference(cnfTransformation,[status(thm)],[f_526]) ).

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

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

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

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

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

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

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_148,plain,
    forename(skc8,skc14),
    inference(cnfTransformation,[status(thm)],[f_521]) ).

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

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

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_144,plain,
    actual_world(skc8),
    inference(cnfTransformation,[status(thm)],[f_519]) ).

tff(c_2601,plain,
    ! [X1_967,Z_958,W_965,X6_966,X4_963,V_968,X5_961,X7_959,X3_964,X2_970,Y_962,U_969,X_960] :
      ( man(X3_964,skf4(X3_964))
      | ~ actual_world(U_969)
      | ~ theme(U_969,X6_966,Z_958)
      | ~ event(U_969,X6_966)
      | ~ present(U_969,X6_966)
      | ~ think_believe_consider(U_969,X6_966)
      | ~ of(U_969,X7_959,X5_961)
      | ~ vincent_forename(U_969,X7_959)
      | ~ forename(U_969,X7_959)
      | ~ agent(U_969,X6_966,X5_961)
      | ~ agent(U_969,X4_963,X5_961)
      | ~ man(U_969,X5_961)
      | ~ think_believe_consider(U_969,X4_963)
      | ~ present(U_969,X4_963)
      | ~ event(U_969,X4_963)
      | ~ theme(U_969,X4_963,X3_964)
      | ~ proposition(U_969,X3_964)
      | ~ accessible_world(U_969,X3_964)
      | ~ accessible_world(U_969,Z_958)
      | ~ proposition(U_969,Z_958)
      | ~ of(U_969,Y_962,X2_970)
      | ~ man(U_969,X2_970)
      | ~ event(Z_958,X1_967)
      | ~ agent(Z_958,X1_967,X2_970)
      | ~ present(Z_958,X1_967)
      | ~ smoke(Z_958,X1_967)
      | ~ forename(U_969,Y_962)
      | ~ jules_forename(U_969,Y_962)
      | ~ forename(U_969,X_960)
      | ~ jules_forename(U_969,X_960)
      | ~ of(U_969,X_960,W_965)
      | ~ man(U_969,W_965)
      | ~ be(U_969,V_968,W_965,W_965)
      | ~ state(U_969,V_968) ),
    inference(cnfTransformation,[status(thm)],[f_657]) ).

tff(c_2605,plain,
    ! [X1_967,W_965,X4_963,V_968,X5_961,X7_959,X3_964,X2_970,Y_962,X_960] :
      ( man(X3_964,skf4(X3_964))
      | ~ actual_world(skc8)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,X7_959,X5_961)
      | ~ vincent_forename(skc8,X7_959)
      | ~ forename(skc8,X7_959)
      | ~ agent(skc8,skc13,X5_961)
      | ~ agent(skc8,X4_963,X5_961)
      | ~ man(skc8,X5_961)
      | ~ think_believe_consider(skc8,X4_963)
      | ~ present(skc8,X4_963)
      | ~ event(skc8,X4_963)
      | ~ theme(skc8,X4_963,X3_964)
      | ~ proposition(skc8,X3_964)
      | ~ accessible_world(skc8,X3_964)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ of(skc8,Y_962,X2_970)
      | ~ man(skc8,X2_970)
      | ~ event(skc12,X1_967)
      | ~ agent(skc12,X1_967,X2_970)
      | ~ present(skc12,X1_967)
      | ~ smoke(skc12,X1_967)
      | ~ forename(skc8,Y_962)
      | ~ jules_forename(skc8,Y_962)
      | ~ forename(skc8,X_960)
      | ~ jules_forename(skc8,X_960)
      | ~ of(skc8,X_960,W_965)
      | ~ man(skc8,W_965)
      | ~ be(skc8,V_968,W_965,W_965)
      | ~ state(skc8,V_968) ),
    inference(resolution,[status(thm)],[c_174,c_2601]) ).

tff(c_2609,plain,
    ! [X1_967,W_965,X4_963,V_968,X5_961,X7_959,X3_964,X2_970,Y_962,X_960] :
      ( man(X3_964,skf4(X3_964))
      | ~ of(skc8,X7_959,X5_961)
      | ~ vincent_forename(skc8,X7_959)
      | ~ forename(skc8,X7_959)
      | ~ agent(skc8,skc13,X5_961)
      | ~ agent(skc8,X4_963,X5_961)
      | ~ man(skc8,X5_961)
      | ~ think_believe_consider(skc8,X4_963)
      | ~ present(skc8,X4_963)
      | ~ event(skc8,X4_963)
      | ~ theme(skc8,X4_963,X3_964)
      | ~ proposition(skc8,X3_964)
      | ~ accessible_world(skc8,X3_964)
      | ~ of(skc8,Y_962,X2_970)
      | ~ man(skc8,X2_970)
      | ~ event(skc12,X1_967)
      | ~ agent(skc12,X1_967,X2_970)
      | ~ present(skc12,X1_967)
      | ~ smoke(skc12,X1_967)
      | ~ forename(skc8,Y_962)
      | ~ jules_forename(skc8,Y_962)
      | ~ forename(skc8,X_960)
      | ~ jules_forename(skc8,X_960)
      | ~ of(skc8,X_960,W_965)
      | ~ man(skc8,W_965)
      | ~ be(skc8,V_968,W_965,W_965)
      | ~ state(skc8,V_968) ),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_166,c_156,c_154,c_152,c_144,c_2605]) ).

tff(c_3317,plain,
    ! [X_1124,W_1125,V_1126] :
      ( ~ forename(skc8,X_1124)
      | ~ jules_forename(skc8,X_1124)
      | ~ of(skc8,X_1124,W_1125)
      | ~ man(skc8,W_1125)
      | ~ be(skc8,V_1126,W_1125,W_1125)
      | ~ state(skc8,V_1126) ),
    inference(splitLeft,[status(thm)],[c_2609]) ).

tff(c_3325,plain,
    ! [V_1126] :
      ( ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ man(skc8,skc10)
      | ~ be(skc8,V_1126,skc10,skc10)
      | ~ state(skc8,V_1126) ),
    inference(resolution,[status(thm)],[c_176,c_3317]) ).

tff(c_3340,plain,
    ! [V_1127] :
      ( ~ be(skc8,V_1127,skc10,skc10)
      | ~ state(skc8,V_1127) ),
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_158,c_160,c_3325]) ).

tff(c_3347,plain,
    ~ state(skc8,skc9),
    inference(resolution,[status(thm)],[c_178,c_3340]) ).

tff(c_3354,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_3347]) ).

tff(c_3355,plain,
    ! [X1_967,X4_963,X5_961,X7_959,X3_964,X2_970,Y_962] :
      ( ~ of(skc8,Y_962,X2_970)
      | ~ man(skc8,X2_970)
      | ~ event(skc12,X1_967)
      | ~ agent(skc12,X1_967,X2_970)
      | ~ present(skc12,X1_967)
      | ~ smoke(skc12,X1_967)
      | ~ forename(skc8,Y_962)
      | ~ jules_forename(skc8,Y_962)
      | man(X3_964,skf4(X3_964))
      | ~ of(skc8,X7_959,X5_961)
      | ~ vincent_forename(skc8,X7_959)
      | ~ forename(skc8,X7_959)
      | ~ agent(skc8,skc13,X5_961)
      | ~ agent(skc8,X4_963,X5_961)
      | ~ man(skc8,X5_961)
      | ~ think_believe_consider(skc8,X4_963)
      | ~ present(skc8,X4_963)
      | ~ event(skc8,X4_963)
      | ~ theme(skc8,X4_963,X3_964)
      | ~ proposition(skc8,X3_964)
      | ~ accessible_world(skc8,X3_964) ),
    inference(splitRight,[status(thm)],[c_2609]) ).

tff(c_3542,plain,
    ! [Y_1162,X2_1163,X1_1164] :
      ( ~ of(skc8,Y_1162,X2_1163)
      | ~ man(skc8,X2_1163)
      | ~ event(skc12,X1_1164)
      | ~ agent(skc12,X1_1164,X2_1163)
      | ~ present(skc12,X1_1164)
      | ~ smoke(skc12,X1_1164)
      | ~ forename(skc8,Y_1162)
      | ~ jules_forename(skc8,Y_1162) ),
    inference(splitLeft,[status(thm)],[c_3355]) ).

tff(c_3550,plain,
    ! [X1_1164] :
      ( ~ man(skc8,skc10)
      | ~ event(skc12,X1_1164)
      | ~ agent(skc12,X1_1164,skc10)
      | ~ present(skc12,X1_1164)
      | ~ smoke(skc12,X1_1164)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11) ),
    inference(resolution,[status(thm)],[c_176,c_3542]) ).

tff(c_4010,plain,
    ! [X1_1282] :
      ( ~ event(skc12,X1_1282)
      | ~ agent(skc12,X1_1282,skc10)
      | ~ present(skc12,X1_1282)
      | ~ smoke(skc12,X1_1282) ),
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_160,c_162,c_3550]) ).

tff(c_4018,plain,
    ( ~ event(skc12,skf2(skc10))
    | ~ present(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ man(skc12,skc10) ),
    inference(resolution,[status(thm)],[c_186,c_4010]) ).

tff(c_4024,plain,
    ~ man(skc12,skc10),
    inference(demodulation,[status(thm),theory(equality)],[c_1761,c_828,c_1226,c_4018]) ).

tff(c_4027,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_2198,c_4024]) ).

tff(c_4031,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_4027]) ).

tff(c_4100,plain,
    ! [X3_1299,X7_1300,X5_1301,X4_1302] :
      ( man(X3_1299,skf4(X3_1299))
      | ~ of(skc8,X7_1300,X5_1301)
      | ~ vincent_forename(skc8,X7_1300)
      | ~ forename(skc8,X7_1300)
      | ~ agent(skc8,skc13,X5_1301)
      | ~ agent(skc8,X4_1302,X5_1301)
      | ~ man(skc8,X5_1301)
      | ~ think_believe_consider(skc8,X4_1302)
      | ~ present(skc8,X4_1302)
      | ~ event(skc8,X4_1302)
      | ~ theme(skc8,X4_1302,X3_1299)
      | ~ proposition(skc8,X3_1299)
      | ~ accessible_world(skc8,X3_1299) ),
    inference(splitRight,[status(thm)],[c_3355]) ).

tff(c_4110,plain,
    ! [X3_1299,X4_1302] :
      ( man(X3_1299,skf4(X3_1299))
      | ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ agent(skc8,skc13,skc15)
      | ~ agent(skc8,X4_1302,skc15)
      | ~ man(skc8,skc15)
      | ~ think_believe_consider(skc8,X4_1302)
      | ~ present(skc8,X4_1302)
      | ~ event(skc8,X4_1302)
      | ~ theme(skc8,X4_1302,X3_1299)
      | ~ proposition(skc8,X3_1299)
      | ~ accessible_world(skc8,X3_1299) ),
    inference(resolution,[status(thm)],[c_170,c_4100]) ).

tff(c_5003,plain,
    ! [X3_1495,X4_1496] :
      ( man(X3_1495,skf4(X3_1495))
      | ~ agent(skc8,X4_1496,skc15)
      | ~ think_believe_consider(skc8,X4_1496)
      | ~ present(skc8,X4_1496)
      | ~ event(skc8,X4_1496)
      | ~ theme(skc8,X4_1496,X3_1495)
      | ~ proposition(skc8,X3_1495)
      | ~ accessible_world(skc8,X3_1495) ),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_172,c_148,c_150,c_4110]) ).

tff(c_5008,plain,
    ( man(skc12,skf4(skc12))
    | ~ agent(skc8,skc13,skc15)
    | ~ think_believe_consider(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ event(skc8,skc13)
    | ~ proposition(skc8,skc12)
    | ~ accessible_world(skc8,skc12) ),
    inference(resolution,[status(thm)],[c_174,c_5003]) ).

tff(c_5014,plain,
    man(skc12,skf4(skc12)),
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_168,c_152,c_154,c_156,c_172,c_5008]) ).

tff(c_2639,plain,
    ! [X5_985,X_981,X7_980,X4_978,X3_989,X8_987,X6_977,W_976,U_984,X2_979,Y_983,Z_982,V_986,X1_988] :
      ( ~ actual_world(U_984)
      | ~ theme(U_984,X7_980,Z_982)
      | ~ event(U_984,X7_980)
      | ~ present(U_984,X7_980)
      | ~ think_believe_consider(U_984,X7_980)
      | ~ of(U_984,X8_987,X6_977)
      | ~ vincent_forename(U_984,X8_987)
      | ~ forename(U_984,X8_987)
      | ~ agent(U_984,X7_980,X6_977)
      | ~ agent(U_984,X5_985,X6_977)
      | ~ man(U_984,X6_977)
      | ~ think_believe_consider(U_984,X5_985)
      | ~ present(U_984,X5_985)
      | ~ event(U_984,X5_985)
      | ~ theme(U_984,X5_985,X3_989)
      | ~ proposition(U_984,X3_989)
      | ~ accessible_world(U_984,X3_989)
      | ~ event(X3_989,X4_978)
      | ~ agent(X3_989,X4_978,skf4(X3_989))
      | ~ present(X3_989,X4_978)
      | ~ smoke(X3_989,X4_978)
      | ~ accessible_world(U_984,Z_982)
      | ~ proposition(U_984,Z_982)
      | ~ of(U_984,Y_983,X2_979)
      | ~ man(U_984,X2_979)
      | ~ event(Z_982,X1_988)
      | ~ agent(Z_982,X1_988,X2_979)
      | ~ present(Z_982,X1_988)
      | ~ smoke(Z_982,X1_988)
      | ~ forename(U_984,Y_983)
      | ~ jules_forename(U_984,Y_983)
      | ~ forename(U_984,X_981)
      | ~ jules_forename(U_984,X_981)
      | ~ of(U_984,X_981,W_976)
      | ~ man(U_984,W_976)
      | ~ be(U_984,V_986,W_976,W_976)
      | ~ state(U_984,V_986) ),
    inference(cnfTransformation,[status(thm)],[f_768]) ).

tff(c_2643,plain,
    ! [X5_985,X_981,X4_978,X3_989,X8_987,X6_977,W_976,X2_979,Y_983,V_986,X1_988] :
      ( ~ actual_world(skc8)
      | ~ event(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ think_believe_consider(skc8,skc13)
      | ~ of(skc8,X8_987,X6_977)
      | ~ vincent_forename(skc8,X8_987)
      | ~ forename(skc8,X8_987)
      | ~ agent(skc8,skc13,X6_977)
      | ~ agent(skc8,X5_985,X6_977)
      | ~ man(skc8,X6_977)
      | ~ think_believe_consider(skc8,X5_985)
      | ~ present(skc8,X5_985)
      | ~ event(skc8,X5_985)
      | ~ theme(skc8,X5_985,X3_989)
      | ~ proposition(skc8,X3_989)
      | ~ accessible_world(skc8,X3_989)
      | ~ event(X3_989,X4_978)
      | ~ agent(X3_989,X4_978,skf4(X3_989))
      | ~ present(X3_989,X4_978)
      | ~ smoke(X3_989,X4_978)
      | ~ accessible_world(skc8,skc12)
      | ~ proposition(skc8,skc12)
      | ~ of(skc8,Y_983,X2_979)
      | ~ man(skc8,X2_979)
      | ~ event(skc12,X1_988)
      | ~ agent(skc12,X1_988,X2_979)
      | ~ present(skc12,X1_988)
      | ~ smoke(skc12,X1_988)
      | ~ forename(skc8,Y_983)
      | ~ jules_forename(skc8,Y_983)
      | ~ forename(skc8,X_981)
      | ~ jules_forename(skc8,X_981)
      | ~ of(skc8,X_981,W_976)
      | ~ man(skc8,W_976)
      | ~ be(skc8,V_986,W_976,W_976)
      | ~ state(skc8,V_986) ),
    inference(resolution,[status(thm)],[c_174,c_2639]) ).

tff(c_2647,plain,
    ! [X5_985,X_981,X4_978,X3_989,X8_987,X6_977,W_976,X2_979,Y_983,V_986,X1_988] :
      ( ~ of(skc8,X8_987,X6_977)
      | ~ vincent_forename(skc8,X8_987)
      | ~ forename(skc8,X8_987)
      | ~ agent(skc8,skc13,X6_977)
      | ~ agent(skc8,X5_985,X6_977)
      | ~ man(skc8,X6_977)
      | ~ think_believe_consider(skc8,X5_985)
      | ~ present(skc8,X5_985)
      | ~ event(skc8,X5_985)
      | ~ theme(skc8,X5_985,X3_989)
      | ~ proposition(skc8,X3_989)
      | ~ accessible_world(skc8,X3_989)
      | ~ event(X3_989,X4_978)
      | ~ agent(X3_989,X4_978,skf4(X3_989))
      | ~ present(X3_989,X4_978)
      | ~ smoke(X3_989,X4_978)
      | ~ of(skc8,Y_983,X2_979)
      | ~ man(skc8,X2_979)
      | ~ event(skc12,X1_988)
      | ~ agent(skc12,X1_988,X2_979)
      | ~ present(skc12,X1_988)
      | ~ smoke(skc12,X1_988)
      | ~ forename(skc8,Y_983)
      | ~ jules_forename(skc8,Y_983)
      | ~ forename(skc8,X_981)
      | ~ jules_forename(skc8,X_981)
      | ~ of(skc8,X_981,W_976)
      | ~ man(skc8,W_976)
      | ~ be(skc8,V_986,W_976,W_976)
      | ~ state(skc8,V_986) ),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_166,c_156,c_154,c_152,c_144,c_2643]) ).

tff(c_4251,plain,
    ! [X_1321,W_1322,V_1323] :
      ( ~ forename(skc8,X_1321)
      | ~ jules_forename(skc8,X_1321)
      | ~ of(skc8,X_1321,W_1322)
      | ~ man(skc8,W_1322)
      | ~ be(skc8,V_1323,W_1322,W_1322)
      | ~ state(skc8,V_1323) ),
    inference(splitLeft,[status(thm)],[c_2647]) ).

tff(c_4259,plain,
    ! [V_1323] :
      ( ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11)
      | ~ man(skc8,skc10)
      | ~ be(skc8,V_1323,skc10,skc10)
      | ~ state(skc8,V_1323) ),
    inference(resolution,[status(thm)],[c_176,c_4251]) ).

tff(c_4274,plain,
    ! [V_1324] :
      ( ~ be(skc8,V_1324,skc10,skc10)
      | ~ state(skc8,V_1324) ),
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_158,c_160,c_4259]) ).

tff(c_4281,plain,
    ~ state(skc8,skc9),
    inference(resolution,[status(thm)],[c_178,c_4274]) ).

tff(c_4288,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_4281]) ).

tff(c_4289,plain,
    ! [X5_985,X4_978,X3_989,X8_987,X6_977,X2_979,Y_983,X1_988] :
      ( ~ of(skc8,Y_983,X2_979)
      | ~ man(skc8,X2_979)
      | ~ event(skc12,X1_988)
      | ~ agent(skc12,X1_988,X2_979)
      | ~ present(skc12,X1_988)
      | ~ smoke(skc12,X1_988)
      | ~ forename(skc8,Y_983)
      | ~ jules_forename(skc8,Y_983)
      | ~ of(skc8,X8_987,X6_977)
      | ~ vincent_forename(skc8,X8_987)
      | ~ forename(skc8,X8_987)
      | ~ agent(skc8,skc13,X6_977)
      | ~ agent(skc8,X5_985,X6_977)
      | ~ man(skc8,X6_977)
      | ~ think_believe_consider(skc8,X5_985)
      | ~ present(skc8,X5_985)
      | ~ event(skc8,X5_985)
      | ~ theme(skc8,X5_985,X3_989)
      | ~ proposition(skc8,X3_989)
      | ~ accessible_world(skc8,X3_989)
      | ~ event(X3_989,X4_978)
      | ~ agent(X3_989,X4_978,skf4(X3_989))
      | ~ present(X3_989,X4_978)
      | ~ smoke(X3_989,X4_978) ),
    inference(splitRight,[status(thm)],[c_2647]) ).

tff(c_4435,plain,
    ! [X3_1343,X5_1344,X4_1347,X6_1346,X8_1345] :
      ( ~ of(skc8,X8_1345,X6_1346)
      | ~ vincent_forename(skc8,X8_1345)
      | ~ forename(skc8,X8_1345)
      | ~ agent(skc8,skc13,X6_1346)
      | ~ agent(skc8,X5_1344,X6_1346)
      | ~ man(skc8,X6_1346)
      | ~ think_believe_consider(skc8,X5_1344)
      | ~ present(skc8,X5_1344)
      | ~ event(skc8,X5_1344)
      | ~ theme(skc8,X5_1344,X3_1343)
      | ~ proposition(skc8,X3_1343)
      | ~ accessible_world(skc8,X3_1343)
      | ~ event(X3_1343,X4_1347)
      | ~ agent(X3_1343,X4_1347,skf4(X3_1343))
      | ~ present(X3_1343,X4_1347)
      | ~ smoke(X3_1343,X4_1347) ),
    inference(splitLeft,[status(thm)],[c_4289]) ).

tff(c_4445,plain,
    ! [X5_1344,X3_1343,X4_1347] :
      ( ~ vincent_forename(skc8,skc14)
      | ~ forename(skc8,skc14)
      | ~ agent(skc8,skc13,skc15)
      | ~ agent(skc8,X5_1344,skc15)
      | ~ man(skc8,skc15)
      | ~ think_believe_consider(skc8,X5_1344)
      | ~ present(skc8,X5_1344)
      | ~ event(skc8,X5_1344)
      | ~ theme(skc8,X5_1344,X3_1343)
      | ~ proposition(skc8,X3_1343)
      | ~ accessible_world(skc8,X3_1343)
      | ~ event(X3_1343,X4_1347)
      | ~ agent(X3_1343,X4_1347,skf4(X3_1343))
      | ~ present(X3_1343,X4_1347)
      | ~ smoke(X3_1343,X4_1347) ),
    inference(resolution,[status(thm)],[c_170,c_4435]) ).

tff(c_5308,plain,
    ! [X5_1525,X3_1526,X4_1527] :
      ( ~ agent(skc8,X5_1525,skc15)
      | ~ think_believe_consider(skc8,X5_1525)
      | ~ present(skc8,X5_1525)
      | ~ event(skc8,X5_1525)
      | ~ theme(skc8,X5_1525,X3_1526)
      | ~ proposition(skc8,X3_1526)
      | ~ accessible_world(skc8,X3_1526)
      | ~ event(X3_1526,X4_1527)
      | ~ agent(X3_1526,X4_1527,skf4(X3_1526))
      | ~ present(X3_1526,X4_1527)
      | ~ smoke(X3_1526,X4_1527) ),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_172,c_148,c_150,c_4445]) ).

tff(c_5313,plain,
    ! [X4_1527] :
      ( ~ agent(skc8,skc13,skc15)
      | ~ think_believe_consider(skc8,skc13)
      | ~ present(skc8,skc13)
      | ~ event(skc8,skc13)
      | ~ proposition(skc8,skc12)
      | ~ accessible_world(skc8,skc12)
      | ~ event(skc12,X4_1527)
      | ~ agent(skc12,X4_1527,skf4(skc12))
      | ~ present(skc12,X4_1527)
      | ~ smoke(skc12,X4_1527) ),
    inference(resolution,[status(thm)],[c_174,c_5308]) ).

tff(c_5352,plain,
    ! [X4_1545] :
      ( ~ event(skc12,X4_1545)
      | ~ agent(skc12,X4_1545,skf4(skc12))
      | ~ present(skc12,X4_1545)
      | ~ smoke(skc12,X4_1545) ),
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_168,c_152,c_154,c_156,c_172,c_5313]) ).

tff(c_5360,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_5352]) ).

tff(c_5367,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5014,c_1761,c_828,c_1226,c_5360]) ).

tff(c_5440,plain,
    ! [Y_1552,X2_1553,X1_1554] :
      ( ~ of(skc8,Y_1552,X2_1553)
      | ~ man(skc8,X2_1553)
      | ~ event(skc12,X1_1554)
      | ~ agent(skc12,X1_1554,X2_1553)
      | ~ present(skc12,X1_1554)
      | ~ smoke(skc12,X1_1554)
      | ~ forename(skc8,Y_1552)
      | ~ jules_forename(skc8,Y_1552) ),
    inference(splitRight,[status(thm)],[c_4289]) ).

tff(c_5448,plain,
    ! [X1_1554] :
      ( ~ man(skc8,skc10)
      | ~ event(skc12,X1_1554)
      | ~ agent(skc12,X1_1554,skc10)
      | ~ present(skc12,X1_1554)
      | ~ smoke(skc12,X1_1554)
      | ~ forename(skc8,skc11)
      | ~ jules_forename(skc8,skc11) ),
    inference(resolution,[status(thm)],[c_176,c_5440]) ).

tff(c_5724,plain,
    ! [X1_1623] :
      ( ~ event(skc12,X1_1623)
      | ~ agent(skc12,X1_1623,skc10)
      | ~ present(skc12,X1_1623)
      | ~ smoke(skc12,X1_1623) ),
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_160,c_162,c_5448]) ).

tff(c_5732,plain,
    ( ~ event(skc12,skf2(skc10))
    | ~ present(skc12,skf2(skc10))
    | ~ smoke(skc12,skf2(skc10))
    | ~ man(skc12,skc10) ),
    inference(resolution,[status(thm)],[c_186,c_5724]) ).

tff(c_5738,plain,
    ~ man(skc12,skc10),
    inference(demodulation,[status(thm),theory(equality)],[c_1761,c_828,c_1226,c_5732]) ).

tff(c_5741,plain,
    ~ accessible_world(skc8,skc12),
    inference(resolution,[status(thm)],[c_2198,c_5738]) ).

tff(c_5745,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_5741]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP257-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35  % Computer : n017.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
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 12:26:51 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 11.23/3.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.23/3.64  
% 11.23/3.64  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.55/3.69  
% 11.55/3.69  Inference rules
% 11.55/3.69  ----------------------
% 11.55/3.69  #Ref     : 0
% 11.55/3.69  #Sup     : 1269
% 11.55/3.69  #Fact    : 0
% 11.55/3.69  #Define  : 0
% 11.55/3.69  #Split   : 20
% 11.55/3.69  #Chain   : 0
% 11.55/3.69  #Close   : 0
% 11.55/3.69  
% 11.55/3.69  Ordering : KBO
% 11.55/3.69  
% 11.55/3.69  Simplification rules
% 11.55/3.69  ----------------------
% 11.55/3.69  #Subsume      : 539
% 11.55/3.69  #Demod        : 240
% 11.55/3.69  #Tautology    : 49
% 11.55/3.69  #SimpNegUnit  : 0
% 11.55/3.69  #BackRed      : 0
% 11.55/3.69  
% 11.55/3.69  #Partial instantiations: 0
% 11.55/3.69  #Strategies tried      : 1
% 11.55/3.69  
% 11.55/3.69  Timing (in seconds)
% 11.55/3.69  ----------------------
% 11.55/3.69  Preprocessing        : 0.61
% 11.55/3.69  Parsing              : 0.34
% 11.55/3.69  CNF conversion       : 0.05
% 11.55/3.69  Main loop            : 2.00
% 11.55/3.69  Inferencing          : 0.75
% 11.55/3.70  Reduction            : 0.64
% 11.55/3.70  Demodulation         : 0.42
% 11.55/3.70  BG Simplification    : 0.05
% 11.55/3.70  Subsumption          : 0.44
% 11.55/3.70  Abstraction          : 0.04
% 11.55/3.70  MUC search           : 0.00
% 11.55/3.70  Cooper               : 0.00
% 11.55/3.70  Total                : 2.68
% 11.55/3.70  Index Insertion      : 0.00
% 11.55/3.70  Index Deletion       : 0.00
% 11.55/3.70  Index Matching       : 0.00
% 11.55/3.70  BG Taut test         : 0.00
%------------------------------------------------------------------------------