TSTP Solution File: PUZ029-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n011.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 10:54:03 EDT 2023

% Result   : Unsatisfiable 2.86s 1.66s
% Output   : CNFRefutation 2.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   65 (  21 unt;  14 typ;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  109 (  55   ~;  54   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   21 (;  21   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ young > wise > treated_with_respect > pig > old > looks_ridiculous > liable_to_giddiness > has_umbrella > fat > eats_pennybuns > eats_lunch_in_public > dances_on_tightropes > balloonist > #nlpp > piggy

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_120,axiom,
    wise(piggy),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ! [X] :
      ( ~ liable_to_giddiness(X)
      | ~ wise(X)
      | ~ dances_on_tightropes(X) ),
    file(unknown,unknown) ).

tff(f_123,axiom,
    balloonist(piggy),
    file(unknown,unknown) ).

tff(f_121,axiom,
    young(piggy),
    file(unknown,unknown) ).

tff(f_75,axiom,
    ! [X] :
      ( ~ balloonist(X)
      | ~ young(X)
      | liable_to_giddiness(X) ),
    file(unknown,unknown) ).

tff(f_58,axiom,
    ! [X] :
      ( ~ wise(X)
      | ~ balloonist(X)
      | has_umbrella(X) ),
    file(unknown,unknown) ).

tff(f_122,axiom,
    pig(piggy),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ! [X] :
      ( ~ pig(X)
      | ~ has_umbrella(X)
      | looks_ridiculous(X) ),
    file(unknown,unknown) ).

tff(f_67,axiom,
    ! [X] :
      ( ~ looks_ridiculous(X)
      | ~ eats_pennybuns(X)
      | ~ eats_lunch_in_public(X) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [X] :
      ( dances_on_tightropes(X)
      | eats_pennybuns(X)
      | old(X) ),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ! [X] :
      ( ~ young(X)
      | ~ old(X) ),
    file(unknown,unknown) ).

tff(f_85,axiom,
    ! [X] :
      ( ~ fat(X)
      | ~ looks_ridiculous(X)
      | dances_on_tightropes(X)
      | eats_lunch_in_public(X) ),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [X] :
      ( ~ pig(X)
      | ~ liable_to_giddiness(X)
      | treated_with_respect(X) ),
    file(unknown,unknown) ).

tff(f_109,axiom,
    ! [X] :
      ( dances_on_tightropes(X)
      | ~ treated_with_respect(X)
      | fat(X) ),
    file(unknown,unknown) ).

tff(c_24,plain,
    wise(piggy),
    inference(cnfTransformation,[status(thm)],[f_120]) ).

tff(c_48,plain,
    ! [X_15] :
      ( ~ dances_on_tightropes(X_15)
      | ~ wise(X_15)
      | ~ liable_to_giddiness(X_15) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_52,plain,
    ( ~ dances_on_tightropes(piggy)
    | ~ liable_to_giddiness(piggy) ),
    inference(resolution,[status(thm)],[c_24,c_48]) ).

tff(c_53,plain,
    ~ liable_to_giddiness(piggy),
    inference(splitLeft,[status(thm)],[c_52]) ).

tff(c_30,plain,
    balloonist(piggy),
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_26,plain,
    young(piggy),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_80,plain,
    ! [X_21] :
      ( liable_to_giddiness(X_21)
      | ~ young(X_21)
      | ~ balloonist(X_21) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_86,plain,
    ( liable_to_giddiness(piggy)
    | ~ balloonist(piggy) ),
    inference(resolution,[status(thm)],[c_26,c_80]) ).

tff(c_90,plain,
    liable_to_giddiness(piggy),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_86]) ).

tff(c_92,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_53,c_90]) ).

tff(c_93,plain,
    ~ dances_on_tightropes(piggy),
    inference(splitRight,[status(thm)],[c_52]) ).

tff(c_41,plain,
    ! [X_14] :
      ( has_umbrella(X_14)
      | ~ balloonist(X_14)
      | ~ wise(X_14) ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_44,plain,
    ( has_umbrella(piggy)
    | ~ balloonist(piggy) ),
    inference(resolution,[status(thm)],[c_24,c_41]) ).

tff(c_47,plain,
    has_umbrella(piggy),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_44]) ).

tff(c_28,plain,
    pig(piggy),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_112,plain,
    ! [X_25] :
      ( looks_ridiculous(X_25)
      | ~ has_umbrella(X_25)
      | ~ pig(X_25) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_115,plain,
    ( looks_ridiculous(piggy)
    | ~ has_umbrella(piggy) ),
    inference(resolution,[status(thm)],[c_28,c_112]) ).

tff(c_118,plain,
    looks_ridiculous(piggy),
    inference(demodulation,[status(thm),theory(equality)],[c_47,c_115]) ).

tff(c_119,plain,
    ! [X_26] :
      ( ~ eats_lunch_in_public(X_26)
      | ~ eats_pennybuns(X_26)
      | ~ looks_ridiculous(X_26) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_123,plain,
    ( ~ eats_lunch_in_public(piggy)
    | ~ eats_pennybuns(piggy) ),
    inference(resolution,[status(thm)],[c_118,c_119]) ).

tff(c_124,plain,
    ~ eats_pennybuns(piggy),
    inference(splitLeft,[status(thm)],[c_123]) ).

tff(c_125,plain,
    ! [X_27] :
      ( old(X_27)
      | eats_pennybuns(X_27)
      | dances_on_tightropes(X_27) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_31,plain,
    ! [X_12] :
      ( ~ old(X_12)
      | ~ young(X_12) ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_35,plain,
    ~ old(piggy),
    inference(resolution,[status(thm)],[c_26,c_31]) ).

tff(c_128,plain,
    ( eats_pennybuns(piggy)
    | dances_on_tightropes(piggy) ),
    inference(resolution,[status(thm)],[c_125,c_35]) ).

tff(c_132,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_93,c_124,c_128]) ).

tff(c_133,plain,
    ~ eats_lunch_in_public(piggy),
    inference(splitRight,[status(thm)],[c_123]) ).

tff(c_149,plain,
    ! [X_30] :
      ( eats_lunch_in_public(X_30)
      | dances_on_tightropes(X_30)
      | ~ looks_ridiculous(X_30)
      | ~ fat(X_30) ),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_152,plain,
    ( eats_lunch_in_public(piggy)
    | dances_on_tightropes(piggy)
    | ~ fat(piggy) ),
    inference(resolution,[status(thm)],[c_118,c_149]) ).

tff(c_155,plain,
    ~ fat(piggy),
    inference(negUnitSimplification,[status(thm)],[c_93,c_133,c_152]) ).

tff(c_94,plain,
    liable_to_giddiness(piggy),
    inference(splitRight,[status(thm)],[c_52]) ).

tff(c_4,plain,
    ! [X_2] :
      ( treated_with_respect(X_2)
      | ~ liable_to_giddiness(X_2)
      | ~ pig(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_107,plain,
    ! [X_24] :
      ( fat(X_24)
      | ~ treated_with_respect(X_24)
      | dances_on_tightropes(X_24) ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_156,plain,
    ! [X_31] :
      ( fat(X_31)
      | dances_on_tightropes(X_31)
      | ~ liable_to_giddiness(X_31)
      | ~ pig(X_31) ),
    inference(resolution,[status(thm)],[c_4,c_107]) ).

tff(c_159,plain,
    ( fat(piggy)
    | dances_on_tightropes(piggy)
    | ~ liable_to_giddiness(piggy) ),
    inference(resolution,[status(thm)],[c_28,c_156]) ).

tff(c_162,plain,
    ( fat(piggy)
    | dances_on_tightropes(piggy) ),
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_159]) ).

tff(c_164,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_93,c_155,c_162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 17:36:21 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 2.86/1.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/1.67  
% 2.86/1.67  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.86/1.70  
% 2.86/1.70  Inference rules
% 2.86/1.70  ----------------------
% 2.86/1.70  #Ref     : 0
% 2.86/1.70  #Sup     : 20
% 2.86/1.70  #Fact    : 0
% 2.86/1.70  #Define  : 0
% 2.86/1.70  #Split   : 3
% 2.86/1.70  #Chain   : 0
% 2.86/1.70  #Close   : 0
% 2.86/1.70  
% 2.86/1.70  Ordering : KBO
% 2.86/1.70  
% 2.86/1.70  Simplification rules
% 2.86/1.70  ----------------------
% 2.86/1.70  #Subsume      : 0
% 2.86/1.70  #Demod        : 10
% 2.86/1.70  #Tautology    : 4
% 2.86/1.70  #SimpNegUnit  : 6
% 2.86/1.70  #BackRed      : 0
% 2.86/1.70  
% 2.86/1.70  #Partial instantiations: 0
% 2.86/1.70  #Strategies tried      : 1
% 2.86/1.70  
% 2.86/1.70  Timing (in seconds)
% 2.86/1.70  ----------------------
% 2.86/1.71  Preprocessing        : 0.40
% 2.86/1.71  Parsing              : 0.22
% 2.86/1.71  CNF conversion       : 0.02
% 2.86/1.71  Main loop            : 0.26
% 2.86/1.71  Inferencing          : 0.13
% 2.86/1.71  Reduction            : 0.06
% 2.86/1.71  Demodulation         : 0.04
% 2.86/1.71  BG Simplification    : 0.02
% 2.86/1.71  Subsumption          : 0.03
% 2.86/1.71  Abstraction          : 0.01
% 2.86/1.71  MUC search           : 0.00
% 2.86/1.71  Cooper               : 0.00
% 2.86/1.71  Total                : 0.70
% 2.86/1.71  Index Insertion      : 0.00
% 2.86/1.71  Index Deletion       : 0.00
% 2.86/1.71  Index Matching       : 0.00
% 2.86/1.71  BG Taut test         : 0.00
%------------------------------------------------------------------------------